Todd can use the polynomial function [tex]9x^2 - 1[/tex] to calculate his average profit based on the amount of raw materials his furniture company currently has.
Explanation:The question is asking for a polynomial function that Todd can use to calculate the average profit based on the amount of raw materials the company currently has. To find this, Todd will need to multiply the profit from each piece of furniture (3x + 1) with the amount of furniture he can produce (3x - 1). Thus, the polynomial function will be [tex](3x + 1)(3x - 1)[/tex]. After simplifying we get [tex]9x^2 - 1.[/tex] So this is the polynomial function that Todd can use to predict his average profit.
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John bought 15 cookies and ate 3 of them. What percentage did he eat?
How do you solve for m using the equation 5.01cm^3=m/1.2cm^3
To solve for 'm' in the equation 5.01cm^3 = m/1.2cm^3, multiply both sides of the equation by 1.2cm^3. This yields the solution m approx = 6.012cm^6.
Explanation:To solve the equation 5.01cm^3 = m/1.2cm^3 for m, you should first isolate m by multiplying both sides of the equation by 1.2cm^3. So, it becomes 5.01cm^3 * 1.2cm^3 = m. By conducting this multiplication, you get approximately 6.012 cm^6 = m. So, the solution to the equation is m approx = 6.012cm^6
To solve for m in the equation 5.01 cm3 = m / 1.2 cm3, we need to isolate the variable m. To do this, we can multiply both sides of the equation by 1.2 cm3. This cancels out the units of cm3 on the right side, leaving us with 5.01 cm3 * 1.2 cm3 = m.
Next, we can perform the multiplication to find the value of m. 5.01 cm3 * 1.2 cm3 = 6.012 cm3. Therefore, m = 6.012 cm3.
So, the solution to the equation is m = 6.012 cm3.
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Angle∠efg and angle∠gfh are a linear pair, mangle∠efgequals=55nplus+2020, and mangle∠gfhequals=33nplus+1616. what are mangle∠efg and mangle∠gfh?
Answer:
its A on edge
Step-by-step explanation:
If y varies directly as x, and the constant of variation is -3, which equation represents this relationship?
Final answer:
The equation representing a direct variation where y varies directly as x with a constant of variation of -3 is y = -3x. It is a linear equation without a y-intercept.
Explanation:
If y varies directly as x, and the constant of variation is -3, the equation that represents this relationship can be written as y = kx, where k is the constant of variation. Since the constant of variation is given as -3, the equation becomes y = -3x. This is a linear equation similar to the form y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, since the constant of variation is -3, the slope of the line is -3 and the y-intercept is 0 because there is no addition or subtraction of a constant in the equation.
A theater sells children's tickets for half the adult ticket price. if 5 adult tickets and 8 children's tickets cost a total of $27, what is the cost of an adult ticket?
To find the cost of an adult ticket, we can set up an equation using the given information and then solve for the variable.
Explanation:To solve this problem, let's start by defining some variables. Let the cost of an adult ticket be x dollars. Since children's tickets are sold for half the price of adult tickets, the cost of a children's ticket is (1/2)x dollars.
Given that 5 adult tickets and 8 children's tickets cost a total of $27, we can set up the following equation to represent the total cost:
5x + 8(1/2)x = 27
To solve for x, we can simplify the equation:
5x + 4x = 27
9x = 27
Dividing both sides by 9, we find that x = 3.
Therefore, the cost of an adult ticket is $3.
When Cullen cleaned behind his dresser, he found 73 cents, all in nickels and pennies. There were 25 coins. How many were nickels?
Don't give me the answer, just explain how I can solve it, please:
SOLVE: 13 - 3x = 4 (x - 2)
Answer:
that is the explanation elect me for brainiest pls.
Step-by-step explanation:
I hope this helps(:
Name four angles between 0 and 360 degrees with a reference angle of 20 degrees Show work
Answer with explanation:
Reference Angle =20°
Angle Lies in First Quadrant.
