Can someone please solve this?
Which trinomial is a perfect square trinomial?
A) a^2 - 12a + 36
B) a^2 - 8a + 64
C) a^2 - 6a + 36
D) a^2 - 4a + 64
Answer:
d is the answer
If a cow has a mass of 9×1029×102 kilograms, and a blue whale has a mass of 1.8×1051.8×105 kilograms, which of these statements is true?
A.) The blue whale has about 200200 times more mass.
B.)The blue whale has about 500500 times more mass.
C.)The cow has about 200200 times more mass.
D.)There is no way to compare the masses.
Answer:
The blue whale has about 200 times more mass.
Three batteries are connected in series so that the total voltage is 54 volts. The first battery is twice the voltage of the second and 1/3 the voltage of the third battery. Find the actual voltage of each battery
The first battery voltage is 12.
The second battery voltage is 6.
The third battery voltage is 36.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
First battery voltage = M
Second battery voltage = N
Third battery voltage = O
Now,
We can make an expression as,
M + N + 0 = 54 _____(A)
And,
M = 2N ____(1)
M = (1/3)O ____(2)
Now,
From (1) and (2)
N = M/2
O= 3M
Substituting in (A)
M + N + O = 54
M + M/2 + 3M = 54
4M + M/2 = 54
8M + M = 108
9M = 108
M = 12
Now,
N = M/2 = 12/2 = 6
O= 3M = 3 x 12 = 36
Thus,
First battery voltage = 12
Second battery voltage = 6
Third battery voltage = 36
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A map scale has a scale of 1 inch equals 35 miles what is the actual distance if the distance on the map is 3.5 in
The RideEm Bicycles factory can produce 160 bicycles in a day at a total cost of $10,100. It can produce 180 bicycles in a day at a total cost of $11,000. What are the company's daily fixed costs
Answer:
$2,900
Step-by-step explanation:
The additional 180 - 160 = 20 bicycles cost an additional $11,000 - 10,100 = $900. That means the 180 bicycles cost 9·$900 = $8100, and the fixed costs are $11,000 - 8,100 = $2,900.
_____
Each group of 20 bikes costs $900, so 9 groups of 20 (180 bikes) cost 9×$900 = $8100.
To find the daily fixed costs of RideEm Bicycles factory, subtract the variable cost from the total cost.
Explanation:To find the daily fixed costs of RideEm Bicycles factory, we need to determine the fixed cost component of the total cost. We can do this by subtracting the variable cost from the total cost. The formula for calculating fixed cost is:
Fixed Cost = Total Cost - (Variable Cost per Unit x Number of Units)
Using the given information:
By plugging in the values and solving the equations, we can find the daily fixed costs of the company.
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There are five different colored cards in a hat (red, blue, green, yellow, and black). A card is randomly drawn and not replaced. Then a second card is drawn. What is the probability that the first card will be red and the second card will be blue?
The probability of drawing a red card first followed by a blue card from a hat with five different colored cards without replacement is 0.05 or 5%.
The question asks for the probability of drawing a red card first and a blue card second from a hat containing five different colored cards without replacement. To calculate this, we use the formula for conditional probability and the multiplication rule for independent events. Since the cards are drawn without replacement, the events are dependent.
The probability of drawing the red card first is 1/5, since there is one red card out of five. After drawing the red card, there are four cards left. The probability of drawing the blue card second is thus 1/4, as there is only one blue card left among the four remaining cards. The probability of both events occurring in sequence is the product of the probabilities of each event:
P(Red first and Blue second) = P(Red first) × P(Blue second | Red first) = (1/5) × (1/4) = 1/20 or 0.05.
Therefore, the probability that the first card is red and the second card is blue is 0.05 or 5%.
Sonya can walk 6 km in 3 hours. If she has to walk 10 km, how much time will it take her?
The number of chicken legs depends on how many chickens are in the coop. This is modeled by y=2x and is an example of _____ variation.
