If an object is dropped from a height of 178 feet, the function h(t)=-16t^2+178 gives the height of the object after t seconds. When will the object hit the ground?
A. 6.67s
B. 3.34s
C. 13.34s
D. 1.67 s

Answer:

8.12

Step-by-step explanation:

Answer:

it should be C if not I'm so so sry

Answer:

radius =1.1618m

Step-by-step explanation:

circumference of circle =7.3m

2πr=7.3

r=7.3/(2π)=1.1618m

Answer:

3. 108.982 feet per second

so yes faster than 100 feet per second

4.

5. 46.336°

6. 31.999°

7. 73.301°

8. 18.435°

Step-by-step explanation:

3. tan(16)= 250/x

x=250/tan(16)

x= 871.853611

speed=871.853611/8

= 108.982 feet per second

so yes faster than 100 feet per second

4. I do not understand the formulation of the question

5. sinx= 3.4/4.7

asin*(to the power of -1)*(3.4/4.7)=x

x=46.336

6.tanx=4,532/7253

atan*(power -1)* (4,532/7253)=x

x=31.999

7.tanx=500/150

x=73.301

8. tanx=30/10

atan(30/10)=x

x=71.56505118

90-71.56505118=18.43494882(the final angle)

Answer:

Step-by-step explanation:

7(x + 4) > 0

x+4 > 0

x > -4

Answer:

x>4

Step-by-step explanation:

7(x+4)>0

distrubute

7x+28>0

subtract 28 from both sides

7x>28

divide both sides by 7

x>4

Hope that helps :)

Answer:

Line of reflection → x = 1

Step-by-step explanation:

Coordinates of B → (3, 2)

Coordinates of B' → (-1, 2)

If point B is reflected across a vertical line x = a, both the points B and B' will be equidistant from the line of reflection.

Coordinates of the midpoint of the segment joining B and B'

= [tex](\frac{x_+x_2}{2},\frac{y_1+y_2}{2})[/tex]

= [tex](\frac{3-1}{2},\frac{2+2}{2})[/tex]

= (1, 2)

Line of reflection will pass through this midpoint (1, 2)

Therefore, equation of the line of reflection will be,

x = 1

Answer:  -7j+3

Step-by-step explanation:Simplify

Answer:

dV ≈ 927.4 cm³

Step-by-step explanation:

Formula for volume of a cylinder is;

V = πr²h

Using differentials, we have;

dV = (dV/dr)dr + (dV/dh)dh

Now, dV/dr = 2πrh

dV/dh = πr²

Thus, at r = 24/2 = 12 cm

And at h = 60 cm, we have;

dV/dr = 2π(12 × 60)

dV/dr = 4523.89 cm²

Also;

dV/dh = π(12)²

dV/dh = 452.39 cm²

the metal in the top and bottom is 0.1 cm thick. Thus, dr = 2 × 0.1 = 0.2

the metal in the sides is 0.05 cm thick. Thus; dh = 0.05

Thus;

dV = (4523.89 × 0.2) + (452.39 × 0.05)

dV ≈ 927.4 cm³

Answer:

Step-by-step explanation:

Answer:

The correct answer is B. $6.50 per pound.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the summary output :

_______ Coeff___ StdError__ t-stat

Intercept 1283.000_ 352.000 _ 3.65

X1 _____ 25.228 ____8.631

X2 _____0.861 _____0.372

General form of a multiple regression model:

Y = B1X1+B2X2 +E

The fitted regression equation is :

y = 25.228X1 + 0.861X2 + 1283

Intercept and slope corresponding to the standard error :

Intercept = 352

Slope 1 = 8.61 ; slope 2 = 0.372

'B' coefficient represents the change in the mean response, Y, per unit increase in a version predictor variable when all the other predictors are held constant.

B1 represents the change in the mean response, U, per unit increase in x1 when x2, x3, ..., xk are held constant

B2 represents the change in the mean response, U, per unit increase in x2 when x1, x3, ..., xk are held constant

Answer:

2(4x+2+6x)=44

10x+2=22

10x=20

x=2

area= 10*12=120sq feet

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

We need to find the value of x.