⇒≡Reference Angle of 20°, which should lie between 0° and 360° can be evaluated by using the formula=360°n+20°, for n=0,1,2,3,4,....
So,First Reference angle of 20°=20°
Second reference angle of 20°=360°× 1+20°=380°
Third Reference angle of 20°=360°× 2+20°
=720°+20°
=740°
Fourth Reference angle of 20°=360°×3+20°
=1080°+20°
=1100°
To solve X/0.4 = 10, you would: Add 0.4 Subtract 0.4 Multiply 0.4 Divide by 0.4
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
X/0.4= 10
We need to find the value of x .
For this, we will multiply by 0.4 on both sides, we get that
X= 0.4 × 10
X = 4
Hence, third option is correct.
An investment is currently worth 2.125×104 dollars . Ten years ago, the investment was worth 1.25×103 dollars. How many times greater is the value of the investment today than the value of the investment ten years ago? A 0.17 B 1.7 C 17 D 170
Answer: C. 17
Step-by-step explanation:
Given : An investment is currently worth [tex]2.125\times10^4[/tex] dollars . Ten years ago, the investment was worth [tex]1.25\times10^3[/tex] dollars.
Then, the number of times the value of the investment today is greater than the value of the investment ten years ago is given by :-
[tex]\dfrac{\text{Current investment}}{\text{\text{Yen years ago investment}}}\\\\=\dfrac{2.125\times10^4}{1.25\times10^3}\\\\=\dfrac{2.125}{1.25}\times10^{4-3}\ \ [\because a^m\times a^n=a^{m+n}]\\\\=1.7\times10=17[/tex]
Hence, the value of the investment today is 17 times greater than the value of the investment ten years ago .
1. Write numbers from standard form to Scientific notation for the following: The diameter of human DNA is about 0.000000002
2. Idaho is shaped like a triangle with a base of approximately 320 miles and a height of approximately 520 miles. Calculate the area of Idaho and write the answer in scientific notation.
What is the rate of change of the perimeter of the square at the instant the area is 49 m2?
Worth a brainliest if the answer is correct.
If the rule (x,y) → (x+3, y-3) is applied to the original triangle, give the coordinates of and draw the image. Show your work for calculating the coordinates of the resulting image.
Does this table represent a function? Why or why not? x:2, 4, 6, 8, 10 y:1, 3, 3, 4, 6 A.No, because two of the y-value are the same. B.Yes, because all of the x-value corresponds to one or more y-values C.Yes, because every x-value corresponds to exactly one y-value. D.No, because one x-value corresponds to two different y-values
Answer:
C.Yes, because every x-value corresponds to exactly one y-value.
Step-by-step explanation:
A function is a relation in which each element of the domain (x) is mapped to one element of the range (y). This means that no x can be mapped to more than one y; basically it means that no x can repeat.
In this table, no x repeats; each x is mapped to only 1 y. This means that it is a function.
Answer:
The correct option is C) Yes, because every x-value corresponds to exactly one y-value.
Step-by-step explanation:
Consider the provided table:
x y
2 1
4 3
6 3
8 4
10 6
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Or we can say that, a function is a set of ordered pairs in which x element has only one y-element associated with it.
Now observe the table for each x element we have only one y element.
Therefore, the table represent a function.
The correct option is C) Yes, because every x-value corresponds to exactly one y-value.
The number of bacteria in a culture is increasing according to the law of exponential growth. after 2 hours, there are 50 bacteria, and after 4 hours, there are 200 bacteria. how many bacteria will there be after 7 hours?
A florist is making blue and white flower arrangements. For the arrangements, he places a red ribbon on every 3rd arrangement and a blue ribbon on every 5th arrangement. Which arrangement will be the first to have a red ribbon and a blue ribbon?
The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.6, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.4.
a. What is the mean (±0.1) of the average number of moths x¯¯¯ (x bar) in 30 traps?
