Find the gradient of the line segment between the points (-2,3) and (2,4). Give your answer in its simplest form.

Step-by-step explanation:

21% of 36570

21/100 x 36570 = 7679.7

12.2% of 640

12.2/100 x 640 = 78.08

87.5% of 860

87.5/100 x 860 = 752.5

37.5% of 3200

37.5/100 x 3200 = 1200

Answer:

The slope is 6 and the y intercept is 4

(0,4)

Step-by-step explanation:

y = 6x + 4

This is in the form y = mx+b

where m is the slope and b is the y intercept

The slope is 6 and the y intercept is 4

(0,4)

Answer:

117

Step-by-step explanation:

For every 3 zinc there would be 19 copper, and for every 19 copper there would be 3 zinc. There are 741 copper, so there would be 741 * 3 / 19 zinc, which turns out to be 117 zinc.

I think the answer is A. conductor

Answer:

Step-by-step explanation:

Its insulation because the clothing traps in your body heat.

Answer:

[tex]7.040 \times {10}^{3} [/tex]

Step-by-step explanation:

First write this number like this

[tex]7.040[/tex]

Then,

[tex]7.040 \times {10}^{3} [/tex]

To check whether your answer is correct you can do like this

[tex]7.040 \times {10}^{3} [/tex]

[tex] {10}^{3} = 10 \times 10 \times 10 \\ \: \: \: \: \: \: \: \: \: \: = 1000[/tex]

[tex]7.040 \times 1000 \\ = 7040[/tex]

yes, your answer is correct.

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

4y^3/2

Step-by-step explanation:

The 4 will remain 4 so we'll leave that alone. √y³ can be written as y^3/2. The way I like to remember how to write fractional exponents is that the index of the radical is the denominator of the fractional exponent and the exponent inside the radical is the numerator.

y=2

Step-by-step explanation:

Make an equation of straight line by using the formula :y= mx+c

put the x-value of point (2,4) which is 2 and the gradient,m which is 2 into the straight line equation:

y=2x +c

So you need to find the y-intercept to complete the equation, therefore:

when y=0,

0=2(2)+c

c=-4

next the question ask to find the y-coordinate when x =3, therefore you just need to replace x in the equation with 3:

y=2(3)-4

y=4

Answer:  [tex]\bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}[/tex]

Step-by-Step Explanation:

Pythagorean Theorem is: a² + b² = c²  , where "c" is the hypotenuse

[tex]5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]

Note: (15)² + (3√11)² = hypotenuse²   →   hypotenuse = 18

[tex]6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}[/tex]

Note: 8² + 15² = hypotenuse²   →   hypotenuse = 17

[tex]7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]

Note: hypotenuse not needed for tan

[tex]8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}[/tex]

Note: 2² + 6² = hypotenuse²   →   hypotenuse = 2√10

5) cosθ = [tex]\frac{\sqrt{11} }{6}[/tex] , 6) cosθ = [tex]\frac{8}{17}[/tex] , 7) tanθ = [tex]\frac{4}{3}[/tex] , 8) cosθ = [tex]\frac{1}{\sqrt{10} }[/tex]

If, a be the perpendicular, b be the base & c be the hypotenuse of a right angle triangle.

Then, [tex]c=\sqrt{a^{2}+ b^{2} }[/tex]

cosθ = (Side adjacent to θ)/(Hypotenuse)

sinθ = (Side opposite to θ)/(Hypotenuse)

tanθ = (Side opposite to θ)/(Side adjacent to θ)

5) Hypotenuse = [tex]\sqrt{(3\sqrt{11}) ^{2} +15^{2} }[/tex]

                            = [tex]\sqrt{99+225}[/tex]

                            = [tex]\sqrt{324}[/tex] = 18

∴ cosθ = (Side adjacent to θ)/(Hypotenuse)

           = [tex]\frac{3\sqrt{11} }{18}[/tex] =[tex]\frac{\sqrt{11} }{6}[/tex]

6) Hypotenuse = [tex]\sqrt{8^{2} +15^{2} }[/tex]

                             = [tex]\sqrt{64+225}[/tex]

                             = [tex]\sqrt{289}[/tex] = 17

∴ cosθ = (Side adjacent to θ)/(Hypotenuse)

           = [tex]\frac{8}{17}[/tex]

7) tanθ = (Side opposite to θ)/(Side adjacent to θ)

               = [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex]

8) Hypotenuse = [tex]\sqrt{2^{2} +6^{2} }[/tex]

                              = [tex]\sqrt{4+36}[/tex]

