The additive inverse of 6x is -6x.
This is because 6x + (-6x) = 6x - 6x = 0
Answer:
-6x
Step-by-step explanation:
It's a little unclear from the question what you mean, but I assume you mean the 'additive inverse'. In terms of solving equations, this term typically means we just minus 6x. i.e - 6x.
However, if the question means find the inverse function of f(x) = 6x,
then this would be a different answer: in particular, the inverse function is the function that 'undoes' this, so it would be f-1(x) = x/6.
27/9+8ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Answer:
3+8g
Step-by-step explanation:
27/9+8g=3+8g
Round 48.073 to the nearest hundredth.
Answer: 48.07
Step-by-step explanation:
48.073 Rounded to the Nearest Hundredth
To round 48.073 to the nearest hundredth consider the thousandths' value of 48.073, which is 3 and less than 5. Therefore, the hundredths' value of 48.073 remains 7.
evaluate x+6 when x=7
Answer:
13
Step-by-step explanation:
x + 6 = ?
[Replace x with 7]
7 + 6 = 13
Tom's real estate office reports that the office's income last month was $315,600, while expenses were $19,567.20. What percent of last month's income was spent on office expenses?
Answer:
6.2% of last month's income was spent on office expenses
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Office's income last month = $ 315,600
Expenses last month = $ 19,567.20
2. What percent of last month's income was spent on office expenses?
To calculate this percent, we use this fraction:
Expenses last month/Office's income last month
Replacing with the real values:
19,567.20/315,600 = 6.2%
6.2% of last month's income was spent on office expenses
Final answer:
Tom's real estate office spent 6.2% of its income on office expenses last month. This was calculated by dividing the expenses by the income and then multiplying by 100.
Explanation:
To determine what percent of last month's income was spent on office expenses for Tom's real estate office, you need to use the formula for calculating the percentage of expenses relative to income. The formula is:
Percentage of Expenses = (Expenses ÷ Income) × 100
Now, we were given that the office's income last month was $315,600 and the expenses were $19,567.20. Substituting these numbers into our formula gives us:
Percentage of Expenses = ($19,567.20 ÷ $315,600) × 100
Percentage of Expenses = (0.062 × 100)
Percentage of Expenses = 6.2%
Therefore, 6.2% of last month's income was spent on office expenses.
2 3/4 convert this number into an Improper fraction
Answer:
11/4
Step-by-step explanation:
A swimming pool has an average depth of 1.6 m. It is 50 m long and 30 m wide. What is the volume?
Answer:
2400m³
Step-by-step explanation:
50 * 30 * 1.6 =
1500 * 1.6 = 2400m³
The number 57 is more than the number of situps Lyle can do. Which of the following inequalities represents the number of situps Lyle can do?
A.
x = 57
B.
x > 57
C.
x = 49
D.
x < 57
Final answer:
The correct inequality to represent the number of situps Lyle can do, if 57 is more than he can do, is D. x < 57, indicating that Lyle can do fewer than 57 situps.
Explanation:
The inequality that represents the number of situps Lyle can do, given that the number 57 is more than the number of situps Lyle can do, is x < 57. This is because if 57 is more than what Lyle can do, then Lyle can do any number of situps that is less than 57.
To represent this relationship mathematically, we use the inequality sign '<'. Thus, the correct option from the provided choices is D. x < 57. This means Lyle can do 56, 55, 54, etc., situps, but not 57 or any number greater than 57.
What is the answer? 56b×77b÷11
Answer:
392b²
Step-by-step explanation:
56b×77b÷11
56b×7b
392b²
At the start of an experiment, there are 2,500 bacteria in a colony. The colony grows at a rate of 11% every hour. What will be the number of bacteria in the colony after n hours?
The number of bacteria in the colony after n hours is 2,500 × (1 + 0.11)ⁿ.