Answer:
y=2x is an example of direct variation.
Step-by-step explanation:
Direct variation is mathematical relationship in between two variables which can be expressed by an equation where one variable is equal to a constant multiplied by the other variable.
In the equation y=2x, x and y are the variables and 2 is a constant.
Here it is expressed as an equation where the variable y is equal to the constant 2 multiplied by the other variable x.
Thus we can say that it is an example of direct variation.
Which input value produces the same output value for the two functions on the graph?
x = −3
x = −2
x = −1
x = 3
x = -2
Explanation:The line represents the output value (y) for a given input value (x). Where the lines cross, the output values are equal. These lines cross at x=-2.
Answer:x=-2
Step-by-step explanation:
got it right on edg
19 is 6% of what number?
The answer is 316 2/3
(but idk how they got it)
- please list the steps
The function f(x) = 1/5 is translated up 4 units. Which equation represents the translated function?
The equation that represents the translated function for
[tex]\rm f(x) = \dfrac{1}{5}[/tex] [tex]\rm is\;\; \rm \bold{g(x) = f(x) +4 = 4.2}[/tex].
Given that the function f(x) = 1/5 is translated up 4 units.
We have to determine the equation that represents the translated function
The function f(x) = 1/5 as the function is translated.
Translation is a concept of mathematics . In translation the shape of the object is simply moved linearly from one point to other point by adding some constant values in the previous coordinates. In translation , there is no dilation shape and size of the object remains the same.
Let us consider that if the function is translated up with 4 units then the new function is [tex]\rm\bold{ g(x)}[/tex]
So according to the language of question we
[tex]\rm g(x) = f(x) +4[/tex]
[tex]\rm g(x) = \dfrac{1}{5} +4 = \dfrac{21}{5} = 4.5[/tex]
[tex]\rm g(x) = 4.5[/tex]
The equation that represents the translated function for
[tex]\rm f(x) = \dfrac{1}{5}[/tex] [tex]\rm is\;\; g(x) = f(x) +4 = 4.2[/tex]
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find the x-intercepts of the parabola with vertex (2,13) and y intercept (0,5)
round to the nearest hundredth
i have no idea how to do this problem please help!
Answer:
What is the vertex of the parabola?
Round to the nearest hundredth.
✔ (8.33, 236.67)
Step-by-step explanation:
If f(x) = x^2 - 4x + 1, find the range of f(x).
{y: y ≥ -3}
{y: y ≥ 13}
all reals
The range of the given function, f(x) = x^2 - 4x + 1, is {y: y ≥ -3}. This is determined by completing the square to find the vertex form of the parabola, which indicates that the minimum y-value is -3 (the y-coordinate of the vertex) and the function values extend to infinity.
Explanation:The question asks us to find the range of the function f(x) = x^2 - 4x + 1. In mathematics, the range of a function is the set of output values (the y-values) that the function produces when we substitute the domain (the x-values) into the function.
To determine the range of a quadratic function like this, we could complete the square for the function and adjust it to the vertex form of a parabola, which is f(x) = a(x - h)^2 + k, where k is the minimum or maximum y-value of the parabola.
For the function f(x) = x^2 - 4x + 1, the completed square form is f(x) = (x - 2)^2 - 3. So, the vertex of the parabola is (2, -3), and since the coefficient of (x - 2)^2 is positive, the parabola opens upwards. This means that the minimum y-value is -3 and the maximum y-value is infinity. So the range of the function is {y: y ≥ -3}.
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I don't understand what the question is asking?
The figure has ____ lines of symmetry. A. 0 B. 4 C. 6 D. 8
Answer:
B. 4
Step-by-step explanation:
Vertical and horizontal lines through the vertices farthest from center are two of the lines of symmetry.
The other two lines of symmetry are the diagonal lines through the vertices closest to center.
There are a total of 4 lines of symmetry.
