8A = [tex]2^{n + 3} * 3 * 5^{m}[/tex] is a product of powers of its prime factors of Polynomials.
What is Polynomials ?
Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video.Given - [tex]2^{n} * 3 * 5^{m}[/tex]
The numbers 2, 3 and 5 are already prime numbers.
Multiplying 8 on both sides
8 × A = [tex]2^{n} * 3 * 5^{m} * 8[/tex]
Expressing 8 as the product of prime numbers
8A = [tex]2^{n} * 3 * 5^{m} * 2 * 2 * 2[/tex]
8A = [tex]8A = 2^{n} * 3 * 5^{m} * 2^{3}[/tex] (When the base is same, the power is added)
Adding the power of base 2, we add n and 3
8A = [tex]2^{n + 3} * 3 * 5^{m}[/tex]
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Can anybody help me with this
Answer:
C. triangle 1 and triangle 2
Step-by-step explanation:
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
A graphic designer enlarges a 12 inch long picture to a 2 1/2 foot long banner. At this setting if the picture is 16 inches wide how wide is the banner
Based on the enlargement the graphic designer applied to the length of the picture, the banner is as wide as 3 ⁸/₁₂ foot long
What is the width of the banner?The fact that 12 inch was enlarged to 2.5 foot means that every inch is:
= 2.5 / 12
= 2.5/12 foot
This means that if the picture was 16 inches wide, the enlarged size of the banner would be:
= 16 x 2.5/12
= 40 / 12
= 3.33
= 3 ⁸/₁₂ foot long
In conclusion, the width of the banner is 3 ⁸/₁₂ foot long
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Why doesn’t 4.5x100=4.500 make sense?
Answer:
it doesnt make sense because when u add 0's you move the decimal for every 0 added so it would be 450
Step-by-step explanation:
a safety inspector found flaws in 3 out of 540 lamps built in a factory what is the probability that the next lamp she expects is flawed.
The probability that the next lamp safety inspector expects will be defective is 1/180.
What is probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.Formula: P = favourable events/Total events
Put the values in the formula and solve as follows:
P = favourable events/Total eventsP = 3/540P = 1/180Therefore, the probability that the next lamp safety inspector expects will be defective is 1/180.
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Quadrilateral ABCD is a rectangle. Find the coordinates for Point B.
Answer:
(8,25)
Step-by-step explanation:
twenty professiional athlets were asked what age did you graduate from college the responses are displayed in the histogram below
According to the given graph:
Age at graduation (in years) between 45 to 50 years.Age at graduation (in years) between 20 to 25 years.What is histogram?A histogram is a data representation that looks like a bar graph that bins a variety of classifications into columns and along the horizontal x-axis. The number count or percentage of occurrences inside this data for each column is represented by the vertical y-axis. Columns can be utilized to display data distribution patterns.
When should a histogram be used?When you're taking continuous measurements and you want to understand the distribution of results and look for outliers, use histograms. These graphs divide your continuous measurements into value ranges known as bins.
According to the given data:Based on these data, the numbers below appear to represent the smallest.:
= Age at graduation (in years) between 45 to 50 years.
Based on these data, the numbers below appear to represent the largest.
= Age at graduation (in years) between 20 to 25 years.
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I understand that the question you are looking for is:
Twenty professional athletes were asked, “What age did you graduate from college?” The responses are displayed in the histogram below.
Frequency 20 30 Age at graduation (in years) 40 50
(a) Which of the statistics below appear to be the smallest based on these data?
(b) Which of the statistics below appear to be the largest based on these data?
Which number sentence is true?
PLEASE HELPP
Consider the composite function g(f(x)) = x√6.
If f(x) = 3x², what is g(x)?
