Answer:
42 feet.
Step-by-step explanation:
h=-10t² + 40t +2
The vertex of the quadratic function described by the equation is located at
t = -(40)/(2(-10)) = 2
Next is to find the value of height at t=2 will be
h = -10(2²) +40(2) +2 = -40 +80 +2 = 42feet
The maximum height is 42 feet.
Find an equation that meets the conditions p varies inversely as d, and p= 7 when d = 2.
Answer: 3.5
Step-by-step explanation:
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how can you add 8 to get the number 1000
Answer:
8+92=100
Step-by-step explanation:
You can get that by subtracting 8 from 100 :)
Answer:
if the number ur adding it to is 991 and u add 8 you will get 1,000
Step-by-step explanation:
Which point would map onto untalented after reflection across the line Y = -X
Answer:
(4, -4)
Step-by-step explanation:
Since the point (4, -4) rests on the line y=-x, it does not change positions and stays in the same spot.
Solve the question:
115/3.... The answer should be in decimals.
Answer:
38.3 recurring
Step-by-step explanation:
[tex]115 \ 3[/tex]
Please Solve Now!!! Will Give Brainliest!!!
1. secθ×sinθ 2. cscθ×cosθ
3. tanθ×cscθ 4. cotθ×secθ
5. 1-cos²θ 6. sec²θ-1
7. csc²θ-cot²θ 8. 1-sin²θ
Answer:
Step-by-step explanation:
1, sec theta * sin theta = 1/cos * sin = sin/cos =tan theta
2. cosec theta * cos theta = 1/ sin * cos = cos/sin = cot theta
3, tan theta * cosec theta =sin/cos * 1/sin = 1/cos
4, cot theta * sec theta = cos /sin * 1/cos= 1/sin
5, 1 - cos^2 theta = sin ^2 theta
6, sec^2 theta - 1 =tan ^2 theta
7 , cosec^2 theta - cot^2 theta = 1
8, 1 - sin^2 theta = cos^2
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Short Answer Questions:
1. The perimeter of a square is 18.4 m. What is its area?
Answer:
A ≈ 21.16m²
Step-by-step explanation:
Answer:
21.16 m^2
Step-by-step explanation:
If the perimeter is 18.4 m, then the length of a side is 18.4 m / 4, or 4.6 m.
Then the area of the square is (4.6 m)^2, or 21.16 m^2
Aitanacompreparaaitana compra para su fiesta de cumpleaños 5 litros de refresco y vasos de plastico de una capacidad de 250 metros cubicos ¿cuantos vasos podria servir en total?
Answer:
None
Step-by-step explanation:
In this case we must pass everything to the same unit of measure, we know that the total is 5 liters of soft drink and that each plastic cup has a capacity of 250 cubic meters.
We know that 1 liter is equivalent to 0.001 cubic meters, therefore we will pass the cubic meters of the plastic cup to liters, like this:
250 m ^ 3 * 1 L / 0.001 m ^ 3 = 250,000 L
Therefore we realize that the glass has a very large capacity, which suggests that there is an error in the statement, maybe it is not a cubic meter but a cubic centimeter, but as it is, it cannot serve any plastic cup because the capacity of this cup is very large with respect to the total amount of soft drink.
un granjero debe entregar 900 pacas de trigo. en uno de los camiones puede llevar 150 pacas y el otro 120. despues de dos viajes el camion de mayor capacidad se descompone, asi que para terminar el trabajo solo cuenta con el de menor capacidad ¿cuantos viajes hara hara con ese camion para cumplir con el pedido?
If 3m+2n=16 and m−2n=0, then what is the value of m?
Answer:
m= 4
Step-by-step explanation:
3m +2n= 16 -----(1)
m -2n= 0 -----(2)
From (2):
m= 2n -----(3) (+2n on both sides)
subst. (3) into (1):
3(2n) +2n= 16
6n +2n= 16
8n= 16 (simplify)
n= 16 ÷8
n= 2
subst. n=2 into (3):
m= 2(2)
m= 4
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!
Answer:
[tex]2a^2\sqrt{35a}[/tex]
Step-by-step explanation:
[tex]\sqrt{2a} .\sqrt{14a^3} .\sqrt{5a} \\=\sqrt{2a\times 14a^3\times 5a}\\=\sqrt{140a^5}\\=2a^2\sqrt{35a}\\[/tex]
Name the set(s) of numbers to which -2/5 belongs.
Answer:
1. integers
2. rational no.
What is the measure of angle Y, in degrees?
Answer:
The answer would be 116
Step-by-step explanation:
The angles X and Z would be equal at 32 so multiply them by 2 and you would get 64 subtract 64 from 180 and you would get 116
Answer:
Y =116
Step-by-step explanation:
We know that angle Z = angle X since they are base angles and the sides are the same length
The sum of the angles of a triangle are 180
X+Y+Z = 180
32+ Y + 32 = 180
64+Y=180
Y = 180-64
Y =116
Find the surface area of the following cylinders. Round to the nearest hundredth.
