4. Determine the slope of the line represented by the equation16x + 4y = 8.

Answer: 61.25m

Step-by-step explanation:

To solve this, the formula used will be:

h = -16t^2 + vt + h(o)

where,

Initial velocity, v = 60mph

Height, h = 5 feet

t = ?

After solving for t, we get t = 1.875 seconds. We then slot it back into the equation.

h = -16t^2 + vt + h(o)

h = -16(1.875)^2 + 60(1.875) + 5

h = -56.25 + 1112.5 + 5

h = 61.25m

Check the attachment for better understanding.

A) True. Both the given statement about simple interest and compound interest is True.

Simple interest is computed on a loan's principal, or initial loan amount.

Compound interest is often referred to as "interest on interest" since it is calculated using both the principal and the accrued interest from prior periods.

Formula for simple interest - S.I. = (P × T × R) ⁄ 100

Formula for compound interest - C.I. = P(1+R⁄100)t − P

If interest is computed on a compound basis rather than a simple basis, the amount of interest that must be paid on a loan can vary significantly. Positively, the power of compounding can work in your favor when it comes to investments and can be a significant contributor to wealth accumulation.

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Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

Mrs. Grubbs would get more cookie to eat by choosing the 4 smaller cookies with diameter 5 cm each rather than the single cookie with diameter 14 cm.

To compare the amount of cookie Mrs. Grubbs would get by eating a single cookie with diameter 14 cm and 4 smaller cookies with diameter 5 cm each, we need to consider the total area of the cookies.

The area of a cookie with diameter 14 cm can be calculated as follows:

A = πr^2 = π(7 cm)^2 = 49π cm^2

where r is the radius of the cookie.

On the other hand, the area of a single small cookie can be calculated as follows:

A1 = \(πr^2\) = \(π(2.5 cm)^2\)= \(6.25π cm^2\)

where r is the radius of the small cookie.

Therefore, the total area of 4 small cookies is:

A2 = 4A1 = \(4(6.25π cm^2)\) = \(25π cm^2\)

Comparing the two options, we see that the total area of the 4 small cookies is greater than the area of the single large cookie:

A2 > A

\(25π cm^2 > 49π cm^2\)

It's worth noting that this comparison assumes that the thickness or volume of the cookies is the same for both options. If the cookies have different thicknesses, then the comparison would need to take into account the volume of the cookies instead of just the area.

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Answer:

=13v−67

Step-by-step explanation:

Let's simplify step-by-step.

9(2v−3)−5(v+8)

Distribute:

=(9)(2v)+(9)(−3)+(−5)(v)+(−5)(8)

=18v+−27+−5v+−40

Combine Like Terms:

=18v+−27+−5v+−40

=(18v+−5v)+(−27+−40)

=13v+−67

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:

How many yards is it? I need to know the how many yards there are

Step-by-step explanation:

If you have it time that with $30 amd there's your answer

Hope this helps :)

plz like & brainly

Answer:

81/25

Step-by-step explanation:

change 3.24 into faction

324 over 100 because there are two decimal points .

simplfy into the smallest fraction

the answer is 81 over 25

Answer: X- 0,1,2,3,4 and Y-0,6,12,18,24

Step-by-step explanation: i had to take this test ): luck

Answer:

Let x be the number of additional outfits.

5 + x < 11

Answer:

80 miles for the .9 one.

Step-by-step explanation:

We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.

In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:

150 = l × 10

Dividing both sides by 10, we get:

15 = l

Therefore, the length of the rectangle is 15 meters.

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Answer:

i answered the other question like this check your other question for the answerrs

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The dividend will be 15 more than 9 times the divisor. It appears you can choose any divisor you like. If the divisor is entirely numerical, it must be greater than 15.

  divisor = 16, so we have (9×16 +15) ÷ 16 = 159 ÷ 16

__

About the simplest divisor we can have is a single variable: x.

  (9x +15)/x

Answer:

The numbers in which 7 appears are. 7, 17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97, 107. So, counting all. ∴ Number of times 7 appears = 21

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer: 2 seconds

Step-by-step explanation:

i got it right on plato/edmentum

Step-by-step explanation:

did you make a typo, or do you actually mean dm ?

1 dm = 10 cm

in any case, in a right prism object it does not matter what shape the bases are.

the volume is always

base area × height

so, if you did not make a typo, then

height = 2.3 dm = 23 cm

and the volume of the prism is

44 × 23 = 1012 cm³

but if you did make a typo and

height = 2.3 cm,

then the volume of the prism is

44 × 2.3 = 101.2 cm³

Answer:

1012 centimeters cubed

Step-by-step explanation:

Volume=base x length x width

height = 2.3 dm, which is 23 cm, so the volume of the prism would be 44 × 23 = 1012 cm cubed

Answer:

C.