Exponential growth N = N0 × (1 + r)ᵃ
Where N = final population size
N0 = initial population size
r = growth rate
a = time in hours
After n hours the colony's size = 2,500 × (1 + 0.11)ⁿ.
the coordinatinates of the centroid of a triangle with the given vertices 3,3 5,-1 -2,1
Answer:
Therefore, the coordinates of the centroid of a triangle is
[tex]G(x,y)=(2,1)[/tex]
Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( 3, 3)
point B( x₂ , y₂) ≡ (5 , -1)
point C( x₃ , y₃) ≡ (-2 , 1)
To Find:
Centroid, G (x,y) = ? (say)
Solution:
Centroid:
Centroid is a point where all the three medians of the triangle intersect.
It is denoted as G and the coordinates are give by
[tex]G(x,y)=(\dfrac{x_{1}+x_{2}+x_{3}}{3},\dfrac{y_{1}+y_{2}+y_{3}}{3})[/tex]
Substituting the values we get
[tex]G(x,y)=(\dfrac{3+5+-2}{3},\dfrac{3+-1+1}{3})[/tex]
[tex]G(x,y)=(\dfrac{6}{3},\dfrac{3}{3})=(2,1)[/tex]
Therefore, the coordinates of the centroid of a triangle is
[tex]G(x,y)=(2,1)[/tex]
Evaluate the following: −3 − (−2). (5 points) Question 1 options: 1) −5 2) −1 3) 1 4) −6
Answer:
2) -1
Step-by-step explanation:
it is easy
we have to first open the brackets, as it is ' - ' we have to change the sign to opposite of that of the number in the bracket and then solve it.
so the number 2 is having negative sign, we make it positive. this rule is applied only when there is a negative sign and a bracket is there.
-3-(-2)
-3+2
=-1
how to solve 2 divided by 1571 step by step
Answer: 785.5
Step-by-step explanation:
Final answer:
To solve 2 divided by 1571, recognize it as a fraction 2/1571, which cannot be simplified. Perform long division, adding zeros as necessary, to find its decimal representation, which will be very small.
Explanation:
To solve 2 divided by 1571 step by step without a calculator, you can follow these steps:
Understand that this division represents a fraction, 2/1571.
Recognize that this fraction cannot be simplified further since 2 and 1571 have no common factors other than 1.
To find the decimal form, you can perform long division. However, since 2 is much smaller than 1571, the decimal will start with 0. As 2 cannot be divided by 1571, in the first step of long division, you would put a 0 to the right of the decimal point in your answer.
Next, you would need to add a 0 to the right of 2 (making it 20), since 1571 still cannot go into 2. Then, determine how many times 1571 can go into 20, which will still result in 0, and so on, adding zeros and comparing until you reach a desired level of precision.
This process will yield a very small decimal, indicating that 2/1571 is a fraction much less than 1.
what are the domain and range and asympote of h(x)=6^x -4?
Answer:
Domain: (-oo, oo)
Range: (-4,oo)
Horizontal asymptote: y=-4
Answer:
The domain is all Real numbers.
The range is all real values > -4.
Step-by-step explanation:
The asymptote is y = -4.
Please HELP. ASAP. DUE TODAY AT 1:40. PLEASE ASAP PLEASE HELP MAY JESUS BE WITH YOU, I APPRECIATE YOU IF YOU HELP
Answer:
1. The answer is B.
2.The answer is A.
Answer:
A
Step-by-step explanation:
Blueberry = 4 1/2 = 9/2
Raspberry = 1 4/6 = 10/6 = 5/3
Strawberry = 3 2/5 = 17/5
Total berries = sum total of all the berries = 9/2 + 5/3 + 17/5
The LCM is 30
Total berrie={9(15) + 5(10) + 17(6)}/30
= (135 + 50 + 102)/30
= 287/30
= 9 17/30
Which is the value of i^20+1?