Answer:
4
Step-by-step explanation:
hope it helps
How tall is a building that casts a 73 foot shadow when the angle of elevation of the sun is 29
The height of the building is approximately 40.39 feet.
Explanation:To find the height of the building, we can use the concept of similar triangles. The height of the building is proportional to the length of its shadow. We can set up a proportion using the angle of elevation of the sun and the length of the shadow.
Let x be the height of the building. The proportion can be set up as:
(x / 73) = tan(29°)
Using a calculator, we can find the value of tan(29°) to be approximately 0.5543. Solving for x, we get:
x = (73 * 0.5543)
Therefore, the height of the building is approximately 40.39 feet.
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find the present value that will grow to $7000 if the annual interest rate is 3.5% compounded quarterly for 9 uears
The present value that will grow to $7,000 if the annual interest rate is 3.5% compounded quarterly for 9 years is $5,187.72
The Breakdown
To find the present value (PV) that will grow to $7,000 if the annual interest rate is 3.5% compounded quarterly for 9 years, you can use the formula for compound interest:
PV = FV / (1 + (r / n))^(n*t
Where:
PV = Present Value
FV = Future Value ($7,000 in this case)
r = Annual interest rate (as a decimal, so 3.5% is 0.035)
n = Number of times the interest is compounded per year (quarterly, so 4 times)
t = Number of years (9 years in this case)
PV = 7000 / (1 + (0.035 / 4))^(4 * 9)
PV = 7000 / (1 + 0.00875)^(36)
PV = 7000 / (1.00875)^36
Now, calculate (1.00875)^36:
(1.00875)^36 ≈ 1.34985880768
Now, divide $7,000 by this value to find the present value:
PV ≈ 7000 / 1.34985880768 ≈ $5,187.72
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ella wants to estimate the product (3.6)(7.8). which expression shows each factor rounded to the nearest whole number
The expression that shows each factor rounded to the nearest whole number is 32.
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded off like trimmed from the right in terms of exact digits.
Given that Ella wants to estimate the product (3.6)(7.8).
3.6 rounded to give 4
7.8 rounded to give 8
Therefore, the product would be;
4 x 8 = 32
Hence, the expression that shows each factor rounded to the nearest whole number is 32.
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Final answer:
To estimate the product of 3.6 and 7.8 by rounding to the nearest whole number, round 3.6 down to 3 and 7.8 up to 8, making the estimated expression (3)(8).
Explanation:
The student has asked how to estimate the product of 3.6 and 7.8 by rounding each factor to the nearest whole number.
To do this, we look at each factor and determine which whole number it is closest to. For 3.6, we round down to 3 because it is closer to 3 than to 4. For 7.8, we round up to 8 because it is closer to 8 than to 7. Hence, the expression that represents the product of each factor rounded to the nearest whole number is (3)(8).
Tomas's grandfather is 100 years old.Tomas's grandfather is 10 times as old as Tomas.How old is Tomas? Can someonegive me the answer to this plz
3(b-4)+5b=44
what number is b.
1. The function f(x) = –0.05(x2 – 26x – 120) represents the path coming out of the cannon. If x is the horizontal distance from the cannon, what does f(x) represent? (1 point)
2. What do the zeros of this function represent? Remember the zeros are where f(x) = 0. (1 point)
3. Will the zeros tell you where the net should be placed? Why or why not? (1 point)
4. To find the zeros, set the function equal to 0, and then factor the polynomial. Start by setting the function equal to 0. (1 point)
Factor the polynomial.
The polynomial (x2 – 26x – 120) is in the form x2 + bx + c which can be factored as (x + p)(x + q) .
