Answer:
(x-9)(x-3) which is the same as (x-3)(x-9)
Step-by-step explanation:
Think of ways to factor the last number 27. One way is 1*27 = 27. Another way is 3*9 = 27 and so on. Now think to yourself "which factor of 27 add to -12?". You'll need to consider negative factors. It turns out that
-3 plus -9 = -12
-3 times -9 = 27
Therefore the two values we care about are -9 and -3. So x^2-12+27 factors to (x-3)(x-9). The order of the factors does not matter. So we can write the answer as (x-9)(x-3) just fine.
Jerry deposited $20,000 on an investment that will give $1,750 for every year that his money stays in the account. how much money will he have in his account by the end of year 8
the interest rate is 8.75%
Amount=20000(1+8.75%/100) into power of time 8
=39125.88
100e^0.125t=200
A. t= ln(16)
B. t= ln(256)
C. t= 8ln(100)
D. t= 0.08ln(200)
To solve the equation 100e^0.125t=200 for t, divide by 100, apply the natural logarithm, and rearrange to find t=ln(2)/0.125, which simplifies to t=ln(16).The Correct Answer is Option. A.
Explanation:The question involves solving for the variable t in the exponential equation 100e^0.125t=200.
To solve this, we need to isolate the exponent on one side. Here are the steps to find the correct value of t:
Divide both sides by 100 to get e^0.125t = 2.Apply the natural logarithm (ln) to both sides to obtain ln(e^0.125t) = ln(2).Simplify the left side using the property ln(e^x) = x, resulting in 0.125t = ln(2).Finally, divide both sides by 0.125 to find t. This gives t = ln(2)/0.125.The correct answer from the given options is A. t= ln(16), as ln(2) / 0.125 = ln(16).
Which statement best explains who earns the most money per item sold
Since you didn’t include the statements, the answer is Marsha.
Why? Her slope increases more per item sold than Dreya.
[tex]\text{The slope formula is: }y=mx+b[/tex]
Marsha earns the most money per item sold because her profit margin is higher, and her earnings increase more rapidly as she sells more items compared to Dreya. Correct option is 2.
Marsha earns the most money per item sold because her profit margin per unit is higher than Dreya's. Profit margin is calculated by subtracting the cost of producing or acquiring an item from its selling price and then dividing the result by the selling price. If Marsha's profit margin per item is larger than Dreya's, it means that she earns more money for each item sold.
The statement also mentions that Marsha's slope increases more per item sold than Dreya's. This likely refers to a graphical representation where Marsha's revenue or profit line has a steeper slope than Dreya's. A steeper slope indicates that Marsha's earnings increase at a faster rate for each additional item sold, reinforcing the idea that she earns more money per item.
To know more about profit:
https://brainly.com/question/34527061
#SPJ3
Complete question is:
The graph below shows the weekly salaries of two employees based on the number of items sold. Salaries A graph has items sold on the x-axis and weekly salary on the y-axis. A line for Dreya goes through points (0, 500) and (4, 600). A line for Marsha goes through points (0, 250) and (3, 400). Which statement best explains who earns the most money per item sold?
1. Dreya earns the most money per item sold because her line increases at a faster rate than Marsha’s.
2. Marsha earns the most money per item sold because her line increases at a faster rate than Dreya’s.
3. Dreya earns the most money per item sold because her line begins at a higher point than Marsha’s.
4. Marsha earns the most money per item sold because her line begins at a higher point than Dreya’s.
Jina is chosing a 2-letter password from the letters A,B,C, and D. The password cannot have the same letter repeated in it. How many such passwords are possible?
I need help with this please
5 decimal jumps to the right is a shortcut to what math
In this Decimal Point Movement question, Moving the decimal five places to the right in mathematics is a shortcut for multiplication by 105 (one hundred thousand). This uses the principle of powers of ten.
In mathematics, moving the decimal five places to the right is actually a shortcut for multiplying by 105, or 100,000. This concept utilizes the patterns in powers of ten. For instance, for any given number, we can count the zeros in the power of ten and then move the decimal point that same number of places to the right.
Illustrating with an example, let's say we have the number 5.27. If we multiply it by 105, we move the decimal five places to the right to get 527000. This aligns with the multiplication principle: when we multiply by 10, 100, 1000, and so on, each time, we are essentially incrementing the decimal place to the right.
Learn more about Decimal Point Movement here:
https://brainly.com/question/14292066
#SPJ12
The Sumerian civilization believed in the divine right of kings.
True False
Please help. I will mark Brianly !
It’s a positive because 1,132,701 is greater than -47,320
Hope that helps :)
Plz help ASAP thanks !! 30 points!
What is the value of x ?