Step-by-step explanation:

pa brnlst hehehheeh

thx m ltr

The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer: For this real-valued function;

\(fog = 2\sqrt{x-1} + 1\\ Domain = [1, )\)

Step-by-step explanation:

If f and g are functions, then the composite function or composition, of g and f is defined by

\(( f o g ) (x) = f(g(x))\)

Given the functions \(f(x)=2x+1\) , \(g(x)=\sqrt{x-1}\),

Now composition for this;

\(fog = f(g(x))f(g(x)) = f(\sqrt{x-1} )\)

\(f(\sqrt{x-1})\)means we are to interchange variable x in \(f(x)\) with the function \(\sqrt{x-1}\)

\(f(\sqrt{x-1}) = 2(\sqrt{x-1})+1f(\sqrt{x+1}) = 2(\sqrt{x-1})+1fog = 2(\sqrt{x-1})+1\)

The function inside the square root, x-1, must be more significant than or equal to zero (x-10), for the function to exist on any real-valued function.

\(if, x-1 \geq 0\\x\geq 0+1\\x \geq 1\)

As a result, the range of the variable x must only include values that are larger than or equal to 1.

Hence, Domain = [1, )

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Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

Answer:

18n+9 i think

Step-by-step explanation:

Answer:

36.3636364%

or 36.36

Step-by-step explanation:

Step-by-step explanation:

We know rhat

\( \sin( \frac{x}{2} ) = \sqrt{ \frac{1 - \cos(x) }{2} } \)

whenever x lies from 90 to 180.

If

\( \csc(x) = 9\)

Using Reciprocal Identities

\( \sin(x) = \frac{1}{9} \)

Using Pythagorean Identity,

\( \sin {}^{2} (x) + \cos {}^{2} (x) = 1\)

\(( \frac{1}{9} ) {}^{2} + \cos {}^{2} (x) = 1\)

\( \cos {}^{2} (x) = \frac{80}{81} \)

\( \cos(x) = \frac{4 \sqrt{5} }{9} \)

Cosine is negative in when x lies between 90 and 180 so

\( \cos(x) = - \frac{4 \sqrt{5} }{9} \)

So

\( \sin( \frac{x}{2} ) = \sqrt{ \frac{1 + \frac{4 \sqrt{5} }{9} }{2} } \)

\( \sin( \frac{x}{2} ) = \sqrt{ \frac{9 + 4 \sqrt{5} }{18} } \)

For cosine remember

\( \cos( \frac{x}{2} ) = \sqrt{ \frac{1 + \cos(x) }{2} } \)

Cosine is negative in second quadrant so

\( \cos( \frac{x}{2} ) = - \sqrt{ \frac{1 + \cos(x) }{2} } \)

\( \cos( \frac{x}{2} ) = - \sqrt{ \frac{1 - \frac{4 \sqrt{5} }{9} }{2} } \)

\( \cos( \frac{x}{2} ) = - \sqrt{ \frac{9 - 4 \sqrt{5} }{18} } \)

For tangent,

\( \tan( \frac{x}{2} ) = \frac{ \sin( \frac{x}{2} ) }{ \cos( \frac{x}{2} ) } \)

\( \frac{ \sqrt{ \frac{1 - \cos(x) }{2} } }{ \sqrt{ \frac{1 + \cos(x) }{2} } } \)

\( = \frac{ \sqrt{1 - \cos(x) } }{ \sqrt{1 + \cos(x) } } \)

Tangent is negative over 90<x<180 so

\( - \frac{ \sqrt{1 - \cos(x) } }{ \sqrt{1 + \cos(x) } } \)

\( - \sqrt{ \frac{1 + \frac{4 \sqrt{5} }{9} }{1 - \frac{4 \sqrt{5} }{9} } } \)

\( - \sqrt{ \frac{ \frac{9 + 4 \sqrt{5} }{9} }{ \frac{9 - 4 \sqrt{5} }{9} } } \)

\( - \sqrt{ \frac{9 + 4 \sqrt{5} }{9 - 4 \sqrt{5} } } \)

\( - \sqrt{ \frac{1}{(9 - 4 \sqrt{5) {}^{2} } } } \)

\( - \frac{1}{9 - 4 \sqrt{5} } \)

so

\( \tan( \frac{x}{2} ) = - \frac{1}{ 9 + 4 \sqrt{5} } \)

or

\( \tan( \frac{x}{2} ) = - 9 + 4 \sqrt{5} \)

Answer:

To calculate the percentage increase:

   First: work out the difference (increase) between the two numbers you are comparing.

   Increase = New Number - Original Number.

   Then: divide the increase by the original number and multiply the answer by 100.

   % increase = Increase ÷ Original Number × 100.