O g(x)=√2x
O g(x)=√x+3
O g(x)=√6x
O g(x)=√9-x
What is the answer to (-3.4)(5)
Answer:
-17
here is what yourrrr looking for
Answer:
-17
Step-by-step explanation:
Straight multiplication of a negative times a positive
Use the value of the ratio to fill in the following two multiplicative comparison statements. a. The number of pancakes made is ________ times the amount of cups of flour needed. b. The amount of cups of flour needed is ________ of the number of pancakes made
The value of the ratio to fill in the following two multiplicative comparison statements are:
(A) The number of pancakes made is 5 times the amount of flour required. (B) The amount of flour required is 1/5 of the number of pancakes made.What do we mean by ratio?A ratio in mathematics indicates how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3). Similarly, the proportion of lemons to oranges is 6:8 (or 3:4), and the proportion of oranges to total fruit is 8:14. (or 4:7).The number of pancakes made is five times the amount of flour required. The amount of flour required is one-fifth of the number of pancakes made.Therefore, the value of the ratio to fill in the following two multiplicative comparison statements are:
(A) The number of pancakes made is 5 times the amount of flour required. (B) The amount of flour required is 1/5 of the number of pancakes made.Know more about ratios here:
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1. m/A
= 62°
Complement
Supplement
For the given value of angle;
∠A = 62°
The complement of ∠A is; 90 - ∠A
complement = 90 - 62
complement = 28°
Now, for supplementary angle:
If the sum of the two angles equals 180°, the angles are supplementary. Each angle is referred to as a supplement from another angle.For the given: ∠A = 62°
supplementary = 180 - 62
supplementary = 118°
Thus, the complement and supplement are obtained as 28° and 118°.
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W to the power of 3 = 125 when W =
Answer:
W to the power of 3 =125
And 125 is same as 5 power power 3.
Therefore W = 5.
K
The amount of oil imported to Country A from Country B in millions of barrels per day can be approximated by the equation y=0.051x+1.38, where x is the number of years since 1970. Solve this equation for x. Use the new equation to determine in which year the approximate number of oil barrels imported from Country B per day will be 1.89 million.
First, solve the equation for x.
algebraic equation solving x, we concluded that In the year 1980 the approximate number of oil barrels imported from Country B per day will be 1.89 million.
What exactly is a mathematical linear equation?An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
Given the equation is :y=0.051x+1.38
Let us put y = 1.89
1.89 = 0.051x + 1.38
⇒ x = 0.51/0.051
⇒ x = 10
After ten years, 1.89 million oil barrels per day will be roughly imported from Country B.
Around 1.89 million oil barrels per day would be imported from Country B in the year 1980.
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Question 9 of 20
The police department of a city with a population of 150,000 wants to know
how many residents wear their seatbelts regularly. Which sample size would
make the study most reliable?
OA 150
OB. 1500
OC.5
D. 15
The sample size that would make the study on the residents that wear seatbelts regularly most reliable is B. 1,500.
Which sample size is more reliable?When creating samples, there is a general rule that the higher the sample size, the more reliable the study is.
This is because a larger sample size is more likely to capture the characteristics of the population it is based on.
The most reliable sample size here is therefore 1,500 people.
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in the diagram, CD || EF, G, -70° and HI - HG. Calculate the values of x, y and z
The measures of the angles are x = 40, x = 110 and y = 70
What are angles?Angles are formed when two or more lines intersect
How to calculate the values of x, y and z?The figure represents the given parameters
On the figure, we have the following highlights
Angle 3 and angle y are corresponding angles.
Corresponding angles are congruent
So, we have
y = Angle 3
From the figure
Angle 3 = 70
So, we have
y = 70
The angle on a straight line is 180 degrees
So, we have
x + y = 180
This gives
x + 70 = 180
Evaluate the like terms
x = 110
The triangle is an isosceles triangle.
So, we have
y = Angle 2
This means that
Angle 2 = 70
The sum of angles in a triangle is 180
So, we have
z + y + Angle 2 = 180
This gives
z + 70 + 70 = 180
Evaluate
z = 40
Hence, the measures of the angles are x = 40, x = 110 and y = 70
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There are 15 triangles and 6 circles. What is the simplest ratio of circles to triangles?
Answer:
2:5, 2/5, 2 to 5
Step-by-step explanation:
The ratio is 6 to 15, but you can simplify that to 2 to 5.
3(−5.8 + w) = 22.62 what dose the W =
w = −1.3
w = 1.3
w = 5.6
w = 13.34
Answer:
d. w=13.34
Step-by-step explanation:
The value of w is 13.34 for the given equation. The correct answer is option D.