Answer:
surface area of cylinder= 2πrh + 2πr²
2×22/7×1×8+2×22/7×1×1
352. + 44
7. 7
= 50.3 + 6.25
= 56.55cm²
Calculate the rate of change for the quadratic function over the given interval: f\left( x \right) = {x^2} + 4x + 5;\; - 1 \le x \le 2f(x)=x 2 +4x+5;−1≤x≤2 1 5 2 -4
Answer: The rate of change is 5.
Step-by-step explanation:
Our equation is:
f(x) = x^2 + 4x + 5
And we want to find the rate of change in the range −1≤ x ≤2
when we want to find the rate between x1 ≤ x ≤ x2
we have:
Rate = (f(x2) - f(x1))/(x2 - x1)
So we have:
Rate = ( f(2) - f(-1))/(2 - 1)
Rate = (2^2 + 4*2 + 5 - (-1)^2 - 4*(-1) - 5)/3 = 15/3 = 5
The rate of change is 5.
An airplane travels 150 miles horizontally during a decrease of 35,000 feet vertically.
1. What is the angle of descent?
2. How long is the plane's path?
*teacher hint* remember to convert feet to miles or miles to feet or your answer will not make sense
The airplane's path is an illustration of right-triangles
The angle of descent is 2.5 degreesThe plane's path is 150.15 milesThe angle of descentRepresent the angle of descent with [tex]\theta[/tex]
The angle of descent, [tex]\theta[/tex] is then calculated using the following tangent identity
[tex]\tan(\theta) = \frac{35000\ feet}{150 \ miles}[/tex]
Convert feet to miles
[tex]\tan(\theta) = \frac{6.6287879\ miles }{150 \ miles}[/tex]
Divide
[tex]\tan(\theta) = 0.0442[/tex]
Take the arc tan of both sides
[tex]\theta = \tan^{-1}(0.0442)[/tex]
Evaluate the arc tan
[tex]\theta = 2.5[/tex]
Hence, the angle of descent is 2.5 degrees
The plane's pathRepresent the plane's path with p
The plane's path is calculated using the following Pythagoras theorem
[tex]p^2 = (150\ miles)^2 + (35000\ feet)^2[/tex]
Convert feet to miles
[tex]p^2 = (150\ miles)^2 + (6.6287879\ miles)^2[/tex]
Evaluate
[tex]p^2 = 22543.940829[/tex]
Take the square roots
[tex]p = 150.15[/tex]
Hence, the plane's path is 150.15 miles
Read more about right-triangles at:
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An angle measures 50.2° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
10
Step-by-step explanation:
Use the distance formula to find the distance between A(-3,4) and B(7, -6). Round your answer to the nearest tenth.
The answer is 10√2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
If one of the short sides of a 45-45-90 triangle equals 5, how long is the hypotenuse?
Possible Answers:
√10
5
π
√15
5√2
Answer:
hypotenuse= 2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
the triangle is equal tow side so it is two side =5 cm
then the hypotenuse by Phitagors theory the triangle hypotenuse =
[tex]\sqrt{5^{2} +5^{2} }[/tex] = 2[tex]\sqrt{5}[/tex]
What is the slope?
Write it as an integer ,improper fraction or proper fraction
Answer:
-3/2
Step-by-step explanation:
pick any 2 points on the graph. I chose (80,10) and (60, 40) because they are easy to identify.
40- 10 = 30
60-80 = -20
slope = -30/20 or -3.2
1. Line A's equation is y = -1/3x - 5. Line B is perpendicular to Line A and and goes
through the point (2, 3). Write the equation for Line B in slope-intercept form.
2. Line A's equation is y = 2/5x - 5. Line B is perpendicular to Line A and and goes
through the point (10.3). Write the equation for Line B in slope-intercept form.
Answer:
y = -1/3x - 11/3
Step-by-step explanation:
line a: y = -1/3x - 5
3 = -1/3(2) - b
3 = -2/3 - b
3 + 2/3 = b
3/1 + 2/3 = b
9/3 + 2/3 = b
11/3 = b
A company pays each of its two office employees each Friday at the rate of $120 per day for a five-day week that begins on Monday. If the monthly accounting period ends on Tuesday and the employees worked on both Monday and Tuesday, the month-end adjusting entry to record the salaries earned but unpaid is:
Answer:
Debit Salaries Expense $480 and credit Salaries Payable $480
Step-by-step explanation:
Firstly, we will need to calculate the salary expense of the company on these two employees.
