Answer:
12x/(4+x)
Step-by-step explanation:
The algebraic expression for 'the product of 12 and x divided by the sum of 4 and x' is written as (12 imes x) / (4 + x). This expression follows the order of operations and uses parentheses to ensure clarity.
The algebraic expression for 'the product of 12 and x divided by the sum of 4 and x' can be written as:
(12 x x) / (4 + x).
To write this expression, first, recognize the terms that signify mathematical operations. 'Product' signifies multiplication and a 'sum' signifies addition. The given statement involves both these operations, with 12 being multiplied by the variable x and then divided by the sum of 4 and x.
Using parentheses clarifies that the division applies to the entire sum of 4 and x, rather than just 4 or x. Without parentheses, it may lead to confusion about the order of operations. To represent division, we use the '/' symbol.
The correct algebraic expression (12 imes x) / (4 + x) follows the order of operations and ensures accurate representation of the mathematical relationship described in the problem.
Anyone can help out with the answer??
Answer:
i can
Step-by-step explanation:
Answer:
the third choice
Step-by-step explanation:
the slope is -3 and b is +2.
A circular sidewalk with a radius of 100 meters is having a railing installed
along 120° of its arc. How many meters of railing will be needed? (HINT: arc
length).
A. 100pi/3 m
B. 200pi/3 m
C. 10pi/3 m
D. 2pi/3 m
Answer:
B
Step-by-step explanation:
Whole circle is 360 degrees.
The railing is 120 degrees.
That is:
120/360 = 1/3 rd of the whole length of the circle (perimeter).
We will find perimeter of the circle (a.k.a. Circumference) and then multiply it by (1/3) to get meters of railing needed.
First, circumference:
[tex]C=2\pi r\\C=2 \pi (100)\\C=200\pi\\C=628.32[/tex]
The railing is (1/3)rd of it, so:
[tex]\frac{1}{3}*628.32=209.44[/tex]
The railing is 209.44 meters.
The answer choices are in pi, so it will be:
[tex]\frac{1}{3}*200\pi=\frac{200\pi}{3}[/tex] meters
Answer choice B is right
What is the base area of a cylinder with a volume of 150 cubic cm and a height of 10 cm?
Answer:
15
Step-by-step explanation:
volume is base X Height
V= BXH
150= BX 10
divide 10 on both sides
15= B
Given the expression 2x^2 + 3x + c, what value could be filled in for c to create an equivalent expression that is factorable using integers?
Answer:
[tex]c = 1[/tex]
Step-by-step explanation:
The given expresion is
[tex]2 {x}^{2} + 3x + c[/tex]
For this expression to be factorable using integers, we must find factors of 2c, that will sum up to 3.
We know 2,c are factors of 2c
Their sum should be 3.
[tex]c + 2 = 3[/tex]
This implies that:
[tex]c = 3 - 2 \\ c = 1[/tex]
Which equation is the inverse of Y equals 2X squared -8
Answer:f−1(x)=√2(x+8)2,−√2(x+8)2
Step-by-step explanation:
Interchange the variables. Solve for y. Solve for y and replace with f^-1(×). Replace the y with f^-1 (x) to show the answer.
Find the area of a circle that has a diameter of 18 inches. 1,017.36 in.2 254.34 in.2 113.04 in.2 56.52 in.2
Answer:
254.34
Step-by-step explanation:
Answer:
254.34
Step-by-step explanation:
Brainliest pls
Cynthia is finding the measures of the labeled angles in this image.
What is the least number of angle measures she needs to know
asures of all labeled angles in the image?
She only needs to know the measure of one angle, angle D.
She only needs to know the measure of one angle, angle
She only needs to know the measures of two angles, angles A and B.
She only needs to know the measures of two anales, but one of the angles must be one of the remote interior
Answer:
d
Step-by-step explanation:
just did the test
Select the correct answer.
Solve for p.
2p - 29 over 4 = 4
what is the answer?