What is the solution to the equation?A solution to an equation is a number that can be substituted for the variable to provide a true number statement.
The equation is given as follows:
3(−5.8 + w) = 22.62
First, we distribute the 3 on the left side of the equation:
-17.4 + 3w = 22.62
Next, we isolate the variable by adding 17.4 to both sides of the equation:
-17.4 + 3w + 17.4 = 22.62 + 17.4
3w = 40.02
Finally, we solve for w by dividing both sides of the equation by 3:
w = 13.34
Therefore, the value of w is 13.34, so the answer is option D.
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London answered 51 questions correctly on her multiple choice science final and earned a grade of 85%. How many total questions were on the final exam?
If the length of a rectangle is L and the width is w, write an algebraic expression for the perimeter of the rectangle.
Tysm in advance!
Answer: P=2L+2w
Step-by-step explanation:
P=perimeter.
P=2L+2w ==> there are two lengths and two widths in a rectangle. That totals to 4 sides in a rectangle.
7x-2y-10x+5+8y simplified please show steps
Answer:-3x-10y+5
Step-by-step explanation:
7x-2y-10x+5+8y
-3x-2y+5-8y
-3x-10y+5
What is the standard unit of temperature? What can be used to measure temperature?
Answer:
Kelvin, thermometer
Step-by-step explanation:
Unit: kelvin
Measure temperature: thermometer
Ava has a part-time job at a store. She earns a weekly salary. She also
earns a $0.60 bonus for each gift card she sells. The expression
65 +0.60g shows Ava's total weekly earnings. Identify any variables,
Defficients, and terms in the expression. Tell what each represents.
Based on the given expression, the parameters are:
The variable = gThe coefficient = 0.60The constant = 65AlgebraThis is a system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols, that is substituting one thing for another.
Given expression: 65 + 0.60g
Bonus for each gift card = $0.60Weekly salary = $65Number of gift cards sold = gFrom the expression:
The variable = gThe coefficient = 0.60The constant = 65Learn more about algebra:
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Suppose that you purchase a machine for $800 at the beginning of the year and that the value of the machine on the retail market drops by $16 per month. Write a linear model for the current value P of the machine on the retail market (in dollars) at year
t (with t=0 being the year that the machine was purchased).
Note: the '' P(t)= '' is already provided and pay attention to units.
Hi
T (0) = 800
T(n+1) = T (n) - 16
General formula is : T(n) = 800- 16*n
with "n" the year you are.
exemple : if you search value of machine at year 3, it's value is :
t(3) =800 -16*3
t(3)= 800 -48
t(3) = 752
36- x=3 help me xdddddddd
The linear equation is
x=33
A linear equation in one variable is defined as an equation with only one variable. The standard form of linear equation in one variable is stated as Ax + B = 0, where A and B can be any two numbers, and x has just one possible value.
36- x=3
x=33
The coefficients can be considered as parameters of the equation, and may be arbitrary expressions, supplied they do no longer incorporate any of the variables. To yield a significant equation, the coefficients required to now not all be 0.
alternatively, a linear equation can be obtained by using equating to zero a linear polynomial over a few area, from which the coefficients are taken.
The answers of such an equation are the values that, whilst substituted for the unknowns, make the equality true.
within the case of just one variable, there may be precisely one solution
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Express the solution graphically 2/3(x-9)>-8
The solution of the inequality given as 2/3(x - 9) > 8 is x > 21
How to express the solution graphically?The inequality is given as
2/3(x - 9) > 8
Multiply both sides by 3/2
So, we have
x - 9 > 12
Add 9 to both sides of the inequality
So, we have
x > 21
Hence, the solution of the inequality given as 2/3(x - 9) > 8 is x > 21
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Use the table to write an expression that shows how many total baskets the Cavaliers made during the season. Simplify the expression.
The expression that shows how many total basket the Cavaliers made during the season is 1978+f
The total number of free throws = 1484
The number of two point field goals = f
The number of 3 point field goals = 494
Total number of basket Cavaliers made during the season = Number of free throws + Number of two point goals + Number of three point field goals
Substitute the values in the equation
Total number of basket Cavaliers made during the season= 1484 + f +494
Add them together
1484+ f +494= 1978+f
Hence, the expression that shows how many total basket the Cavaliers made during the season is 1978+f
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A man has 19 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 355
cents, how many dimes and how many quarters does he have?