We know that the sum of angles of a triangle is equal to 180°. So, using this property,

2x+1+3x-1+90 = 180

2x+3x = 180-90

5x = 90

x = 18

So, the value of x is equal to 18.

Answer:

x=13

Step-by-step explanation:

Since both angles are vertical angles and are therefore congruent, the expression is equal to 114.

7x+23=114

Subtract 23 from both sides.

7x=91

Divide both sides by 7.

x=13

Answer:

582/800 * 581/799

brr i do NOT want to calculate that

Answer:

I think it is the vertical line test. If you have any other questions let me know! :)

Answer:

To convert a ratio into the form of a percentage

Answer:

Answer:

20,90 for the first one

50% for second one

Answer:

$3.583

Step-by-step explanation:

Given the monthly stock prices :

January = $3.50

February = $2.25

March = $5.00

The average monthly change in price of XYZ stock from. JANUARY through MARCH is;

(January + February + March) / 3

Average monthly change :

(3.50 + 2.25 + 5.00) / 3

$10.75 / 3

= $3.583

Answer:

Answer in explanation

Step-by-step explanation:

Volume of cylinder =

[tex]\pi {r}^{2} h \\ = (3.14)(4) {}^{2}(8) \\ = 401.92units {}^{3} \: or \: 128\pi \: units^{3} [/tex]

Answer:

Step-by-step explanation:

Radius r = 4

Height h = 8

Volume = πr²h = 128π units³

Answer:

5 X 4

Step-by-step explanation:

If you plot the dots, youll obviously see a rectangle. The height of the rect. is 4, while the length is 5, so the measurements would be 5 x 4.

Hope this helped!!

Answer:

107 %

3 %

100 /8

Step-by-step explanation:

The exact quotient is 876.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

21,900 / 25

Now,

Using long division,

25 ) 21,900 ( 876

      200

         190

         175

           150

            150

              0

We see that,

The quotient is 876.

Thus,

The exact quotient is 876.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Exact Answers:

Approximate Answers:

======================================

Explanation:

Your diagram is 100% correct. Nice work.

To get the area of the trapezoid, we could use the area of a trapezoid formula below:

A = h*(b1+b2)/2

In this case, we have,

the bases are parallel to each other. The height is always perpendicular to the base. We won't use the "14" at all.

So,

A = h*(b1+b2)/2

A = 7*sqrt(3)*(18+25)/2

A = 7*sqrt(3)*21.5

A = (7*21.5)*sqrt(3)

A = 150.5*sqrt(3)

This is the exact area.

The approximate area is roughly

150.5*sqrt(3) = 260.673646539

The units for the area are in square km, or km^2. Though your teacher said for you not to include the units.

Another way to get the area of the trapezoid is to break the diagram into a rectangle and triangle as you have done so, and then find the area of each sub-piece. Adding the two smaller areas should lead to the result shown above.

-----------------------------------

To get the perimeter, we add up all of the exterior sides. We do not include the right-most vertical line that is 7*sqrt(3) km long because it is inside the figure. The horizontal segment that is 7 km long is part of the "25 km" segment, so we'll ignore that 7.

Adding the four exterior sides leads to:

7*sqrt(3)+18+14+25 = 57+7*sqrt(3)

This value is exact. It approximates to

57+7*sqrt(3) = 69.12435565

The units for the perimeter are in kilometers, and you won't have any exponent over the "km". While your teacher doesn't want the units, it's still handy to know what the units would be.

Step-by-step explanation:

solution given:

for rectangle

length [l]=18km

breadth [b]=7√3 km

for triangle

base[b1]=25-18=7km

height [h]=b=7√3km

for area :area of. (rectangle +triangle}=

l×b+1/2 b1×h=18×7√3+1/2 ×7×7√3=260.67km²

now

perimeter=sum of all sides

=18+14+25+7√3=69.12km

is your answer