Remark
The 2 angles are vertically opposite and that means they are equal.
Equation
(3x - 3) = [6(x - 10)]
Solution
Remove the brackets.
3x - 3 = 6(x - 10)
3x - 3 = 6x - 60 Subtract 3x from both sides
- 3 = 6x - 60 - 3x Combine like terms
-3 = 3x - 60 Add 60 to both sides
-3 + 60 = 3x
57 = 3x Divide by 3
57 / 3 = 3x / 3
19 = x Answer
3x+10y=13
4(-2y+x)-9x=13
Answer:
[tex]x=-9[/tex]
[tex]y=4[/tex]
Step-by-step explanation:
[tex]3x+10y=13[/tex] ← Equation 1
[tex]4(-2y+x)-9x=13\\[/tex]
By simplifying the above equation we get,
[tex]-8y+=4x-9x=13[/tex] (Simplifying the brackets)
[tex]-8y-5x=13[/tex] (By subtracting [tex]-9x[/tex] from [tex]+4x[/tex]) ← Equation 2
Multiply Equation 1 by 5 and Equation 2 by 3 and add them together.
Equation 1 multiplied by 5 will give,
[tex]15x+50y=65[/tex]
Equation 2 multiplied by 3 will give,
[tex]-24y-15x=39[/tex]
Add those together,
[tex]15x+50y-24y-15x=65+39[/tex]
[tex]26y=104[/tex] (After simplifying [tex]x[/tex] values)
Therefor [tex]y=4[/tex]
By substituting [tex]y=4[/tex] to Equation 1 we get,
[tex]3x+10*4=13[/tex][tex]3x+40=13\\3x=-27\\x=-9[/tex]
Therefor we can say,
[tex]x=-9[/tex]
[tex]y=4[/tex]
HE;P ME!!!!!
The average rainfall in Annette, Alaska is 0.31 inches per day. How much rain falls over the course of an average September?
The average amount of rain fall is 9.61 inches
The average rainfall in Annette, Alaska is 0.31 inches per day. Over the course of an average September, the total amount of rain that falls is 9.3 inches.
Explanation:To find out how much rain falls over the course of an average September, we need to know the number of days in September. Let's assume there are 30 days. Given that the average rainfall in Annette, Alaska is 0.31 inches per day, we can calculate the total rainfall by multiplying the average rainfall per day by the number of days in September: 0.31 inches/day * 30 days = 9.3 inches.
Learn more about Average Rainfall in September here:https://brainly.com/question/11727970
#SPJ3
which of the following sets of constraints forms an unbounded feasible region?
x≤0, y≥0, y≤2
x≥0, x≤2, y≥0, y≤3
x≥-2, x≤0, y≥0, y≤2
x≥0, x≤2, y≥0, y≤2
The third one is the right answer
Answer:
its a :)
Step-by-step explanation:
One serving of yogurt has 95 cal what is a reasonable estimate for the number of calories in 2.5 servings of yogurt One serving of yogurt has 95 cal what is a reasonable estimate for the number of calories in 2.5 servings of yogurt
Answer:
2.5 servings have 237.5 calories.Step-by-step explanation:
To solve this problem we need to apply the rule of three.
If one serving has 95 calories, then how much calories would have 2.5 servings?
[tex]2.5 \ servings \ \frac{95 \ calories}{1 \ serving}=237.5 \ calories[/tex]
Therefore, 2.5 servings have 237.5 calories.
the ratio of yellow roses to red roses in a garden is 47 to 96. express this ratio in two different ways
A. 51 and 28
B. 17 and 84
C. 17 and 51
D. 51 and 84
Answer: the answer is c
jade as $20. she wants to buy as many bracelets as she can afford. Each bracelet costs $3.78. ade estimated she could buy 5 brackets, then did this calculation: $3.78×5=$18.90
Answer:
Jade is able to buy 5 bracelets
Step-by-step explanation:
A restaurant has 1,996 forks, 1,745 knives and 2,116 spoons. The owner wants to have 2,000 of each utensil. She can buy more utensils or donate extra utensils. How many additional forks and knives are need? How many extra spoons are there?
Answer:
4 forks and 255 knives will be needed more, while 116 spoons are extra.
Step-by-step explanation:
A restaurant has 1996 forks, 1745 knives and 2116 spoons.
Owner wants to have 2000 of each utensil.
So make them equal to 2000, number of forks needed = 2000 - 1996 = 4
[Subtracted from 2000 because number of forks are less than 2000]
Number of knives needed = 2000 - 1745
= 255
[Again subtracted from 2000 because number of knives are less]
Number of spoons to be donated = 2116 - 2000
= 116
[2000 is subtracted from total number of spoons because spoons are more than 2000]
Therefore, 4 forks and 255 knives will be needed more, while 116 spoons are extra.