                              = [tex]\sqrt{40}[/tex] = [tex]2\sqrt{10}[/tex]

∴ cosθ = (Side adjacent to θ)/(Hypotenuse)

            = [tex]\frac{2}{2\sqrt{10} }[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

Learn more about trigonometric functions here :

https://brainly.com/question/1143565

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When you look at the equation it's basically in slope-intercept form

.[tex]f(x)=x-3[/tex]  = [tex]y=x-3[/tex]

which mean that your coordinates would be (0, -3) and (3,0)

Answer:

0.427

Step-by-step explanation:

Standard error for the sampling distribution refers to the standard deviation of the samples taken from a population. The standard error equals the standard deviation divided by the square root of the sample size

The probability of customers who drink tea (p) = 24% = 0.24, the sample size of customers (n) = 300.

Standard error = [tex]\frac{\sigma}{\sqrt{n} }[/tex] where σ is the standard deviation.

[tex]\sigma=\sqrt{np(1-p)}[/tex]

Standard error = [tex]\frac{\sigma}{\sqrt{n} }= \frac{\sqrt{np(1-p)} }{\sqrt{n} } =\sqrt{\frac{np(1-p)}{n} } =\sqrt{p(1-p)}=\sqrt{0.24(1-0.24)} =0.427[/tex]

Answer:

False

Step-by-step explanation:

Inductive reasoning is a method of reasoning in which the premises are viewed as supplying some evidence for the truth of the conclusion.

Answer:

L = 12  S = 5

Step-by-step explanation:

L+S=17

3L+2S=46

Multiply the first equation by -2

-2L -2S = -34

Then add it to the second equation

-2L -2S = -34

3L+2S=46

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

L = 12

Now we can find S

L+S = 17

12 + S = 17

Subtract 12 from each side

S = 17-12

S = 5

The triangle is not obtuse. The triangle IS both acute and scalene.

Answer:

B) obutse

Step-by-step explanation

none of the angles are above 90 degrees so it cant be obtuse. All of the sides are unequal so it is scalene. Lastly, all of its angles are smaller than 90 degrees making it scalene and acute, not obtuse

Answer:

24 cm² and 12 cm²

Step-by-step explanation:

Sum the parts of the ratio, 2 + 1 = 3 parts

Divide the area by 3 to find the value of one part of the ratio.

36 cm² ÷ 3 = 12 cm² ← value of 1 part of the ratio , thus

2 parts = 2 × 12 = 24 cm²

area of A = 12 cm² and area of B = 24 cm²

Answer:

3:1

Step-by-step explanation:

It is indeed false.

[tex]\sin^{-1}x[/tex] is a function that takes values of [tex]x[/tex] between -1 and 1, and takes on values between -π/2 and π/2. Most importantly, it's a function that takes *one* value in its domain and assigns it to exactly *one* value in its range. Hence [tex]\sin^{-1}x[/tex] is one-to-one.

It's true that [tex]\sin x=\frac45[/tex] has infinitely many solutions, but [tex]\sin x[/tex] itself is not one-to-one.

Answer:

False

Step-by-step explanation:

Answer:

m=-5/4

Step-by-step explanation:

the slope is always defined as "the change in y over the change in x" m= y2-y1/x2-x1

Answer:

Step-by-step explanation:

This is a piecewise function. If we are finding the average rate of change over the interval 4 and 12 inclusive, that means that we are finding the slope of the whole function (both pieces) from 4 to 12 (domain values are from 4 to 12. That means x values). This is not a straight line, so the average value is merely a rough estimate of the slope between x values 4 and 12.

When x ≤ 4, we have to use the first piece of the function, 3x - 7 because the restriction on the domain is that x has to be less than 6 and 4 is less than 6. Evaluating at the domain of 4 in the first piece will give us an (x, y) coordinate to help find the slope.

f(4) = 3(4) - 7 and

f(4) = 12 - 7 so

f(4) = 5 and the coordinate is (4, 5).

When x ≤ 12 we have to use the second piece of the function, .75x + 10 because the domain restriction is that x has to be greater than or equal to 6 and 12 is greater than 6. Evaluating at a domain of 6 will give us the other coordinate we need to find the slope.

f(12) = .75(12) + 10 and

f(12) = 9 + 10 so

f(12) = 19 and the coordinate is (12, 19). Now for the slope (aka average rate of change). Using the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{19-5}{12-4}=\frac{14}{8}=\frac{7}{4}[/tex]

There you go! Just remember the domain thing and you should be fine.