I got 18 by multiplying 30 times 0.6, I'm not confident 100% in this
b. And the standard deviation? (±0.001)
I got 0.073 by doing 0.4/ sqrt of 30...not confident
c. Use the central limit theorem to find the probability (±0.01) that the average number of moths in 30 traps is greater than 0.7:
I got 1.37 by doing 0.7-0.6 / 0.073 (0.4/sqrt of 30)
are these answers correct?
The student's calculations for mean and standard deviation are correct, although the standard deviation was slightly misunderstood. The calculation for the z-score was correct, but the student failed to convert this z-score into a probability.
Explanation:The question discusses certain calculations about the distribution of gypsy moths in traps placed by a state agriculture department. Your calculation for (a), the
mean
number of moths in 30 traps, is correct. We multiply the mean number of moths in one trap (0.6) by the number of traps (30) to obtain 18. However, for (b), the
standard deviation
of the distribution is incorrectly calculated. In fact, as we apply the formula for standard deviation of sample means σ/√n, where σ is the population standard deviation (0.4) and n is the sample size (30), it comes out to be 0.073 (rounded to ±0.001). Lastly, for (c), using the given values in the
central limit theorem
, the z-score calculator gives us a value of 1.37, but remember, this is a z-score, not a probability. To convert the z-score to a probability, you need to consult a standard normal distribution table or use a calculator with a built-in z-score to probability converter.
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A convex lens has a diameter of 30 mm and a depth of 5 mm at the center. How far from the vertex is the focus?
two segments are ______ coplanar
A.) always
B.) sometimes
C.) never
Two segments are always coplanar. The correct option is A.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
An adjacent line to another line in the same plane. Any two intersecting lines must be coplanar, that is, they must be on the same plane. Two line segments are always in the same plane.
Straight lines that are parallel and do not intersect at any point are called parallel lines. In the same three-dimensional space, parallel planes are any planes that never cross.
Therefore, the segments are always coplanar. The correct option is A.
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Which table shows the same rate of change of y with respect to x as y =4-5/8x? How would I even figure this out?
Table A
Table B
Table C
Table D
Answer:
Table B
Step-by-step explanation:
from the given equation
[tex]y=4-\dfrac{5}{8}x[/tex]
now to figure out the table which is correct we will insert values of x one by one in the given equation and will find the value of y.
Table A [tex]y=4-\dfrac{5}{8}(-3)[/tex]
[tex]y=4+\dfrac{15}{8}[/tex]
Table B [tex]y=4-\dfrac{5}{8}(-4)[/tex]
[tex]y=4+2.5[/tex] = 6.5
Table C [tex]y=4-\dfrac{5}{8}(-4)[/tex]
[tex]y=4+2.5[/tex] = 6.5
Table D [tex]y=4-\dfrac{5}{8}(-3)[/tex]
[tex]y=4+\dfrac{15}{8}[/tex]
hence the correct answer is Table B
David learned 15 definitions in 90 minutes. How much time will he take to learn 10 definitions?
Find the net force f acting on the particle.
express your answer in terms of m and
a.
If the mass is represented as m and acceleration as the net force f acting on the particle will be f =ma.
What is force?Force is defined as the product of mass and change in velocity.The objects interactions with one another are what cause push and pull. Force may also be expressed using words like stretch and squeeze.
The force is in mathematical form is,
Force = mass × acceleration
If m is the mass in kilogram and a is the acceleration in m/s² is,
F = m × a
F = (1 kg) × (1 m/s²)
F = 1 kg.m/s²
As we know, 1 kg.m/s² = 1 N
F = 1 N
The measures mentioned above are taken into account by the Newton unit (N). As a result, one newton is defined as the force needed to accelerate 1 kilogram of mass 1 meter per second squared in a certain direction. 1N = 1kg (m/s²) is the way to express force.
Thus, if the mass is represented as m, acceleration as the net force f acting on the particle will be f =ma.
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Which numbers are a distance of 2 units from 8 on a number line?
Select each correct answer.
