What is the value of s?

Answer:

Solution,

Let the points be A and B

A(-4 , 1)------>( X1, y1)

B(2,4)---------->( x2, y2)

Now,

Gradient:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

[tex] \frac{4 - 1}{2 - ( - 4)} [/tex]

[tex] \frac{3}{2 + 4} [/tex]

[tex] \frac{3}{6} [/tex]

[tex] \frac{1}{2} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

1/2

Step-by-step explanation:

Answer:

9 hours

Step-by-step explanation:

First we have to calculate how many eggs she can collect in an hour. All we have to do to do this is divide 80 by 2, as if she can collect 80 in 2 hours, in one hour, half of the time, she can collect have of the eggs. This means that she can collect 40 eggs in one hour.

Now all we have to do is divide how many eggs she wants to collect by how many she can collect per hour, which will give how many hours it will take. In this case 360/40=9, so it will take her 9 hours.

Answer:

9 hours

360/80 = 4.5 x 2 = 9

Step-by-step explanation:

length of the box is a = 25 -2x

width of the box is b =13 -2x

height of the box is x

and x < 6,5

so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x

f'(x) = 12x^2 - 152x + 325

to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94

so x = 2,72 inches

Answer:

length of the box is a = 25 -2x

width of the box is b =13 -2x

height of the box is x

and x < 6,5

so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x

f'(x) = 12x^2 - 152x + 325

to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94

so x = 2,72 inches

Step-by-step explanation:

Answer:

[tex]1048^{2}[/tex](cm)

Step-by-step explanation:

Answer:

Substitution

Step-by-step explanation:

The subtraction property of equality is when you subtract from both sides, they will still be equal. The multiplication property is the same thing but with multiplication.

Answer:

Substitution

Step-by-step explanation:

Substitution: If a = b, then either a or b may be substitued for the other in any equation (or inequality).

Multiplication: If a =b, then ca = cb.

Subtraction: If a=b and c=d, then a-c=b-d

Substitution is the closest.

Hey there! :)

Answer:

x = -4/3, 0, 4.

Step-by-step explanation:

Starting with:

6x³ - 16x² - 32x = 0

Factor out the greatest common factor between each term, or 2x:

2x(3x² - 8x - 16) = 0

Factor the expression inside the parenthesis:

2x(3x +4)(x - 4) = 0

Use the Zero Product Property to solve the equation:

2x = 0

x = 0

---------

3x + 4 = 0

3x = -4

x = -4/3

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

x - 4 = 0

x = 4

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

Therefore, the solutions to this equation are:

x = -4/3, 0, 4.

Answer:

Step-by-step explanation:

The common factor is 2x

2x(3x^2 - 8x - 16)

(x - 4)(3x+4)*2x = 0

x = 2

x = 4

x = -4/3

This does not graph too awfully well, but at least it givens you a notion of the roots.

Answer:

1500*0.74 = (1,110 euros)

Step-by-step explanation:

1.  Use the equation, 1500*0.74.

2.  Multiply 1500 and 0.74 to find out how many euros can be converted with 1500 US dollars.

3. Once you multiply them together, the final answer is 1,110 euros.

Answer:

90%

Step-by-step explanation:

Let R = 100

Since, Z = 30% of R

Therefore, Z = 30% *100 = 30

Since, W = 3Z

Therefore, W = 3*30 = 90

Percentage of W of R

[tex]= \frac{Value \: of \: W}{Value \: of \: R} \times 100\\\\

=\frac{90}{100} \times 100\\\\

Percentage \:of \:W \:of \:R =90\%[/tex]

If W = 3Z, and Z is 30% of R. Then W is 90 percent of R.

The quantity of anything is stated as though it were a fraction of a hundred.

If W = 3Z, and Z is 30% of R.

Z = 0.30R

The put the value of Z in the equation W = 3Z.

W = 3 (0.30R)

W = 0.90 R

Then W is 90 percent of R.

More about the percentage link is given below.

https://brainly.com/question/8011401

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Answer:

Let's use Pythagorean Theorem which states:

6² + 10² = x²

36 + 100 = x²

136 = x²

x = ± 2√34

Since the side lengths of a triangle cannot be negative, x = -2√34 is an extraneous solution which means that x = 2√34.

Answer:Answer:

Let's use Pythagorean Theorem which states:

6² + 10² = x²

36 + 100 = x²

136 = x²

x = ± 2√34

Since the side lengths of a triangle cannot be negative, x = -2√34 is an extraneous solution which means that x = 2√34.

Read more on Brainly.com - https://brainly.com/question/17033938#readmore

Step-by-step explanation:

Answer:

To answer the question above,

If you entered your test scores correctly, then your choices are off the wall.  

The median is 87  

The mode is 89  

The mean is 85.833...  

There is not a mode of 91 !  

I hope this helps

Step-by-step explanation:

Answer:

549.5

Step-by-step explanation:

Answer:

The interquartile range is 549.5

Step-by-step explanation:

This is probably too late, but whatever.