5. Next factor the polynomial x2 – 26x – 120. To identify the factors, complete the table: Note: This table does not contain all the factors of –120, but it has enough to let you factor the polynomial. (2 points: 0.5 points for each row)
p q p + q
10 –12
–10 12
30 –4
4 –30
6. Which values of p and q give the correct factors? (1 point)
7. Factor the polynomial completely: (2 points: 1 point for each factor)
0 = –0.05(x2 – 26x – 120)
8. Find the roots of the equation by setting each factor equal to 0 and solving for x.
Hint: There are three factors, but the constant factor, –0.05, does not equal zero. Solve for x with the other two factors. (2 points: 1 point for each factor)
9. Identify the roots. (2 points: 1 point for each root)
10. What are the zeros of this function? Circle them on the graph. (1 point)
11. Are these zeros the same as the roots you found? (1 point)
12. What does a negative zero mean in terms of this problem? (1 point)
13. Following this trajectory, will Nik hit a net that is 30 feet from the cannon? How do you know? (1 point)
The motion of the projectile (cannonball), given by the (quadratic)
polynomial function is the path of a parabola.
Response:
Vertical heightThe point the projectile is at ground levelYes, because is it where the projectile will landx² - 26·x - 120 = 0(x - 30)·(x + 4) = x² - 26·x - 120 p = -30, and q = 4-0.05·(x² - 26·x - 120) = -0.05·(x - 30)·(x + 4) x - 30 = 0 and x + 4 = 0 Which gives; x = 30 or x = -4x = 30 or x = -4The zeros of the function are x = 30, and x = -4YesThe negative zero (x = -4) means that the ground level is a point before the location at which the cannonball is launched (x = 0). It also means that the cannonball was launched above ground level.Yes, because the projectile hits the ground 30 feet from the cannonWhich methods can be used to evaluate the polynomial?1. f(x) is the output of the projectile function, where;
x = The input which is the distance
Therefore;
f(x) = The vertical distance (height) of the cannonball at point x.2. The zeros are the points where the height, f(x) = 0
Therefore;
The zeros represent the points at which the cannonball is at ground level3. The net should be placed where the cannonball is expected to reach ground level.
Therefore;
The zeros indicates where the net should be placed4. The given polynomial can be equated to 0 as follows;
x² - 26·x - 120 = 0
5. x² - 26·x - 120 = x² - 30·x + 4·x- 120
Which gives;
x·(x - 30) + 4·(x- 30) = (x - 30)·(x + 4)
(x - 30)·(x + 4) = x² - 26·x - 1206. Where; (x + p)·(x + q) = a·x² + b·x + c
We have;
The values of p and q that give the correct factors are;
p = -30, and q = 47. The polynomial, -0.05·(x² - 26·x - 120) = 0 in factored form is therefore;
-0.05·(x² - 26·x - 120) = -0.05·(x - 30)·(x + 4)8. From the factors, we have;
-0.05·(x² - 26·x - 120) = -0.05·(x - 30)·(x + 4)
The roots of the equations, are given as follows;
x - 30 = 0 and x + 4 = 0
Which gives;
x = 30 or x = -49. The roots of the equation are therefore;
x = 30, and x = -410. The zeros for the function, are the values of x at which f(x) = 0
At x = 30 f(30) = -0.05 × (30² - 26 × 30 - 120) = 0
At x = -4, f(-4) = -0.05 × ((-4)² - 26 × (-4) - 120) = 0
The zeros of the function are x = 30, and x = -411. Yes. The zeros are the same as the roots found given that at the roots, f(x) = 0
12. The zeros of the function are x = 30 and x = -4, which are points at
which the projectile (cannonball) is at ground level. The negative zero, x
= -4, means that, apart from the point x = 30, the projectile can (also/only)
be at ground level at a point before the location where the projectile is
launched, (-4) which means that at the point at which the cannonball is
launched, which is at x = 0, the cannonball was not on the ground, but
at the lip of the barrel or at a more elevated position.
What the negative zero means are therefore;
It is a location before the point where the cannonball is launchedThe cannonball is launched from a height above ground level13. At 30 feet, x = 30, which is a zero of the function, and the cannonball
is at ground level, such that a net placed at 30 feet from the cannon
will be hit by the cannonball.