Can I get some help on 3-5 please I don't understand how to do this :']
Determine whether the given lengths can be sides of a right triangle.
10 in., 26 in., 24 in.
Can 10, 26, and 24 be the lengths of the sides of a right triangle?
Shane and Karen want to measure the length of a soccer field. Should they use centimeters or meters to measure it. Explain
Hello!
They should most definitely use meters. Meters are much bigger than centimeters as centimeters are 1/100th of a meter. Meaning, it will take 100 centimeters to get 1 meter. A soccer field is a large surface, and to get a simpler number, you should use meters.
Hope this helps!
A jug contained 6qt of Kolkata. Tom drank 3/8 of the jug. How much did he drink?
Tom drank 2.25qt of the jug, in fraction form it would be 2 1/4
What’s the product of 4(-3)
Divide 3,724 ÷ 6. What is the remainder? The remainder is?
The answer is 620.6666666666667
The remainder is 620.7 or 620.6
Line JK has the slope 3/4 and is perpendicular to line LM. What is the slope of line LM?
Answer:
The slope of line [tex]LM[/tex] is [tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
Line [tex]JK[/tex] has the slope [tex]\frac{3}{4}[/tex] and is perpendicular to line [tex]LM[/tex]
Suppose, the slope of line [tex]LM[/tex] is [tex]m[/tex]
We know that, the product of the slopes of two lines which are perpendicular to each other is always [tex]-1[/tex]. So, the equation will be..............
[tex]\frac{3}{4}*m= -1\\ \\\frac{3m}{4}=-1\\ \\ 3m= -4\\ \\ m=-\frac{4}{3}[/tex]
So, the slope of line [tex]LM[/tex] will be [tex]-\frac{4}{3}[/tex]
which are discrete variables ????
Answer:
E, C
Step-by-step explanation:
The length of a rectangle is seven times the width. To express the length and the width in terms of the same variable, let W be the width. Then the length is
What is the value of f? 6f − 12 = −4f + 6
A. −9
B. −3/5
C. 1 4/5
D. 9
The answer is D! Aight hope it helped
The value of f in the equation 6f − 12 = −4f + 6 is 1 4/5.
Explanation:To answer the student's question, we need to solve the algebraic equation 6f − 12 = −4f + 6 for the unknown variable f. First, we want to get all terms with f on one side of the equation, and all constant terms on the other side. Thus, we'll add 4f to each side of the equation to eliminate -4f from the right side of the equation and get 6f + 4f = 6 + 12. This simplifies to 10f = 18, then we divide each side by 10, and we get f = 18/10 which reduces to f = 1 4/5 (Option C).
Learn more about Algebra here:https://brainly.com/question/32436021
#SPJ2
48 times 24 pleaseeee
48 times 24 is 1,152.
48x24=672
Hope I helped!
ΩωΩ
one pump can empty the pool in 5 days, whereas a second pump can empty the pool in 7 days. how long it will take the two pumps, working together, to empty the pool?
I need help with this!
Solution
f(r) = 3.14[tex]r^{2}[/tex]
Now we have to find the area of the circle when the radius (r) = 4.
Plug in r = 4 in f(r) to get the area of the circle.
f(4) = 3.14[tex](4^{2} )[/tex]
f(4) = 3.14 * 4 * 4
f(4) = 3.14 *16
f(4) = 50.24
The answer is C. 50.24
A coffee merchant wants to make 6 pounds of a blend of coffee costing five dollars per pound. The blend is made using a six dollar per pound grade coffee and a three dollar per pound grade of coffee. How many pounds of each of these grades should be used?
Answer:
We should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.
Step-by-step explanation:
The blend should,
Cost = $5
Weigh = 6 pounds.
Lets take the weight of $6 coffee as [tex]x[/tex] pounds
And lets take the weight of $3 coffee as [tex]y[/tex] pounds.
Lets write an equation for the weight of the blend,
[tex]x+y=6[/tex] <---------- 1st equation.
[tex]\frac{6x+3y}{x+y} =5[/tex]
=[tex]6x+3y=5x+5y[/tex]
=[tex]x=2y[/tex] <---------- 2nd equation
We can substitute to x in 1st equation from 2nd equation,
⇒[tex]2y+y=6[/tex]
=[tex]2y+y=6[/tex]
=[tex]3y=6[/tex]
=[tex]y=2[/tex]
We can substitute y value to 2nd equation to find x,
⇒[tex]x=2y[/tex]
=[tex]x=2*2[/tex]=[tex]x=4[/tex]
Therefore, we should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.