PLATO
=(2p - 29)/4= 4
=2p - 29 = 16
=2p = 16+29
=2p = 45
=p= 45/2
= p=22.5
Hope this will help u mate :)
Answer:
p=22.5
Step-by-step explanation:
A traingle has a perimeter of 22 centimeters with a side of 7 centimeters with a side that is 7 centimeters long. the lengths of the remaining 2 sides have a ratio of 2:3. what is the length in centimeters, of the shortest side of the triangle?
Answer:
25.13 in^2.
Step-by-step explanation:
I will assume a circular pizza with 8 pie shaped pieces.
Each of the 8 sectors is one piece of pizza. So find the area of the the circle, radius = 16/2 = 8, that is π * 8^2 and divide by 8 getting 8π for the area of each slice. Note: 8π ≈ 8 * 3.1416 ≈ 25.13 in^2.
Answer:
25.13in^2
Step-by-step explanation:
On Friday, a bowling alley made $842.72 from lane rentals and $412.38 from the concession stand. On Saturday, their lane rentals were down by but the concessions increased by . What is the total amount that the bowling alley earned in lane rentals and concessions on Friday and Saturday?
Answer:
A. 1355.95
Step-by-step explanation:
The correct answer is $1,355.95!!
Thanks
Mark Brainliest!!!!!
TODUIL.
3. For what value of x is the equation
4 = 12x - 2 true?
©
2
2
06
4. Indicate which values from the set
1 2 3 4 5 61 are solutions of
Final answer:
To solve the equation 4 = 12x - 2, we need to find the value of x. The value that satisfies the equation is x = 1/2.
Explanation:
To find the value of x that makes the equation 4 = 12x - 2 true, we need to solve for x.
12x - 2 = 4
12x = 6
x = 6/12
x = 1/2
So, the value of x that satisfies the equation is x = 1/2.
w(t) = -2t+1, find w(-7)
Answer:
15
Step-by-step explanation:
w(t) = -2t+1,
Let x =-7
w(-7)= -2(-7) +1
=14+1
=15
if you flip a coin 6 times , about how many times would you expect to flip heads or tails?
HI HELP ASAP PLEASE EXPLAIN HOW TO DO STUFF LIKE THIS PLEASE HELP
Given:
∠A = 66°
AB = 5 mi
To find:
The distance from point B to point C.
Solution:
Using trigonometric ratio formula:
[tex]$\tan \theta=\frac{\text { Opposite side of } \theta}{\text { Adjacent side of } \theta}[/tex]
[tex]$\tan A =\frac{\text { Opposite side of } A }{\text { Adjacent side of } A}[/tex]
[tex]$\tan 66^\circ =\frac{BC}{AB}[/tex]
[tex]$2.25 =\frac{BC}{5}[/tex]
Multiply by 5 on both sides.
[tex]$5\times 2.25 =5\times \frac{BC}{5}[/tex]
[tex]$11.2 = BC[/tex] (nearest tenth)
The distance from point B to point C is 11.2 mi.
im to stupit plss help
Answer:
give him brainliest plz
Step-by-step explanation:
What is 3x-4. I need to find the value of x.
Answer:
Well the answer could be [tex]\frac{4}{3}[/tex] I neeed branliest plez
Step-by-step explanation:
3x -4 =0
3x = 4
3x / 3 = 4/3
x =[tex]\frac{4}{3}[/tex]
hope this helps
Need help!! Show work if possible and no rounded decimals!
Answer:
the max area is 10 sq. feet
Step-by-step explanation:
Answer:
Q9. a) f(x)= -2x²+40x
b) maximum area= 200 ft²
dimensions= 10ft × 20ft
Q10. 210 bracelets, $3150
Step-by-step explanation:
Please see the attached pictures for the full solution.
For Q9(a), the function is found by multiplying the length and breadth of the garden to find the area.
what is 8 to the power of 3
Answer:
512
Step-by-step explanation:
8×8×8
=512
8³=512
Therefore 8 to the power of 3 is 512
Answer: 512
Step-by-step explanation: 8 to the power of 3 means the same as 8³.