Answer:
Step-by-step explanation:
[tex]i^{20}+1=i^{2*10}+1\\\\(i^{2})^{10}+1=(-1)^{10}+1\\\\=1+1=2[/tex]
13. Charles runs at a rate of 12 kilometers per hour.
What is Charles' speed in meters per minute?
A. 12 meters per minute
B. 20 meters per minute
C. 120 meters per minute
D. 200 meters per minute
Answer:
B.
Step-by-step explanation:
1000 meters in a kilometer and 60 minutes in a hour. 1000/60= 16.6666
(rounds to 20)
Final answer:
Charles' running speed of 12 kilometers per hour is equivalent to 200 meters per minute when converted, which corresponds to option D.
Explanation:
Charles runs at a rate of 12 kilometers per hour, and the question asks us to convert this speed to meters per minute. First, we need to convert kilometers to meters. One kilometer is equivalent to 1,000 meters.
So, Charles' speed in meters per hour is:
12 km/hr × 1,000 m/km = 12,000 m/hr
To convert this speed from meters per hour to meters per minute, we divide by 60 minutes, since there are 60 minutes in one hour:
12,000 m/hr ÷ 60 min/hr = 200 m/min
Therefore, Charles' speed is 200 meters per minute, which corresponds to option D.
Write a function rule for the area of a rectangle whose length is 7 ft more than its width. What is the area of the rectangle when it’s width is 8ft?
Answer:
[tex]A = w^2 + 7w[/tex] is the rule for the area of a rectangle.
A = 120 sq ft, when it’s width is 8 ft.
Step-by-step explanation:
Here, let us assume the width of the rectangle = w
So, the length here = Width + 7 ft = (w + 7) ft
Now, AREA of a RECTANGLE = Length x Width
Substituting here the values of length and width, we get:
A = (w) x (w + 7) [tex]= w^2 + 7 w[/tex]
[tex]\implies A = w^2 + 7w[/tex]
The above function is the rule for the area of a rectangle.
Given: w = 8 ft
To find the area: put w = 8 in [tex]A = w^2 + 7w[/tex]
We get: A = 8² + 7(8)
= 64 + 56 = 120
or, A = 120 sq ft.
Hence, area = 120 sq ft, when it’s width is 8 ft.
STAAR Category 3
Grade 8 Mathematics
TEKS 8.100
5. Two picture frames are similar. The dimensions of the smaller frame are 4 inches by 9 inches. The
larger frame has dimensions 12 inches by x inches.
4 inches
12 inches
9 inches
x inches
What is the perimeter of the larger frame?
A 30 inches
B 42 inches
C 78 inches
D 96 inches
Answer:
i think that it's c
Step-by-step explanation:
Let p: x=4 let q:y=-2
Question:
Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”? p ∨ q p ∧ q p → q p ↔ q
Answer:
Option c: p → q
Explanation:
Option a: p ∨ q
p ∨ q means that either p is true or q is true or both are true.
Hence, Option a is not the correct answer.
Option b: p ∧ q
p ∧ q means that both p and q are true.
Hence, Option b is not the correct answer.
Option c: p → q
p → q means that if p is true, then q is also true.
Hence, Option c is the correct answer.
Option d: p ↔ q
p ↔ q means that if p is true, then q is true. If q is true, then p is true.
Hence, Option d is not the correct answer.
Thus, p → q is the correct option.
Find the geometric mean of 4 and 12
Answer:
[tex]\large\boxed{4\sqrt3}[/tex]
Step-by-step explanation:
[tex]\text{A geometric mean of}\ a\ \text{and}\ b:\\\\\sqrt{ab}\\\\\text{We have}\ a=4,\ b=12.\\\\\text{Substitute:}\\\\\sqrt{4\cdot12}=\sqrt{48}=\sqrt{16\cdot3}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{16}\cdot\sqrt3=4\sqrt3[/tex]
I need help. The answer I have is also the wrong answer.
Answer:
Option D: The area will be multiplied by 16.
Step-by-step explanation:
Given that the area of the figure is 13 sq. in.
