Step-by-step explanation:
There are 10 possible outcomes for the digit (0-9) and 26 possible outcomes for the letter (A-Z). Since the choices are independent, the probability of selecting a 6 as the digit and a consonant as the letter is the product of the probabilities of each event occurring separately.
There are 21 consonants in the English alphabet, so the probability of selecting a consonant is 21/26. The probability of selecting a 6 is 1/10.
Therefore, the probability of selecting a 6 and a consonant is:
P(6 and consonant) = P(6) × P(consonant)
= 1/10 × 21/26
= 21/260
= 3/40
Hence, the probability that the number is 6 and the letter is a consonant is 3/40.
What is the product of7/16,4/3,1/2
[tex]\sf \dfrac{7}{24}.[/tex]
Step-by-step explanation:1. Write the initial expression.[tex]\sf \dfrac{7}{16} *\dfrac{4}{3}*\dfrac{1}{2}[/tex]
2. Rewrite the expression.When multiplying fractions, we can always just multiply all the numerators together and the denominators aswell, like this:
[tex]\sf \dfrac{7*4*1}{16*3*2}=\dfrac{28}{96}[/tex]
3. Simplify.We could divide both the numerator and denominator by 4 to fully simplify this answer:
[tex]\sf \dfrac{28/4}{96/4}=\dfrac{7}{24}[/tex]
Since the numerator (7) is a prime number, this fraction cannot be further simplified.
4. Final answer.[tex]\sf \dfrac{7}{24}.[/tex]
Based on the graph above, determine the amplitude, midline, and period of the function
Amplitude:
Period:
Midline: y
The values of midline, amplitude and period are 2, 5 and 4.
What is midline, period and amplitude?
The amplitude is the separation between the midline and either the greatest or minimum. The period is defined as the separation between the midline points before the maximum value and points after the minimum value. From one peak to the next, or from any point to the following corresponding point, is the Period The height between the center line and the peak is known as the amplitude (or to the trough).
Midline = (Highest value + Lowest value)/2
y = (7 - 3)/2
y = 4/2
y = 2
Amplitude = (Highest value - Lowest value)/2
= (7 - (-3)) / 2
= (7 + 3) /2
= 10/2
= 5
Period = difference between the two highest values
= 4.
Thus, the values of midline, amplitude and period are 2, 5 and 4.
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Two forces F₁ and F2 act on a particle P. The force F₁ is given by F₁ = (-i + 2j) N and F₂ acts in the direction of the vector (i +j). The resultant of F₁ and F2 acts in the direction of the vector (i + 3j). The acceleration of Pis (31 +9j) ms 2. At time t = 0, the velocity of Pis (3i - 22j) m s -¹. Find the speed of Pwhen t = 3 seconds.
The speed of P when t = 3 seconds is 95.00 m/s
How do we find the speed of P?We can find the speed by finding the net force acting on the particle P. Let F_net be the net force acting on P, then we have:
F_net = F₁ + F₂
where:
F₁ = (-i + 2j)N
F₂ = the direction of the vector (i + j).
Let's find the magnitude and direction of F₂. We know that F_net is in the direction of the vector (i + 3j), so we can write:
F_net = F₂ + k(i + 3j)
where:
k = some constant. Since F₂ is in the direction of (i + j), we can write:
F₂ = a(i + j)
where:
a = constant.
Substituting the into the equation for F_net:
F_net = a(i + j) + k(i + 3j)
To find the values of a and k, we use the acceleration of P which is (31 + 9j) m/s². The net force on P is:
F_net = m*a
where m = the mass of P.
Equating the two expressions for F_net:
a(i + j) + k(i + 3j) = m(31 + 9j)
Expanding both sides:
(ai + aj) + (ki + 3kj) = 31m + 9mj
Equating the coefficients of i and j, we get two equations:
a + k = 31m (1)
a + 3k = 9m (2)
Solving these equations:
a = 9m
k = 22m
Substituting these values back into the expression for F_net, we have:
F_net = 9m(i + j) + 22m(i + 3j) = 31mi + 69mj
Now, we can use the equation for acceleration to find the mass of P:
F_net = m*a
31mi + 69mj = m(31 + 9j)
m = 31 / (31 + 9j) = 31 / (31 - 9i)
Next, we shall use the initial velocity and acceleration to find the velocity of P after 3 seconds.