1. To find the IQR, put the numbers in order. (least to greatest)

(457, 548, 866, 952, 976, 1037, 1148, 1235, 1245, 1431, 1486, 1759, 1864)

2. Find the median.

(457, 548, 866, 952, 976, 1037, 1148, 1235, 1245, 1431, 1486, 1759, 1864)

The median is 1148.

3. Seperate the numbers above and below the median by using parentheses.

(457, 548, 866, 952, 976, 1037) 1148 (1235, 1245, 1431, 1486, 1759, 1864)

4. Find Q1 and Q3. These are the medians of the numbers above and below 1148, respectively.

Q1 is the median of (457, 548, 866, 952, 976, 1037) = 866+952/2 = 909

Q1 = 909

Q3 is the median of (1235, 1245, 1431, 1486, 1759, 1864)

1431+1486/2=1458.5

Q3 = 1458.5

Subtract Q1 from Q3 to find the interquartile range.

Q3- Q1

1458.5 - 909 = 549.5

The interquartile range is 549.5 .

Answer:

-36x-4y+72=0

Step-by-step explanation:

given line

36y-4x=18

or 4x-36y+18=0.......(i)

comparing(i) with ax+by+c=0

we get

a=4

b= -36

c=18

we know

line parallel to (i) is

bx-ay+k=0

where k = ac

then

-36x-4y+4×18=0

therefore -36x-4y+72=0 is the required equation

% error formula: | true value minus "your" (as in Keiko's) value | over true value, times 100.

so: 42 - 45 = 3 (it would be negative but we used absolute value, which is how it is supposed to be done. 3 is your absolute error).

3/42 = 0.07143

0.07142 * 100 = 7.142%. she was only 7.142% off from the right answer.

Answer:

1

Step-by-step explanation:

You only need two points to find the slope.

Let's use (1,7) and (2,8).

The formula for slope is (y2-y1)/(x2-x1)

Let's plug the values in:

(8-7)/(2-1) = 1.

So, the slope is 1.

Answer:

I need help though cause I had this for homework right now

Step-by-step explanation:

Answer:

The answer should be 20.

Step-by-step explanation:

First, you need to understand the abbreviated list: PEMDAS. I'm not sure if you guys learned this or not, but it helps to know when solving problems like this.

So, if you don't know: PEMDAS is a list of what order you would need to start with when solving a problem. The order is Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

With that in mind, we'll start by looking at the numbers in the numerator of this fraction. (Doesn't matter if you start with the numerator or denominator first.)

You want to start with the numbers in the parentheses as that is the first letter in the PEMDAS phrase.

[tex](7-6.35) = 0.65[/tex]

Now, we have division and an addition sign next. According to PEMDAS, you want to start with Division before you Add. So, you will end up having a 10 in the numerator. (I'm assuming you can use a calculator for this, so I'm not showing how to divide the decimals.)

[tex]\frac{(0.65)}{6.5}+9.9=0.1+9.9 =10[/tex]

Save that number somewhere for now since we will have to come back to it later. For the denominator, we have a set of parentheses that the problem wants us to focus on so, ignore the [tex]7\frac{1}{24}[/tex] for now.

Start with the first set of numbers that have the division sign in between.

[tex]\frac{1.2}{36} =0.03333[/tex]

Don't add just yet after getting this number. You want to divide the 1.2 and [tex]\frac{1}{4}[/tex] since Division needs to be done first before Adding or Subtracting.

[tex]\frac{1.2}{\frac{1}{4} }=4.8[/tex]

The resulting numbers in the parentheses should look like this now (we're still ignoring the [tex]7\frac{1}{24}[/tex] at the end after the parentheses):

[tex](0.03333+4.8-1\frac{5}{16})=3.520833333[/tex]

This expression is also the same as this if you wanted to change the fraction at the end of the parentheses:

[tex](0.03333+4.8-\frac{21}{16})=3.520833333[/tex]

Now you can finally take this number and divide it by [tex]7\frac{1}{24}[/tex] or [tex]\frac{169}{24}[/tex].

[tex]\frac{3.520833333}{\frac{169}{24} }=0.5[/tex]

These are really big numbers when you are dividing so hopefully you don't have to solve this all out in your head or by paper. Now, remember that 10 we got from the numerator earlier? We can finally use that here where we have that as our numerator and 0.5 as our denominator.

[tex]\frac{10}{0.5} =20[/tex]

This gives you the final answer of 20.

2630 * 2.54 * 2.54 = 16967.71 cm2

The total surface area of the window in square centimeters is 17011 cm².

To convert the total surface area of a window from square inches to square centimeters, we can use the conversion factor of 1 in = 2.54 cm.

Here are the steps to follow:

Multiply the surface area in square inches by the conversion factor to get the surface area in square centimeters.

Round the answer to the nearest whole number.

Using the given surface area of 2630 in², we can convert it to square centimeters as follows:

2630 in² × (2.54 cm/in)² = 17010.76 cm²

Rounding to the nearest whole number, we get:

17011 cm²

Therefore, the total surface area of the window in square centimeters is 17011 cm².