Let is say the figure is of dimensions: a & b.
Therefore, a.b = 13 sq. in
When each of the dimension is multiplied by 4, the dimensions would become 4a and 4b.
Therefore, the area would be: 4a . 4b = 16 a . b = 16(13) sq. in.
Hence, the area is multiplied by 16.
Dominic collected data on the favorite sports of the
grades. The table shows the relative frequencies of rows for the data collected:
Favorite Sport
Swimming Running Volleyb
Grade 8 0.24 0.17
Grade 9 0.18
Column totals 0.42
ON
Based on the data, which statement is most
O in Grade 8, 14 students liked swimmin
O In Grade 8, 17% of students liked running
O in Grade 9, 31% of students liked volleyball
O in Grade 9, 22 students liked volleyball
Answer:
In Grade 8, 17% of students liked running
Step-by-step explanation:
Although this table is incomplete, there are still enough information to answer.
First, we need to be aware that the data here is written in decimal numbers, which is another way to write percentages.
In other words, 100% equals to 1, which is to say that if we multiply decimal number with 100 we'll get the percentage:
0.39 = 39%
0.04 = 4%
Another important thing to establish is that the value of decimal number DOES NOT mean the number of people, it only suggests the ratio:
0.26 does not mean 26 people etc.
Knowing this, from this incomplete table, we see that 0.17 students from grade 8 liked running. And now we know that 0.17 equals to 17%, which makes B the correct answer.
Answer:
B. In Grade 8, 17% of students liked running
Step-by-step explanation:
Angela puts $520 in an account that earns 6% per year. What interest will she get at the end of 1 year?
Answer:
$31.20
Step-by-step explanation:
Angela will get an amount of $31.2 as the interest at the end of 1 year.
What is Simple Interest?Simple interest is defined as the interest obtained over the principal amount on a certain rate.
Given that Angela puts $520 in an account that earns 6% per year.
Principal or initial amount = $520
Rate of interest = 6% = 6 / 100 = 0.06
We have to calculate the amount of interest.
Interest amount = $520 × 0.06
= $31.2
Hence the amount of interest that Angela get at the end of the year is $31.2.
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What is the answer 4a+5=2+3.25a
Answer: a= -4
Step-by-step explanation:
Final answer:
To solve the equation 4a+5=2+3.25a, isolate the variable 'a' on one side of the equation. The solution is a = -4.
Explanation:
To solve the equation 4a+5=2+3.25a, we need to isolate the variable 'a' on one side of the equation.
Step 1: Subtract 3.25a from both sides of the equation:
4a - 3.25a + 5 = 2
0.75a + 5 = 2
Step 2: Subtract 5 from both sides of the equation:
0.75a = 2 - 5
0.75a = -3
Step 3: Divide both sides by 0.75 to solve for 'a':
a = -3/0.75
a = -4
Therefore, the solution for the equation 4a+5=2+3.25a is a = -4.
A parachutist's speed during a free fall reaches 75 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 20 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet.a parachutist speed during a freefall reaches 75 meters per second
The speed in feet per second is 247.5
The parachutist will fall 4950 feet during 20 seconds.
Step-by-step explanation:
Given,
Speed during free fall = 75 meters per second
It is given that,
1 meter = 3.3 feet
75 meter = 75*3.3 = 247.5 feet
Therefore;
Speed during free fall in feet = 247.5 feet per second
Now,
1 second = 247.5 feet
20 seconds = 247.5*20 = 4950 feet
Fall during 20 seconds = 4950 feet
The parachutist will fall 4950 feet during 20 seconds.
Keywords: multiplication
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The parachutist's speed in freefall, converted to feet per second, is 247.5 feet per second. In 20 seconds of free-fall, the parachutist would fall a total of 4950 feet.