Let v(t) be the velocity of P at time t, then:
v(t) = v(0) + a*t
where v(0) = 3i - 22j and
a = (31 + 9j) m/s²
Substituting t = 3 seconds:
v(3) = (3i - 22j) + (31 + 9j)(3)
= 96i - 1j
Therefore, the speed of P at t = 3 seconds is the magnitude of v(3):
v(3)| = ([tex]\sqrt{96^{2} }[/tex] + (-1)²) = [tex]\sqrt9217[/tex] = 95.00 m/s
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A painting contractor determined the average amount of time needed to paint a house.
- When 2 painters are used, it takes 15 hours to paint
- When 6 painters are used, it takes 5 hours to paint.
If p represents the number of painters and h represent the number of hours required to paint the house, which statement is true about this relationship?
F. The time required to paint a house varies directly with
the number of painters because h = 30p.
G. The time required to paint a house varies directly with
the number of painters because ph = 30.
H. The time required to paint a house varies inversely
with the number of painters because h = 30p.
J. The time required to paint a house varies inversely
with the number of painters because ph = 30.
A painting contractor determined the average amount of time needed to paint a house.
- When 2 painters are used, it takes 15 hours to paint
- When 6 painters are used, it takes 5 hours to paint.
If p represents the number of painters and h represent the number of hours required to paint the house, which statement is true about this relationship?
F. The time required to paint a house varies directly with
the number of painters because h = 30p.
G. The time required to paint a house varies directly with
the number of painters because ph = 30.
H. The time required to paint a house varies inversely
with the number of painters because h = 30p.
J. The time required to paint a house varies inversely
with the number of painters because ph = 30.
Find the diameter of a circle with an area of 12.6 square inches
The diameter of the circle is 4 inches.
How to find the diameter of a circle?
The diameter of a circle is any straight line segment that passes through the centre of the circle and whose endpoints lie on the circumference of the circle.
The area of the circle is 12.6 inches square. Let's find the diameter of the circle as follows:
area of a circle = πr²
area of a circle = π(d / 2)²
where
r = radiusd = diameterTherefore,
12.6 = 3.14 × d² / 4
12.6 = 0.785d²
divide both sides by 0.785
d² = 12.6 / 0.785
d = √16.050955414
d = 4.00635744786
Therefore,
diameter = 4 inches
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Danielle wants to make a special shade of green paint. This shade of green paint requires 2 parts yellow and 3 parts blue. If Danielle uses 18 gallons of yellow paint, how many gallons of blue paint will she need?
Answer:
Danielle will need 27 gallons of blue paint.
Step-by-step explanation:
If the shade of green paint requires 2 parts yellow and 3 parts blue, that means for every 2 gallons of yellow paint, we need 3 gallons of blue paint.
So to find how many gallons of blue paint Danielle will need, we can set up a proportion:
2/3 = 18/x
where x is the number of gallons of blue paint.
To solve for x, we can cross-multiply:
2x = 54
x = 27
Therefore, Danielle will need 27 gallons of blue paint.
Answer: To make the special shade of green paint, Danielle needs 2 parts yellow and 3 parts blue. This means that for every 2 gallons of yellow paint, she needs 3 gallons of blue paint.
If Danielle uses 18 gallons of yellow paint, we can set up a proportion to find how many gallons of blue paint she needs:
2/3 = 18/x
where x is the number of gallons of blue paint she needs.
To solve for x, we can cross-multiply and simplify:
2x = 3 * 18
2x = 54
x = 27
Therefore, Danielle will need 27 gallons of blue paint to make the special shade of green paint.
Step-by-step explanation: Would really apreciate brainliest :D
Find how much money needs to be deposited now into an account to obtain $1,200 (Future Value) in 15 years if the interest rate is 7% per year compounded monthly (12 times per year).
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}[/tex]
[tex]1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P[/tex]
6.
(02.01 MC)
Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:
Pentagon ABCDE and pentagon A double prime B double prime C double prime D double prime E double prime on the coordinate plane with ordered pairs at A negative 4, 5, at B negative 6, 4, at C negative 5, 1, at D negative 2, 2, at E negative 2, 4, at A prime 4, negative 7, at B prime 2, negative 6, at C prime 3, negative 3, at D prime 6, negative 4, at E prime 6, negative 6.
Which two transformations are applied to pentagon ABCDE to create A″B″C″D″E″? (1 point)
Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x‒axis
Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the y-axis
Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis
Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the x‒axis
Required two transformations are translated according to the rule (x, y) → (x + 8, y + 2) reflected across the x-axis.
How to find the two transformations applied to pentagon ABCDE to create A″B″C″D″E″?
To find the two transformations applied to pentagon ABCDE to create A″B″C″D″E″, we can compare the coordinates of corresponding vertices of both pentagons.
Starting with point A, we see that it has been translated 8 units to the right and 2 units up to become A″. Therefore, the first transformation is a translation according to the rule (x, y) → (x + 8, y + 2).
Next, we can compare the y-coordinates of point A and A″ to see if a reflection has been applied. We see that the y-coordinate of A has changed from 5 to -7 in A″, indicating that a reflection has been applied across the x-axis.
Therefore, the two transformations applied to pentagon ABCDE to create A″B″C″D″E″ are:
Translated according to the rule (x, y) → (x + 8, y + 2)
Reflected across the x-axis.
The other options can be ruled out as they do not correctly reflect the transformation that was applied.
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cos 0 = 0.9659 A = ?
H = 20
Solve the trigonometric equation to find a particular solution: [tex]\theta=\text{arccos} \ (0.9659)[/tex] or [tex]\theta=2\pi -\text{arccos} \ (0.9659)[/tex]
Solve the trigonometric equation to find a general solution: [tex]\theta=\text{arccos} \ (0.9659)+2n\pi[/tex] or [tex]\theta=2\pi -\text{arccos} \ (0.9659)+2n\pi[/tex], [tex]n \ \in Z[/tex]
Approximate the inverse trigonometric value: [tex]\theta\thickapprox0.261899+2n\pi[/tex] or [tex]\theta\thickapprox2\pi +-0.261899+2n\pi[/tex], [tex]n \ \in Z[/tex]
Calculate: [tex]\theta\thickapprox6.021286+2n\pi[/tex], [tex]n \ \in Z[/tex]
Find the union of solution sets: [tex]\theta\thickapprox0.261899+2n\pi[/tex] or [tex]\theta\thickapprox6.021286+2n\pi[/tex], [tex]n \ \in Z,n \ \in Z[/tex]
Answer: [tex]\bold{\theta\thickapprox0.261899+2n\pi}[/tex] or [tex]\bold{\theta\thickapprox6.021286+2n\pi}[/tex]
The value of A is approximately 19.318 units.
We can now find the value of side A using the formula for a right-angled triangle:
Cos θ = A / H
where A is the length of the adjacent side, and H is the length of the hypotenuse.
Let's substitute the given values:
0.9659 = A / 20
To find the value of A, we can multiply both sides of the equation by 20:
A = 0.9659 * 20
A ≈ 19.318
So, the value of A is approximately 19.318 units.
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The equation A = 10,000(1 + 0.043t) represents the amount of money earned on a savings account with 4.3% annual simple interest. At the end of the investment period, the account balance is $15,160. How many years is the investment period?
10 years
11 years
12 years
13 years
Answer: 12 years
Step-by-step explanation:
We will substitute the given amount after the investment period and then solve for t, the number of years the period was.
Given:
A = 10,000(1 + 0.043t)
Substitue:
15,160 = 10,000(1 + 0.043t)
Distribute:
15,160 = 10,000 + 430t
Subtract 10,000 from both sides of the equation:
5,160 = 430t
Divide both sides of the equation by 430:
t = 12 years
Evaluate 5z - 3² for z = 3.
Answer: 6
Step-by-step explanation: you would substitute the Z for 3 so it would be 5(3)-3². You would then do 3²= 9 because it’s 3*3 and 5*3 is 15. So you would do 15-9 which equals 6
The nursing staff at Middletown Hospital makes sure one patient gets his medicine every 47 minutes and another patient gets his medicine every 45 minutes. Both patients just received their doses of medicine. How many minutes from now will both patients get their medicine at the same time?
The least common multiple of 47 and 45 is 2,115. Therefore, at 2,115 minutes, both patients receive their medication at the same time.
How to find minutes from now will both patients get their medicine at the same time?we need to find the least common multiple of 47 and 45, the smallest number that is divisible by both 47 and 45.
Start by listing the multiples of each number until you find a common multiple.
Multiples of 47:
47, 94, 141, 188, 235, 282, 329, 376, 423, 470, 517, 564, 611, 658, 705, 752, 799, 846, 893, 940, 987, 1034, 1081, 1128, 1175, 1222, 1269, 1316, 1363, 1410, 1457, 1551, 1598, 1645, 1692, 1739, 1786, 1833, 1880, 1927, 1974, 2021, 2068, 2115, 2162, 2206, 2206, 2309
Multiples of 45:
45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 900, 945, 990, 1035, 1080, 1125, 1170 1215 1260 1305 1350 1395 1440 1485 1530 1575 1620 1665 1710 1755 1800 1845 1890 1935 1980 2025 232070
We can see that the least common multiple of 47 and 45 is 2,115. Therefore, at 2,115 minutes, both patients will receive their medication at the same time.
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Can’t solve this question
The rate at which the depth is changing at 2 am is given as follows:
D'(2) = 0.4354 feet per hour.
How to obtain the rate of change of the depth?The equation giving the depth of the water in t hours after midnight is given as follows:
D(t) = 2cos(πt/3 + 2π/5) + 3.
The derivative of the cosine is negative sine, while the inner derivative is of π/3, hence, applying the chain rule, the derivative is given as follows:
D'(t) = -2π/3sin(πt/3 + 2π/5)
2 am is 2 hours after midnight, hence the numeric value of the derivative is given as follows:
D'(2) = -2π/3sin(2π/3 + 2π/5)
D'(2) = 0.4354 feet per hour.
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A classroom is rectangular in shape. If listed as ordered pairs, the corners of the classroom are (−12, 15), (−12, −9), (9, 15), and (9, −9). What is the perimeter of the classroom in feet?
45 feet
90 feet
252 feet
504 feet
Answer:
90 feet
Step-by-step explanation:
To find the perimeter of the classroom, we need to calculate the distance between each pair of adjacent corners and add them up.
Using the distance formula, the distance between the first two corners is:
√[(-12 - (-12))^2 + (15 - (-9))^2] = √(0^2 + 24^2) = 24 feet
The distance between the second and third corners is:
√[(-12 - 9)^2 + (-9 - 15)^2] = √(21^2 + 24^2) ≈ 31.8 feet
The distance between the third and fourth corners is:
√[(9 - 9)^2 + (15 - (-9))^2] = √(0^2 + 24^2) = 24 feet
Finally, the distance between the fourth and first corners is:
√[(9 - (-12))^2 + (-9 - 15)^2] = √(21^2 + 24^2) ≈ 31.8 feet
Therefore, the perimeter of the classroom is:
24 + 31.8 + 24 + 31.8 = 111.6 feet ≈ 112 feet (rounded to the nearest foot)
So the closest option to this answer is 90 feet.
A cup of coffee at 90 degrees celsius is put into a 20 degree celsius room at t = 0 . The coffee's temperature is changing at a rate of r ( t ) = − 7 e − 0.1 t degrees celsius per minute, with t in minutes. Estimate the coffee's temperature when t = 10 .
Answer: 58.72 degrees Celsius.
Step-by-step explanation:
We can use the following formula to estimate the temperature of the coffee when t = 10:
T(t) = T(room) + [T(initial) - T(room)] * e^(-r(t) * t)
where T(t) is the temperature of the coffee at time t, T(room) is the temperature of the room, T(initial) is the initial temperature of the coffee, and r(t) is the rate of change of the coffee's temperature.
Substituting the given values, we get:
T(10) = 20 + [90 - 20] * e^(-(-7 e^(-0.1 * 10)) * 10)
T(10) = 20 + 70 * e^(0.7)
T(10) ≈ 58.72 degrees Celsius (rounded to two decimal places)
Therefore, the estimated temperature of the coffee when t = 10 is 58.72 degrees Celsius.
5. The point (-4, a?) is on the graph of y = x². What is the value of a.
Since the point (-4, a) is on the graph of y = x², the value of a is equal to 16.
What is a quadratic function?In Mathematics and Geometry, a quadratic function can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic function is represented by the following equation;
ax² + bx + c = 0
Where:
a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.When x = -4, the value of y or a can be calculated as follows;
y = x²
y = a = (-4)²
y = a = 16.
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Set up an equation and show all work to solve. Round final answers to the nearest hundredth.
The value of x in the right triangle is 10.43 units.
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in the triangle is 180 degrees. Therefore, let's find the value of x in the right triangle.
tan 41 = opposite / adjacent
opposite side = x
adjacent side = 12
Therefore,
tan 41° = x / 12
cross multiply
x = 12 tan 41°
x = 12 × 0.86928673781
x = 10.4314408538
Therefore,
x = 10.43 units
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Two coins are flipped.
Find the probability that the first coin land on heads and the second coin lands on heads.
Answer:
50% chance for each
Step-by-step explanation:
if there are two option out of 2 then that means you have a 50 50 chance each for both
PLS GIVE BRAINLIST MEAN THE WORLD
Hypotenuse = 14.5 meters
Opposite side-6.3 meters
0= ?
Using trigonometry we know that the measure for θ is 25.747121° respectively.
What is Trigonometry?The branch of mathematics is concerned with the computation of certain angles and their functions.
There are six widely used angles-related trigonometric functions.
Their respective names and acronyms are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
So, 14.5 meters is the hypotenuse.
6.3 meters on the opposite side
Using trigonometry now:
sin θ = Opposite side / Hypotenuse
Using the provided values, we obtain:
sin θ = 6.3 / 14.5
sin θ = 63/145
sin θ = 0.4344
θ =25.747121°
Therefore, using trigonometry we know that the measure for θ is 25.747121° respectively.
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Growing linearly, the balance owed on your credit card triples from $800
to $2400
in 9
months. If the balance were growing according to the exponential function f(x)=800(1+0.13)x
where x represents the number of months, what would the balance be after 9
months? Round your answer to the nearest cent.
Should it be necessary, round your response to the nearest whole number. Your credit card debt increases by a factor of three in just nine months, going from $800 to $2400. It would take 34.9 months for the balance to increase by $7000 if it grows linearly.
What is meant by exponential function?Calculating the exponential growth or decay of a given collection of data is done mathematically using an exponential function. For instance, exponential functions can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, or disease spread. f(x) = bx, where b > 0 and b 1, is the formula for an exponential function. B is referred to as the base annexure referred to as the exponent, just like in any exponential expression. Bacterial proliferation is an illustration of an exponential function. Some bacteria grow by two folds per hour. If your function has the formula y = a b x, where and are constants, a 0 and b > 0 and b 1, then it must be exponential.To learn more about exponential function, refer to:
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NEED THIS DONE ASAP PLEASE ILL GIVE BRAINLIEST
points)
(Identifying Transformations LC)
Use the image to determine the direction and angle of rotation.
Graph of triangle ABC in quadrant 4 with point A at 1 comma negative 3. A second polygon A prime B prime C prime in quadrant 3 with point
A prime at negative 3 comma negative 1.
180° counterclockwise rotation
90° counterclockwise rotation
90° clockwise rotation
180° clockwise rotation
Answer:
90° clockwise rotation.
Step-by-step explanation:
PLS HELP!!!
solve for x:
Answer: D
Step-by-step explanation:
What is the equation of the oblique asymptote of...? Use the synthetic division setup below to help.
The equation of the oblique asymptote of g(x) = x²+x+4/x-1 is y=x+1.
What is synthetic division?Synthetic division is a shorthand method for dividing polynomials. It is similar to long division, but simplified by removing all the steps except for the division, such as a linear factor with a leading coefficient of one.
To find the equation of the oblique asymptote, we need to divide the numerator (x²+x+4) by the denominator (x-1) using synthetic division.
To do this, we must first create a synthetic division setup, as shown above. The first number in the setup is the number that is being divided by the polynomial in the denominator.
In this case, it is 1. The other numbers in the setup are the coefficients of the polynomial in the numerator.
The synthetic division setup has 1 as the number being divided and 1, 1, and 4 as the coefficients of the numerator.
After dividing, the quotient is x+1 and the remainder is 0. Since the remainder is 0, the equation of the oblique asymptote is y = x+1.
This means that the line with the equation y = x+1 is the oblique asymptote of g(x) = x²+x+4/x-1.
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Answer:
y= 1+x+2
Step-by-step explanation:
Help please asap, and show how you got answer.
The average speed at which the canoe traveled toward the lighthouse was approximately 14.1 feet per minute.
What is the speed of the canoe?We can solve this problem using trigonometry. Let's call the distance between the canoe and the lighthouse "x", and let's call the average speed of the canoe "s".