The smaller 3 which is called the exponent tells us that we need to multiply the 8 three times. So we have 8 · 8 · 8 which simplifies to 512.
So 8³ is equal to 512.
URGENT
What is the probability?
Answer:
Probability = the number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail).
Step-by-step explanation:
f(x)=x^2+10 What is the average rate of change of F over the interval [-2,-1]
Answer: -3
Step-by-step explanation: plug -2 into f(x)=x^2+10 and you get 14, then plug the -1 into that same equation and end up with 11, now you subtract the 11 from the 14 and get 3 but since you subtracted or in other words the number decreased it would be -3
The average rate of change of f(x) over the interval [-2,-1] is 3.
Explanation:To find the average rate of change of f(x) over the interval [-2,-1], we need to calculate the difference in the function values at the endpoints and divide it by the difference in the x-values. Let's substitute the endpoints into the function:
f(-2) = (-2)² + 10 = 4 + 10 = 14
f(-1) = (-1)² + 10 = 1 + 10 = 11
The difference in function values is 14 - 11 = 3, and the difference in x-values is -1 - (-2) = -1 + 2 = 1. Therefore, the average rate of change is 3/1 = 3.
Solve the system of equations. y= x+ 2
y= x^2+ 5x + 6
A. (0, 2) and (2, 4)
B. (0, 2)
C. (-2,0)
D. (-2,0) and (-3,0)
Answer:
x = -2
Step-by-step explanation:
Which description matches the function represented by the values in this
table?
1
2
3
972
324
108
36
12
O A. exponential decay
O B. exponential growth
O
C. linear growth
O
D. linear decay
Answer:
Exponential Decay
Step-by-step explanation:
The description that matches the function represented by the values is A. exponential decay.
What is exponential growth or decay function?Consider the function: [tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, so there is exponential growth happening by r fraction or 100r %
If there is negative sign, so there is exponential decay happening by r fraction or 100r %
The given function is
[tex]y = a(1\pm r)^m\\972 = 1(1\pm r)^m[/tex]
The table shows the exponential decay function.
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can someone help me ASAP!!
similarities and differences between sine and cosine graphs — Algebra 2
The similarities between sine and cosine graphs are their amplitude and periodicity, while the differences are their starting positions and phase. Overall, the graphs are more similar than different.
Similarities:
The sine and cosine functions have the same amplitude, which is the maximum value of the wave.
Both functions are periodic, meaning they repeat their pattern infinitely.
Differences:
The sine function starts with an amplitude of zero, while the cosine function starts with an amplitude of one.
The sine and cosine functions are out of phase by 90 degrees, meaning they reach their maximum and minimum values at different times.
Overall, the graphs of the sine and cosine functions are more similar than different because they share the same amplitude and shape, but they differ in their starting positions and phase.
Complete Question:
Write the similarities and differences between sine and cosine graphs.
Squaring a number and adding one will always produce an even number.
Answer:
False. Squaring any rational, whole number, will always give you a even number. So if you add one to the number, you will get a odd number.
The statement is false.
What is square?When an integer is multiplied by itself, the resultant number is known as its square number. Basically, a square number is a number that is obtained by the product of two same numbers. In geometry, the area of a square with 'n' as the side length (where n is an integer) is the finest example of a square number.
When an integer is multiplied by the same integer, the resultant number is known as a square number.
examples of square numbers.
-8 × -8 = 6412 × 12 = 144-2 × -2 = 434 × 34 =1156let the number be x.
Squaring a number = x²
adding 1 = x² + 1
let take the number 2
=2² + 1 = 4+ 1 = 5
if we take 3
=3² + 1 = 9+1= 10
so, if the number if odd then the answer will be even otherwise odd.
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What is the probability of rolling either a sum of 2 or a sum of 10 using two number cubes
As a homeowner, what will you most likely need to insure?
A. Contents of the building
B. The building itself
C. Both contents and the building
D. None of the above
Answer:
B
Step-by-step explanation:
You want to make sure the building is insured so that if there is a disaster, you can get your money back. You also want to insure your most valuable contents, too, but you probably already have them insured.