8Answer
6 and 10
Step by step explanation
a distance of 2 units from 8 on a number line
we need to find out the numbers that are 2 units from 8 on the number line
To find out the numbers we need to subtract and add 2 from 8
[tex]8+2=10[/tex]
[tex]8-2=6[/tex]
10 is 2 units from 8 on the right side
6 is 2 units from 8 on the left side
So, 6 and 10 are 2 units away from 8 on the number line.
Graph the function. Upload a handwritten copy of your graph as your final answer.
y={ x for x<0
-x^2 for x≥0
2/3b + 5 = 20 - b
Solve for b
The solution value of b in the equation 2/3b + 5 = 20 - b is: b = 9.
Here, we have,
given that,
the equation is:
2/3b + 5 = 20 - b
so with these equations, you collect 'like terms.'
like terms are basically grouping things that are the same together,
so for example a+a-b+2b would be 2a+b.
with this equation you want to do the same.
2/3b + 5 = 20 - b
first, make all the numbers integers (whole numbers).
we want to make 2/3b a whole number,
so we multiply the whole equation by 3 to keep everything in proportion with each other,
thus ending up with
2b + 15 = 60 - 3b
now we collect 'like terms.'
add 3b to both sides gives
5b + 15 = 60
subtract 15 from both sides
5b = 45
divide by 5 to leave the value of b
b = 9
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NEED HELP PLEASE ANSWER ASAP. Two points have the same Y-coordinates but different X-coordinates. Make a prediction about the slope of a line drawn through the points. Justify your prediction.
The slope of a line drawn through the points are zero.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points have the same Y-coordinates but different X-coordinates.
Now,
Since, Two points have the same Y-coordinates but different X-coordinates.
Hence, Take two points as;
(x, y) = (3, 4) , (5, 4)
Thus, The slope of line passing through the points (3, 4) and (5, 4) is,
⇒ m = (4 - 4) / (5 - 3)
⇒ m = 0
Thus, The slope of a line drawn through the points are zero.
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Find the solution(s) to x2 – 14x + 49 = 0
Answer:
x=7
Step-by-step explanation:
[tex]x^2 - 14x + 49 = 0[/tex]
Factor the left hand side of the equation
product is 49 and sum is -14
-7 times -7 is 49
-7 plus -7 is -14
so two factors are -7 and -7
[tex]x^2 - 14x + 49 = 0[/tex]
[tex](x-7)(x-7)= 0[/tex]
Now we apply zero factor property
SEt each factor =0 and solve for x
x-7 =0 , x=7
The correct solution for the equation [tex]x^{2}- 14x+49 = 0[/tex] is [tex]x = 7[/tex].
Given equation,
[tex]x^{2}- 14x+49 = 0[/tex]
The equation is a quadratic equation. A polynomial equation of second degree is known as quadratic equation.
The standard form of a quadratic equation is:
[tex]ax^{2} + bx + c = 0[/tex]
Find the solution of given equation for x, Use the standard formula:
x = (-b ± √(b² - 4ac)) / (2a)
From the question,
a = 1, b =-4 , c = 49.
Put the value of a, b ,c in the formula to find x.
x = (-(-14) ± √((-14)² - 4(1)(49))) / 2(1)
= (14 ± √(196 - 196)) / 2
= (14 ± √(0)) / 2
= [tex]\dfrac{14}{2}[/tex]
= 7
The value of the discriminant [tex]\sqrt{b^{2} - 4ac }[/tex] is 0. this indicates that their will be only one value of x.
The equation [tex]x^{2}- 14x+49 = 0[/tex] has a single solution which is x =7.
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27 is 3 times as many as what number?
A. 9 B. 81 C. 7 D. 24
For the polynomial function yequals=f(x) below, choose the statements that most accurately describe the function.
Solve the inequality and express your answer in interval notation. x^2+8x+3<0
Answer:
-4 - √13 < x < -4 + √13
Step-by-step explanation: