Answer:
3.8
Step-by-step explanation:
the last one is correct but shorten it to 3.8 so it doesnt look like u used a calculator
Find the height of a triangle whose base is 2 square root 2 inches and area is 8 square root 6 square inches.
Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the larger class.
To find the number of students in the larger class, set up a system of equations using the given information. Solve the system to find the value of x, which represents the number of students in the larger class. The larger class has 28 students.
To find the number of students in the larger class, we can set up a system of equations. Let's call the number of students in the larger class x, and the number of students in the smaller class y. The problem states that one class has 6 more students than the other, so we can write the equation x = y + 6.
We also know that the two classes have a total of 50 students, so x + y = 50. We can solve this system of equations to find the value of x, which represents the number of students in the larger class.
Using the second equation, we can substitute the value of x from the first equation into the second equation: (y + 6) + y = 50. Simplifying this equation, we get 2y + 6 = 50. Next, subtract 6 from both sides to isolate the variable: 2y = 44. Finally, divide both sides by 2 to solve for y: y = 22. Now, we can substitute this value of y back into the first equation to find x: x = 22 + 6 = 28. Therefore, there are 28 students in the larger class.
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What is the standard form of the number shown in this calculator display? The calculator shows three point eight two e positive seven. HURRY ANSWER IMMA FAIL!!! IMMA GIVE 30 POINTS BRUH PLZ AND IF YOU JUST ANSWER IMMA REPORT YOU!!
Answer:38200000 Is the correct answer
Step-by-step explanation:
When 100 is added to a number, the result is 60 more than 5 times the number
From a group of 7 candidates, a committee of 6 people is selected. In how many different ways can the committee be selected?
C(n,r)=C(7,6)
=7!(6!(7−6)!)Final answer:
There are 7 different ways to select a committee of 6 people from a group of 7 candidates, calculated using the combinations formula C(7, 6) = 7! / (6! * (7 - 6)!) = 7.
Explanation:
The question is asking to determine the number of different ways a committee can be selected from a group of candidates, which is a common problem in combinatorics, a branch of mathematics. To find the number of different ways a committee of 6 people can be selected from a group of 7 candidates, you can use combinations. Since the order in which the committee is chosen does not matter, you calculate combinations and not permutations. The formula for combinations is:
C(n, k) = n! / (k! * (n - k)!)
Applying the formula:
C(7, 6) = 7! / (6! * (7 - 6)!) = 7 / 1 = 7
Therefore, there are 7 different ways to select a committee of 6 people from a group of 7 candidates.
Mike deposited $6500 into two saving accounts bearing simple interest. One of the accounts has an interest rate of 3% while the other rate is 6%. If the total interest earned after one year is $225, find the amount deposited into each of the accounts.
The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used.
B = 137°, c = 9, b = 14
given that the two triangles are similar, solve x if AU=20x+108, UB= 273, BC= 703, UV= 444, AV= 372 and AC=589.
Janise Smithson invested $4,000 for one year in a CD that earns interest at a rate of 4% compounded monthly. What is the interest earned during the year?
Answer:
$162.97 is the exact answer.
Step-by-step explanation:
Suppose that it costs $12 to place a classified advertisement in the newspaper, plus $4 for each line. Then the cost to place an ad x lines long is given by y dollars, where y equals 4 x plus 12. Express as an ordered pair the fact that a 5 line ad costs $32.
Answer:
(5,32)
Step-by-step explanation:
A student earned 23 out of 30 points on a quiz. What percent of the points did the student earn?
i really don't understand this! if anyone does please help me!!! :)
Two rockets, A and B, are shot from two different launch pads. The path of rocket A can be represented by the quadratic function A(t) = −(t − 8)2 + 535, where height, A(t), is in meters, and time, t, is in seconds. The path of rocket B is shown below.
This question deals with the physics of projectile motion and rocket trajectories. By analyzing the given equations for acceleration and position over time, we can determine the units of constants and describe the motion of the rockets, emphasizing their parabolic paths.
Explanation:The question at hand involves understanding the motion of two rockets using principles of physics and applying mathematical functions to describe their trajectories. For rocket A, the given quadratic function A(t) = −(t − 8)2 + 535, describes its height as a function of time, indicating a parabolic trajectory, which is typical for projectiles under gravity's influence.
In rocket motion, the acceleration can sometimes be described by an equation of the form a(t) = A - Bt1/2. Here, A and B are constants that determine the rocket's changing acceleration over time. The units of A would be meters per second squared (m/s2), since it represents acceleration, and the units of B would have to be meters per second to the power of five halves (m/s5/2) to ensure the units of time (t) cancel out correctly. When a rocket starts from rest, its velocity changes over time, initially increasing but then possibly decreasing if the acceleration is negative due to the subtraction of the term involving Bt1/2.
If the initial position is set to zero, the rocket's position as a function of time can be found by integrating the velocity function, which is the integral of the acceleration function with respect to time. This integration process accounts for the initial conditions and gives a complete description of the rocket's motion.
In the context of projectile motion, the trajectory is indeed parabolic, represented by the equation y = ax + bx2. To prove this, we use the kinematic equations that separately describe the horizontal and vertical motions (x = Voxt for horizontal and y = Voyt - (1/2)gt2 for vertical motion) and eliminate the time variable to find y as a function of x.
In a shelter, the number of kennels is proportional to the number of dogs. The constant of proportionality in terms of dogs per kennel is 3, and there are 27 dogs in the shelter. How many kennels are there?
Answer: There are 9 kennels containing 3 dogs per kennel.
Step-by-step explanation:
27 divided by 3 = 9
Rewrite the expression with parentheses to equal the given value of 5+3×2-6 with the value of 10
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 5+3×2-6 can be rewritten with parenthesis to equal it with 10 is (5+3)×2-6.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression 5+3×2-6 can be rewritten with parenthesis to equal it with 10 is,
(5+3) × 2 - 6
= 8 × 2 - 6
= 16 - 6
= 10
Hence, The given expression 5+3×2-6 can be rewritten with parenthesis to equal it with 10 is (5+3)×2-6.
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Which situation is most likely to show a constant rate of change? A. The number of people on a city bus compared with the time of day B. The number of slices in a pizza compared with the time it takes to deliver it C. The shoe size of a young girl compared with her age in years D. The amount spent on grapes compared with the weight of the purchase
write a description of the rule (x,y) (x-2,y-7)
The mathematical rule (x,y) to (x-2, y-7) signifies a transformation in the coordinate plane shifting points 2 units to the left and 7 units down. To apply this rule to any point, subtract 2 from the x-coordinate and 7 from the y-coordinate.
Explanation:The rule (x,y) to (x-2,y-7) in Mathematics signifies a specific transformation in a coordinate plane. This is essentially a rule used in graph transformations to shift a point in the coordinate plane. In this specific rule, every point (x, y) is shifted 2 units to the left and 7 units down to get the new point (x-2, y-7). For example, if we take a point, (5,10), applying this rule means we subtract 2 from the x-coordinate and 7 from the y-coordinate resulting in a new point (3,3). Therefore, simplifying this process, to apply the rule (x,y) to (x-2,y-7) to any point, all you need to do is subtract 2 from the x-coordinate and 7 from the y-coordinate of the point.
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what are all the exact solutions of 2sec^2x-tan^4x=-1 ?
Answer:
A
Step-by-step explanation:
on Edge
To find the exact solutions of the given equation 2sec^2x-tan^4x=-1, we can simplify the equation using trigonometric identities and solve for tanx. The solutions are x = pi/3 + n*pi for tanx = sqrt(3), and x = -pi/4 + n*pi for tanx = -1.
Explanation:The given equation is 2sec^2x-tan^4x=-1. To solve this equation, we need to simplify the trigonometric terms using known identities. The identity sec^2x = 1 + tan^2x can be used here. Substituting this identity into the equation gives us 2(1 + tan^2x) - tan^4x = -1. Simplifying further, we have 2 + 2tan^2x - tan^4x = -1. Rearranging the terms, we get tan^4x - 2tan^2x - 3 = 0.
Now, let's substitute tan^2x with u, giving us the equation u^2 - 2u - 3 = 0. This is a quadratic equation that can be factored as (u - 3)(u + 1) = 0. Solving for u, we have u = 3 or u = -1. Substituting back tan^2x for u, we get tan^2x = 3 or tan^2x = -1. Taking the square root of both sides, we have tanx = sqrt(3) or tanx = -1.
Finally, to find the exact solutions of x, we need to consider the periodic nature of trigonometric functions. Since tanx repeats every pi radians, the solutions are x = pi/3 + n*pi, where n is an integer, for tanx = sqrt(3), and x = -pi/4 + n*pi, for tanx = -1.
The oven tray is 600mm by 500mm. A cake tin is 25cm in diameter. How many cake tins can jenny fit on the oven tray at one time?
NEED HELP FAST!
4.
(08.02 LC)
Four equations are graphed on the coordinate grid:
Which set of equations has (–3, 0) as its solution? (1 point)
A and B
B and D
B and C
A and D
Find the value of (3 + 4)2.
Answer:
The value of given expression is 49.
Step-by-step explanation:
The given expression is
[tex](3+4)^2[/tex]
On solving the parenthesis, we get
[tex](3+4)^2=7^2[/tex]
It can written as
[tex](3+4)^2=7\times 7[/tex]
On multiplication, we get
[tex](3+4)^2=49[/tex]
The simplified value of given expression is 49.
Therefore the required value is 49.
Solve y over negative 6 + 5 = 9. 24 −24 78 −78
[tex] \dfrac{y}{-6}+5=9\ \ \ \ |-5\\\\\dfrac{y}{-6}=4\ \ \ \ |\cdot(-6)\\\\y=-24 [/tex]
A ball is thrown vertically upward from the top of a 100-foot tower, with an initial velocity of 20 ft/sec. Its position function is s(t) = –16t2 + 20t + 100. What is its velocity in ft/sec when t = 1 second? (This is Calculus, involving limits, please help and explain, because I mostly just need to know how to do this. :) )
Final answer:
The velocity of the ball at t = 1 second is found by taking the derivative of the position function s(t) and evaluating it at t = 1. The derived velocity function is v(t) = -32t + 20, and the velocity at t = 1 second is 8 ft/sec.
Explanation:
The student wants to find the velocity of a ball at t = 1 second when thrown vertically upward from the top of a 100-foot tower with an initial velocity of 20 ft/sec. The position function given is [tex]s(t) = -16t^2 + 20t + 100[/tex]. To find velocity, we need to take the derivative of the position function with respect to time, which represents the velocity function v(t).
The derivative of the position function is:
v(t) = −32t + 20.
To find the velocity at t = 1 second, substitute 1 for t:
v(1) = −32×1 + 20 = −12 + 20 = 8 ft/sec.
Therefore, the velocity of the ball at t = 1 second is 8 ft/sec.
what must be subtracted from 4x4 - 2x3 - 6x2 + x - 5 so that the answer is exactly divisible by x + x - 2
To solve this problem, what we have to do is to divide the whole equation 4 x^4 – 2 x^3 – 6 x^2 + x – 5 with the equation 2 x^2 + x – 1. Whatever remainder we get must be the value that we have to subtract from the main equation 4 x^4 – 2 x^3 – 6 x^2 + x – 5 for it to be exactly divisible by 2 x^2 + x – 1.
By using any method, I used long division we get a remainder of -6.
Therefore we have to subtract -6 from the main equation which results in:
4 x^4 – 2 x^3 – 6 x^2 + x – 5 – (-6) = 4 x^4 – 2 x^3 – 6 x^2 + x + 1
Mara ran 3km north and then 4km east. She will finish her run by running directly home. What was the total distance of her run?
Answer:
its option C
Step-by-step explanation:
Find the area of the circle with the given radius or diameter. Use = 3.14.
r = 4
A =
50.24 sq. units
100.48 sq. units
25.12 sq. units
Answer:
50.24 square units
Step-by-step explanation:
Hope this helps.
Please help, an explanation would be really helpful too
Jared wants a quick trip by bus or train to New York. The bus’s average speed is shown in the graph. The train’s average speed is shown in the table. Which form of transportation travels a greater distance per hour?
Answer:
The bus travels 15 miles more per hour than the train.
TTM ;)
Bus covers greater distance per hour as a form of transportation.
What is the general equation of a Straight line?The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
We have Jared wants a quick trip by bus or train to New York. The bus’s average speed is shown in the graph. The train’s average speed is shown in the table.
Distance covered per hour by the train = m[T] = (135 - 90)/(3 - 2) = 45 miles/hour.
Distance covered per hour by the bus = m[B] = (300 - 0)/(5 - 0) = 300/5 = 60 miles/hour
Therefore, Bus covers greater distance per hour as a form of transportation.
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What is the mean of 82 64 73 91 85
There are 11 apples in a basket. 3 of these apples are green. The rest of them are red. (a) What is the ratio of red apples to all apples in the basket? (b) What is the ratio of red apples to green apples?
Answer:
a) 8 : 11
b) 8:3
Step-by-step explanation:
Given: The total number of apples in the basket = 11
The number of green apples = 3
Then , the number of red apples = [tex]11-3=8[/tex]
a) The ratio of red apples to all apples in the basket will be :-
[tex]\dfrac{\text{Number of red apples}}{\text{Total apples}}=\dfrac{8}{11}=8 : 11[/tex]
b) The ratio of red apples to green apples will be :-
[tex]\dfrac{\text{Number of red apples}}{\text{Number of green apples}}=\dfrac{8}{3}=8 : 3[/tex]