Explanation:The parachutist's speed in free-fall is given as 75 meters per second. We know that 1 meter is equivalent to approximately 3.3 feet. So, to convert the speed from meters per second to feet per second, we multiply the speed in meters per second by 3.3. This gives us a speed of 75 * 3.3 = 247.5 feet per second.
Then, to find out how many feet the parachutist will fall during 20 seconds of free fall, we multiply the speed in feet per second by the time in seconds, which results in 247.5 * 20 = 4950 feet.
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A bakery sells 268 pies and cookies in 7 days. The bakery sells 13 pieces of pies each day. How many cookies are sold per day
Answer:
25
Step-by-step explanation:
13x7=91
268-91=177
177÷7=25
The bakery sells approximately 25 cookies per day.
To find how many cookies are sold per day, we first need to determine the total number of pies sold in 7 days.
Each day, the bakery sells 13 pies.Therefore, in 7 days, the total number of pies sold is 13 pies/day × 7 days = 91 pies.Total sales (pies + cookies) for 7 days is given as 268.
So, the number of cookies sold in 7 days is 268 total pieces - 91 pies = 177 cookies.To find the number of cookies sold per day, divide the total number of cookies by 7 days: 177 cookies / 7 days ≈ 25.3 cookies/day.Thus, the bakery sells approximately 25 cookies per day.
Evaluate the following expressions. Write your awnserers as integers or reduced fractions. (5r)^3 for r = -2
Answer:
-1000
Step-by-step explanation:
(5r)^3 for r = -2
(5 x +2)^3 =
(-10)^3 =
-1000
Adult tickets to a carnival are $8 and child tickets are $4. Total of $50 tickets were sold and $248 was collected. How many adult tickets were sold?
Answer:
The number of adult ticket sold is [tex]12[/tex]
The number of child ticket sold is [tex]38[/tex]
Step-by-step explanation:
Given cost of adult tickets are $[tex]8[/tex], and cost of child tickets are $[tex]4[/tex]
Let the number of adult ticket sold is [tex]x[/tex]
Also, the number of child ticket sold is [tex]y[/tex]
We can write two equation from given information.
[tex]x+y=50\ Equation\ (1)\\8x+4y=248\ Equation(2)[/tex]
Now, plug [tex]x=50-y[/tex] in [tex]Equation(2)[/tex] we get,
[tex]8(50-y)+4y=248\\400-8y+4y=248\\-4y+400=248\\-4y=248-400\\-4y=-152\\y=\frac{-152}{-4}\\y=38[/tex]
Now, from [tex]Equation(1)[/tex]
[tex]x+y=50\\x+38=50\\x=50-38\\x=12[/tex]
So, The number of adult ticket sold is [tex]12[/tex]. And the number of child ticket sold is [tex]38[/tex]
how many solutions does 3x+-20=4(0.5x-5) have
Answer:
it has only one solution
Step-by-step explanation:
Solve 2x-3y=9 for y in terms for x
Answer:
y= -1 , -3 , -5
Step-by-step explanation:
2x-3y=9
2x-9=3y
2x-9/3=y
when x=0
y= -9/3
y= -3
when x= 3
y = 2(3)-9/3
= 6-9/3
= -3/3
y = -1
when x= -3
y = 2(-3)-9/3
y= -6-9/3
y= -15/3
y= -5
To solve the equation 2x-3y=9 for y in terms of x, firstly move the '2x' on right side of the equation to get -3y = -2x + 9. Multiply each term by -1 to get 3y = 2x - 9. And then divide each term by 3 to get y = (2/3)x - 3.
Explanation:In order to solve the equation 2x-3y=9 for y in terms of x, we first isolate y. The first step would be to move '2x' part to the right side of the equation. It becomes like this: -3y = -2x + 9 or simply, 3y = 2x - 9 where we multiplied every part of the equation by -1. Now, the next step is to get rid of '3' that is multiplying 'y'. For this, you divide entire equation by '3'. Hence, y = (2/3)x - 3. So, the equation for y in terms of x is y = (2/3)x - 3.
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