Learn more about total surface area here: brainly.com/question/8419462

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Answer:

It's the first option.

Step-by-step explanation:

The line which rises to the right has a slope of 1 and a y-intercept of -6.

It's equation is y = x - 6.

The one which rises to the left has slope -1 and y-intercept -2.

It's equation is y = -x - 2  or x + y = -2.

The solution is at the point where the 2 lines cross - that is (2, -4).

Answer:

B

Step-by-step explanation:

You must subtract the small volume from the bigger volume in this case you must do [tex](4\pi x^{3} +32\pi x^{2} +64\pi x)-4\pi x^{3}[/tex]

Simplified is B

Answer:

[tex]\frac{d y}{d x} = - (2 x + 3 x^{2} )sin2(x^{2} +x^{3})[/tex]

Step-by-step explanation:

Step(i):-

Given y = cos² (x² + x³)  ....(i)

By using differentiation formulas

a)    [tex]\frac{d}{dx} (cosx) = -sinx[/tex]

b)    [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]

Step(ii):-

    Differentiating equation (i) with respective to 'x'

First apply formula  [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]

      [tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} )^{2-1} \frac{d}{d x} (cos(x^{2} +x^{3})[/tex]      

Now we will apply formula

     [tex]\frac{d}{dx} (cosx) = -sinx[/tex]

     [tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} ) (-sin(x^{2} +x^{3})\frac{d}{dx} (x^{2} +x^{3} )[/tex]

Again apply formula  [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]

    [tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} ) (-sin(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]

  [tex]\frac{d y}{d x} = -2 sin (x^{2} +x^{3} ) cos(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]

we know that trigonometric formulas

Sin 2θ  = 2 sinθ cosθ

[tex]\frac{d y}{d x} = -sin2(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]

Final answer:-

[tex]\frac{d y}{d x} = - (2 x + 3 x^{2} )sin2(x^{2} +x^{3})[/tex]

Answer:

110.40

Step-by-step explanation:

First find the discount

120 * 20%

120*.2 = 24

Subtract this from 120

120-24

96

Now find the tip

96* 15%

96*.15

14.4

Add this to the 96

96+14.4

110.40

Answer:

$110.40

Step-by-step explanation:

The total is $120 and since there a coupon we need to subtract 20%

20% as a decimal is 0.2

When you do 0.2 multiplied by 120 you would get 24

After that you subtract $24 and get $96

15% as a decimal is 0.15

0.15 multiplied by 96 is 14.4

94 + 14.4 = 110.4

Step-by-step explanation:

S+24/7 = -2

7×{S +24/7} = -2×7

S+24 = -14

S+24-24 = -14-24

S = -38

Answer:

-19.43

Step-by-step explanation:

Withdrawals are negative

Answer:

C. log2 3/2.

Step-by-step explanation:

When you are adding two logs with the same base, you multiply.

So, log2 6 + log2 2 = log2 6 * 2 = log2 12

When you subtract two logs with the same base, you divide.

So, log2 12 - log2 8 = log2 12 / 8 = log2 3/2

The answer is C. log2 3/2.

Hope this helps!!

There are 14 sections with a score higher than 5. And there 20 in total. The probability is:

[tex]P(A) = \dfrac{\#A}{\Omega}\\\\\\P(A) = \dfrac{14}{20}\\\\\\P(A) = \dfrac{7}{10}\\\\\\P(A)= 70\%[/tex]

Answer:

1/4

Step-by-step explanation:

because there is 20 wedges and 5 wedges have less than 5 points.

so 5/20 = 1/4

Answer:

60°

Step-by-step explanation:

<DGC = <AGB

90 = 90

You know that line E and F is 180° since it is a straight line. On the staright line you now have two angels. You can now frigure out x° by doing this:

180° - (30° + 90°)

180° - 120°

60°

Answer:

x=60

Step-by-step explanation:

using verticle theorem angle FC is 30 and angle AB is 90. Angle D = x

240+2x=360

x=60

Answer:

357.96

Step-by-step explanation:

A=2πrh+2πr^2

Above is the equation for surface area of a cylinder. All you have to do is plug in the values, which are already given.

2 * 3.14* (3 * 16) + 2 * 3.14 * (3*3)

=301.44 + (6.28 * 9)

= 357.96 mm^2

Answer:

A.there are 3 terms.

B.the variables are x, y, and z.

Step-by-step explanation:

Complete question below:

Consider the following expression and determine which statements are true. x^2+5yz−8

CHOOSE 2 ANSWERS)

A.there are 3 terms.

B.the variables are x, y, and z.

C.The coefficient of x is 2.

D.the term 5yz is made up of 2 factors

The expression x^2+5yz-8

has three terms namely: x^2, 5yz and -8

The variables are x, y and z

The coefficient of x is 1 not 2, so option c is wrong

The term 5yz is made up of more than two factors namely 5, y, z, 5y, 5z, 5yz . So option d is also wrong.

The correct answers are option a and option b

A.there are 3 terms.

B.the variables are x, y, and z

Answer:

A and B

Step-by-step explanation:

What Khan said