Let a be the number of dimes and y be the number of quarters.
Write an equation that expresses the information in the sentence "A man has 19 coins."
Write an equation that expresses the information in the sentence "The total value of change is 355 cents."
Solve the system you have written above.
The number of dimes, a is
The number of quarters, y is
Answer:
8 dimes11 quartersStep-by-step explanation:
You want to find the number of dimes (x) and the number of quarters (y) in 19 coins that have a total value of $3.55.
SetupUsing the given variables, we can write two equations. One is for the number of coins; the other is for their value.
x + y = 19 . . . . . . . . . . . number of coins
10x +25y = 355 . . . . . value in cents
SolutionIt usually works well to solve an equation involving the highest-value coin. That means we want to eliminate the x-variable. Using the first equation, we can write ...
x = 19 -y
Substituting into the second equation, we get ...
10(19 -y) +25y = 355
190 +15y = 355 . . . simplify
15y = 165 . . . . . . . subtract 190
y = 11 . . . . . . . . . . divide by 15
x = 19 -11 = 8
The number of dimes is 8.
The number of quarters is 11.
__
Alternate solution
The average coin value is 355/19 = 18 13/19 cents. The proportion of the highest-value coins is the ratio of the difference between this value and the lowest value, divided by the difference in values.
proportion of quarters = (18 13/19 -10)/(25 -10) = (8 13/19)/15 = (165/19)/15
proportion of quarters = 11/19
Multiplying this by the number of coins (19) gives the number of quarters:
(11/19)×19 = 11 . . . . quarters
You may recognize some similarities to the above solution.
__
Additional comment
Once you understand this generic solution to a mixture problem, you can use it to write down the answer without bothering with variables and equations.
16. A collection of dimes and nickels is worth $3.10. If there are 45 coins in all, how many of each kind of coin are there?
Answer:
28 nickels and 17 dimes
Step-by-step explanation:
A nickel is worth 5 cents and a dime is worth 10 cents
If there are X nickels and Y dimes
Total value = 5X + 10Y cents
$3.10 == 3.10 x 100 = 310 cents
So 5X + 10 Y = 310
Divide both sides by 5 to get
5X/5 + 10Y/5 = 310/5
X + 2Y = 62 (1)
The total number of coins is X + Y and is given to be 45
X + Y = 45 (2)
Subtract Eq(2) from Eq(1) to get
X + 2Y - (X + Y) = 62-45 = 17
X + 2Y - X - Y = 17
Collecting like terms
(X - X) + (2Y - Y) = 17
Y = 17
So number of dimes = 17
To find X, the number of nickels use equation (2)
X + 17 = 45
Subtract 17 from both sides
X + 17 - 17 = 45 - 17
X = 28
So number of nickels = 28
Can you guys help me solve this ?
Answer:
48,485
Step-by-step explanation:
I don't know if that would fit in the box but it wants a rounded form of the answer in a whole number. It was actually 48484.84 and so on, but since we want it in a whole number, I decided to round the .8 since it is above 5 which would round up the answer to 48485. the 4 after the .8 can't do anything besides round down since it isn't higher than 5.
Jamie paid the rent well past the due date for the months of April, May and June,
As a result, he had been charged a total of $75 as late fee. How much did he pay as
late fee per month?
According to the arrangement, he must pay a late fee of $25 each month.
Describe division:The inverse of multiplication is division. If three groups of four add up to twelve, twelve divided into three equal groups adds up to four in each group. The basic purpose of splitting is to determine how many equal groups have been formed or how many people are in each group when equitably sharing.
What exactly is a division formula?To divide two numbers, use the formula Dividend Divisor = Quotient + Remainder. The dividend seems to be the number being divided in this case. The number that divides the number (dividend) into equally equal parts is known as the divisor.:
According to the given data:Total late fee = $75.
Rent late for 3 months.
Late fee per month= total late fee/ months
= 75/3
= 25.
Late fee per month= $25.
According to the arrangement, he must pay a late fee of $25 each month.
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