Mathematically, that would be
2 employees * 2 days * 120/employee/day = 2 * 2 * 120 = $480
Thus, the month-end adjusting entry to record the salaries earned but unpaid is that salaries expense will be debited $480 and salaries payable will be credited $480
Parallel lines e and f are cut by transversal b. Horizontal and parallel lines e and f are cut by transversal b. At the intersection of lines b and e, the uppercase right angle is (2 x + 18) degrees. At the intersection of lines b and f, the top right angle is (4 x minus 14) degrees and the bottom right angle is y degrees. What is the value of y? 16 50 130 164
Answer:
Angle y measures 130 degrees
Step-by-step explanation:
Notice that the angles marked as "2x+18", and "4x-14" must be equal angles since they are generated on the same sector (top right) of the parallel lines by the transverse line "b".
Then by finding the value of "x" we can deduce the value of the actual angle these two angles measure:
[tex]2x+18=4x-14\\18+14=4x-2x\\32=2x\\x=16^o[/tex]
Now, we can find the actual value of these two angles, we use for example the first expression:
Top-right angle = [tex]2\,(16^o)+18^o=50^o[/tex]
Now, if these two angles measure [tex]50^o[/tex], then angle "y" (which is the supplementary angle (angle which added renders [tex]180^o[/tex] ) for them, must equal [tex]180^o-50^o=130^o[/tex]
Answer:
It's C. 130
Step-by-step explanation:
O just did the math and got it right on the test.
complete the synthetic division problem below -3 1 2 -2 3
Answer:
Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.
Step 1: Set up the synthetic division. ...
Step 2: Bring down the leading coefficient to the bottom row.
Step 3: Multiply c by the value just written on the bottom row. ...
Step 4: Add the column created in step 3.
Step-by-step explanation:
hope this helps you :)
Answer:
x^2-x+1
Step-by-step explanation:
Hope that helps!!!
Stunt Double A movie stunt double jumps from the top of a
building 50 feet above the ground onto a pad on the ground
below. The stunt double jumps with an initial vertical velocity
of 10 feet per second.
a. Write and graph a function that models the height h (in feet)
of the stunt double t seconds after she jumps.
b. How long does it take the stunt double to reach the ground?
Answer:
2.1 s
Step-by-step explanation:
1. Write the equation
The formula for vertical displacement is
y = h + v₀t - ½gt²
h = 50 ft
v₀ = 10 ft/s
g = 32.2 ft/s²
Insert the values
y = 50 + 10t - ½ × 32.2t²
y = 50 + 10t - 16.1t²
The graph below shows the height as a function of time.
2. Solve the equation
a = -16.1; b = 10; c = 50
[tex]\begin{array}{rcl}x & = & \dfrac{-b\pm\sqrt{b^2 - 4ac}}{2a}\\\\& = & \dfrac{-10\pm\sqrt{10^2-4(-16.1) \times 50}}{2(-16.1)}\\\\& = & \dfrac{-10\pm\sqrt{100 - (-3220)}}{-32.2}\\\\& = & \dfrac{-10\pm\sqrt{100 + 3220}}{-32.2}\\\\& = & \dfrac{-10\pm\sqrt{3300}}{-32.2}\\\\& = & \dfrac{-10\pm 57.62}{-32.2}\\\\\end{array}[/tex]
[tex]\begin{array}{rcl}x = \dfrac{-10 + 57.62}{-32.2}& \qquad & x = \dfrac{-10 -57.62}{-32.2}\\\\x = \dfrac{47.62}{-32.2}& \qquad & x = \dfrac{-67.62}{-32.2}\\\\x = -1.479& \qquad & x =\textbf{ 2.1 s}\\\\\end{array}\\\text{It takes the stunt double $\large \boxed{\textbf{2.1 s}}$ to reach the ground.}[/tex]
Can u guys help meeee?!!!!!?
Answer:
Area=57.75 m squared
Step-by-step explanation:
Area= L x W
Area= 11 x 5.25
Area=57.75 or 57 3/4
What is the mission factor of
18y^3=(G)(2y^2)
g = 9y
this is true because khan academy
The missing factor of the given equation is 9y.
What is factor of the expression?The factors of the expressions are the simplified expression which when multiplied results in the original expression.
Divide 18y³ by 2y² to determine the missing factor.
G=18y³/2y²
Express the numerator and denominator in the factored form and simplify.
G=(2·3·3·y·y·y)/(2·y·y)
G=3·3·y
G=9y
So, the missing factor of the given equation is 9y.
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What is the value of the 4 in the number 17.884?
Write your answer as a fraction.
Answer:
4/1000
Step-by-step explanation:
the value of 4 is 0.004 which in fraction form is 4/1000
please please please help
Answer:
S: 1st quadrant
K:2nd quadrant
W:3rd quadrant
C: y-axis
Step-by-step explanation:
A rectangle has a length of 9.00 inches and a width of 4.25 inches. What is the area in square inches? Round to the correct significant digits
Answer:
38.25 square inches
Step-by-step explanation:
Length = 9 inches
width = 4.5 inches
Area of Rectangle = Length × width
Area of Rectangle = 9 × 4.5 = 38.25