From the first measurement, we know that:
tan(6.5°) = (115 - 1.3) / x
x = (115 - 1.3) / tan(6.5°)
x ≈ 1012.6 feet
From the second measurement, we know that:
tan(48.7°) = (115 - 1.3) / (x - 5/60 * s)
x - 5/60 * s = (115 - 1.3) / tan(48.7°)
x ≈ 166.2 feet
Now we can use these two equations to solve for "s". We can start by solving the second equation for "x" and substituting the result into the first equation:
x = 5/60 * s + (115 - 1.3) / tan(48.7°)
x ≈ 5/60 * s + 80.2 feet
(115 - 1.3) / x = tan(6.5°)
x = (115 - 1.3) / tan(6.5°)
Substituting the first equation into the second equation and simplifying, we get:
5/60 * s + 80.2 = (115 - 1.3) / tan(6.5°)
s ≈ 14.1 feet per minute
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PLS SHOW YOUR WORKING OUT
1,200milimetros en kilogramos
The unit conversion of 1200 milliliters to kilograms is: 1.2 milliliters
How to carry out unit conversion?What the question tells us is to convert 1200 milliliters to kilograms.
Now, the conversion table shows us this conversion and it is simply expressed as:
1 milliliter = 0.001 kilograms.
We are given 1200 milliliters. Thus, converting to kilograms gives us:
1200milliliters * 0.001 kilograms/1 milliliter
= 1.2 milliliters
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Which has a larger y intercept
Since the y-intercept of f(x)=4(3)ˣ is (0,4) and the y-intercept for the table whose function is g(x) = 3²⁻ˣ is (0,9). See the attached graph. Hence, the function with the larger y-intercept is g(x) = 3²⁻ˣ.
What is a y-intercept?In analytic geometry, a point where the graph of a given function or relation intersects with the y-axis of its coordinate system is known as the vertical intercept.
It obeys one standard convention: That all horizontals correspond to values on x and all verticals correspond to those on y. At these points, metrics assessing intersection require that x must always equal zero.
Hence, on the basis of the points at which the curve meets the y axis in both graphs, we can correctly state that: the function with larger y-intercept is g(x) = 3²⁻ˣ.
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Profit= Revenue - Cost Find the cost if the profit desired is $24,000 and the revenue is $112,250. 24,000 = 112,250 - C
If the profit desired is $24,000 and the revenue is $112,250, then the cost is $88,250.
To find the cost, we need to use the formula:
Revenue - Cost = Profit
We can rearrange this formula to solve for the cost:
Cost = Revenue - Profit
Substituting the given values, we get:
Cost = $112250 -$ 24000
Cost = $88250
Therefore, the cost is $88250.
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What is the degree of the polynomial
-6x^4+ 3x^3- 6x^3+ 5 + 4x
Show work
Answer:
degree is 4
Step-by-step explanation:
The degree is the largest exponent on the variable, which is 4.
The function Q(t) has the domain [1,3] and range [-4,7]. Find the domain and range of the following transformations
a) y=Q(-t)
b) y=-Q(t)
c) y=-Q(-t)
The domain and range of y = Q(-t) are [-3,-1] and [-4,7], respectively.
The domain and range of y = -Q(t) are [1,3] and [-7,4], respectively.
The domain and range of y = -Q(-t) are [-3,-1] and [-4,7], respectively.
Find the domain and range of the following transformationsa) In the domain of Q(t), we must replace t with -t for the transformation y = Q(-t). The domain of y = Q(-t) will be [-3,-1] because the domain of Q(t) is [1,3]. The range of Q(t), which is [-4,7], will not change.
As a result, the domain and range of y = Q(-t) are [-3,-1] and [-4,7], respectively.
b) For the transformation y = -Q(t), we must take the negative of Q(t)'s range. Because Q(t) has a range of [-4,7], y = -Q(t) has a range of [-7,4]. The domain of Q(t), [1,3], will remain unchanged.
As a result, the domain and range of y = -Q(t) are [1,3] and [-7,4], respectively.
c) We must take the negative for the transformation y = -Q(-t). in the domain of Q(t) and replace t with -t in the range of Q(-t). Because Q(t) has the domain [1,3], Q(-t) has the domain [-3,-1]. Reflecting the range of Q(t) about the y-axis yields the range of Q(-t). As a result, the range of Q(-t) is [-7,4]. Taking the inverse of the range, we get [-4,7] for y = -Q(-t).
As a result, the domain and range of y = -Q(-t) are [-3,-1] and [-4,7], respectively.
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