Therefore;
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Assume that the risk-free rate is 8 percent the required rate of return on the market is 13 percent and the required rate of return on acme healthcare stock is 15 percent what is the implied beta coefficient
Express the perimeter of the triangle as a polynomial.
A) 9x -8
B) 9x + 8
C) 8x - 6
D) -9x - 6
Reflecting the graph of y = sin x across the y-axis is the same as reflecting it across the x-axis. Is this statement true or false?
Answer:
The statement is true.
Step-by-step explanation:
Given : Reflecting the graph of y = sin x across the y-axis is the same as reflecting it across the x-axis.
To find : Is this statement true or false?
Solution:
Rules of reflection :
Along across y-axis if we have a point [tex](x,y)\rightarrow(-x,y)[/tex]
So, y=sinx
The reflection across y-axis→ [tex]y=sin(-x) \Rightarrow y = -sinx[/tex].......[1]
Along across x-axis if we have a point [tex](x,y)\rightarrow(x,-y)[/tex]
so, y=sinx
The reflection across x-axis → [tex]-y=sinx\Rightarrow y= -sinx[/tex] .....[2]
Hence, [1] and [2] both of them are equal
Therefore, the statement is true.
In this assignment we will work on the creation of a poker game. at a minimum your game must deal 2 hands of cards, and print out what poker hand each has. it must also determine which hand has won the game – but breaking a tie will be for bonus points. for example, if both hands have 3 of a kind, that can be considered a tie. if you want the bonus points write some code that determines which 3 of a kind is higher. here is the output from dealing a hand of cards: ace of hearts ten of clubs ace of clubs eight of hearts seven of diamonds 2 2 1 0 <> 0 0 0 0 0 1 1 0 1 0 0 0 2 you have a pair!
We deal from a well-shuffled 52-card deck. calculate the probability that the 13th card is the first king to be dealt.
Final answer:
The probability that the 13th card is the first king to be dealt is 1/52.
Explanation:
To calculate the probability that the 13th card is the first king to be dealt from a well-shuffled 52-card deck, we need to consider the number of favorable outcomes and the total number of possible outcomes. There are 4 kings in the deck, so the probability of the first king being the 13th card is 1/52.
Final answer:
The probability that the 13th card is the first king to be dealt in a shuffled 52-card deck is 1/13.
Explanation:
In a well-shuffled 52-card deck, the probability that the 13th card is the first king to be dealt can be calculated as follows:
First, let's determine the number of favorable outcomes. Since there are 4 kings in the deck, there are 4 possible kings that can be the first king dealt.
Next, let's determine the number of possible outcomes. Since there are 52 cards in the deck, there are 52 possible cards to be the 13th card dealt.
Therefore, the probability is calculated as:
Probability = Number of favorable outcomes / Number of possible outcomes
Probability = 4 / 52
Probability = 1 / 13
So, the probability that the 13th card is the first king to be dealt is 1/13.
Sin theta = -5/13 and cos theta = -12/13 use ratio identity to find cot theta
which situation could be modeled by using a linear function
If a company has 5 employees with annual salaries of $30,000, $50,000, $30,000, $80,000, and $70,000, respectively, what is the mean annual salary at the company?
Answer:
Annual mean salary at the company is $52,000
Step-by-step explanation:
Given : If a company has 5 employees with annual salaries of $30,000, $50,000, $30,000, $80,000, and $70,000, respectively.
We have to determine the mean annual salary at the company.
Consider the given salaries of 5 employee of the company
$30,000, $50,000, $30,000, $80,000, and $70,000
The annual mean salary at the company is the sum of salary of the employees divided by the number of employees.
Annual mean salary =[tex]\dfrac{30,000+50,000+30,000+70,000+80,000}{5}=\frac{2,60,000}{5}[/tex]
Thus, Annual mean salary at the company is $52,000