As a homeowner, you will most likely need to insure both the contents of the building and the building itself.
What is a homeowner?A homeowner is a person who owns a home, which is a residential dwelling that is typically occupied by the owner and their family. Homeownership usually involves buying a property, such as a house or a condominium, and taking responsibility for its maintenance, upkeep, and any associated expenses, such as property taxes, insurance, and repairs.
We have,
As a homeowner, you will most likely need to insure both the contents of the building and the building itself.
Homeowner's insurance typically covers both the structure of the home (i.e., the building itself) and the personal property (i.e., the contents) inside the home against damage or loss due to various perils, such as fire, theft, vandalism, and natural disasters.
The coverage for the building itself typically includes the physical structure of the home, as well as any attached structures, such as garages or porches.
The coverage for personal property typically includes furniture, electronics, appliances, clothing, and other personal belongings.
It's important to note that the specific coverage and limits of a homeowner's insurance policy can vary depending on the policy and the insurance provider.
Thus,
As a homeowner, you will most likely need to insure both the contents of the building and the building itself.
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What is the measure of Angle c? 3 lines intersect to form 6 angles. Clockwise, from top left, the angles are: C, 48 degrees, 42 degrees, 90 degrees, 48 degrees, 42 degrees. 42° 48° 90° 180°
Answer:
90 so c
Step-by-step explanation:
The measure of Angle c when 3 lines intersect to form 6 angles is 90 degrees.
What is the sum of all the exterior angles of a regular polygon?For a regular polygon of any number of sides, the sum of its exterior angle is 360° (full angle).
Exterior angle is an measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacent side which is not extended.Consider that it be having 'n' sides, all the exterior angles are of same measure, and therefore, their measure is (360/n)°.
We are given that;
The 3 lines intersect and form 6 angles.
Now,
To find angle c, we need to use the fact that the angles around a point add up to 360 degrees. The six angles formed by the three intersecting lines include all the angles around a point, so we have to set up another equation;
Angle c + 48 degrees + 42 degrees + 90 degrees + 48 degrees + 42 degrees = 360 degrees
Simplifying and solving for angle c, we get:
Angle c = 360 degrees - 270 degrees
Angle c = 90 degrees
Therefore, by interior and exterior angles the measure of angle c is 90 degrees.
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A farmer has a square lot that is 200 feet on each side. She has a very powerful sprinkler that sprays water in a circle she doesn’t want to waste any water, so she’ll set her sprinkler so that it doesn’t spray any water outside of her lot. What is the largest percentage of her lot that she can water? (Answer to the nearest percent)
Answer:
78.5%
Step-by-step explanation:
Area of a 100ft radius circle = 628sqm
Area of rectangle = 800sqm
= 172sqm difference in size
if 800 sqm = 100%
Then 600 sqm = 3/4 = 75%
60sqm =3/40 = 7.5%
6sq m =3/400 =0.75%
2 sq m = 0.25%
30sqm = 1/2 of 7.5%= 3.75
3.75-0.25 = 3.50%
3.50% + 75 = 78.5%
Raquel and Van live in two different cities. As a part of a project, they each record the lowest prices for a gallon of gas at gas stations around their cities on the same day. Raquel’s data show mean = 3.42 and standard deviation = 0.07. Van’s data show mean = 3.78 and standard deviation = 0.23.
Which statement is true about their gas-price data?
A: Raquel’s data are more likely closer to $3.42 than Van’s data are to $3.78.
B: Van’s data are more likely closer to $3.42 than Raquel’s are to $3.78.
C: Raquel’s data are more likely closer to $3.78 than Van’s data are to $3.42.
D: Van’s data are more likely closer to $3.78 than Raquel’s are to $3.42.
Answer:
A: Raquel’s data are more likely closer to $3.42 than Van’s data are to $3.78
Step-by-step explanation:
Given that Raquel’s standard deviation is less than Van's standard deviation, then Raquel’s data are more likely closer to Raquel’s mean than Van’s data are to Van's mean.
Answer:
A
Step-by-step explanation:
Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.