Answer:

x>1/2

Step-by-step explanation:

6x>3

x>1/2

Answer:

X>1/2

Step-by-step explanation:

6x + 4> 7

-4 on each side

6x > 3

Divide 6 on each side

X>1/2

Hope this helps plz mark brainliest!

Answer:

No solutions

Step-by-step explanation:

[tex]y=-\dfrac{1}{2}x+4 \\\\x+2y=-8[/tex]

Substitute:

[tex]x+2(-\dfrac{1}{2}x+4)=-8\\\\x-x+8=-8\\\\8=-8[/tex]

This system has no solutions.

Hope this helps!

Answer:

25%

Step-by-step explanation:

There are 8 slices in the spinny thingy.

There are 2 A's

[tex]\frac{1}{4}[/tex] = 25%

Answer:

y = 8-3x and y = -11/3 + x/3

For the first equation you have to subtract 3x from both sides of the equation. for the second equation you have to move all terms that doesn't contain y to the right side and solve

Answer:

a) |z+w|² cannot be uniquely determined from the information provided.

b) |zw|² = [|z| × |w|]² = (4×2)² = 64.

c) |z+w|² cannot be uniquely determined from the information provided.

d) |z/w|² = [|z|/|w|]² = (4/2)² = 4

Step-by-step explanation:

z & w are complex numbers with magnitudes

|z| = 4

|w| = 2

We are the told to find

|z + w|²

|zw|²

|z - w|²

|z/w|²

Let the complex numbers be

z = x + iy

w = a + ib

|z| = √(x² + y²) = 4

|w| = √(a² + b²) = 2

|z|² = x² + y² = 16

|w|² = a² + b² = 4

z+w = (x + iy) + (a + ib) = (x + a) + i(y + b)

|z+w|² = (x + a)² + (y + b)² = x² + 2ax + a² + y² + 2by + b²

= (a² + b²) + (x² + y²) + 2ax + 2by

= |w|² + |z|² + 2ax + 2by

= 4 + 16 + 2ax + 2by

= 20 + 2(ax + by)

This cannot be determined from the information provided.

zw = (x + iy)(a + ib) = ax + i(bx + ay) - by

= (ax - by) + i(bx + ay)

|zw|² = a²x² + b²y² - 2abxy + b²x² + a²y² + 2abxy

= a²x² + b²y² + b²x² + a²y²

= a²(x² + y²) + b²(x² + y²)

= (a² + b²)(x² + y²)

= |w|² × |z|²

= 4×16

= 64

c) z-w = (x + iy) - (a + ib) = (x - a) + i(y - b)

|z-w|² = (x - a)² + (y - b)²

= x² - 2ax + a² + y² - 2by + b²

= (a² + b²) + (x² + y²) - 2ax - 2by

= |w|² + |z|² - 2ax - 2by

= 4 + 16 - 2ax - 2by

= 20 + 2(ax + by)

This cannot be determined from the information provided.

d) z/w = (x + iy)/(a + ib)

Rationalizing by multiplying numerator and denominator by (a - ib)

(z/w)= [(x + iy)(a - ib)/(a + ib)/(a - ib)]

= [ax - by + i(ay - bx)]/(a² + b²)

|z/w|² = [(ax + by)² + (ay - bx)²]/(a² + b²)²

= [a²x² + b²y² + 2abxy + b²x² + a²y² - 2abxy]/(a⁴ + b⁴ + 2a²b²)

= [a²x² + b²y² + b²x² + a²y²]/[(a² + b²)² - 2a²b² + 2a²b²]

= [(a² + b²)(x² + y²)]/[(a² + b²)²]

= [(x² + y²)/(a² + b²)]

= |z|²/|w|²

= (4/2)²

= 4

Hope this Helps!!!

Answer:

2*cuberoot(73)

Step-by-step explanation:

We can move the 2^3 put of the radical as a 2

Answer:

the slope is 12

Step-by-step explanation:

y=12x+1 is from the formula y=mx+b where m is the slope and b is the y-intercept.

Since 12 has replaced m, it is the slope.

Since 1 has replaced b, it is the y-intercept.

"the slope is 12" is the correct answer choice.

Answer:

1000

Step-by-step explanation:

The successor of 999 is 1000

999+1=1000

SUCCESSOR

The number which comes immediately after a particular number is called its successor.  The successor of a whole number is the number obtained by adding 1 to it.  Clearly, the successor of 0 is 1; successor of 1 is 2; successor of 2 is 3 and so on.

Answer:

Step-by-step explanation:

Answer:

B. 81 weeks

Step-by-step explanation:

If we plug everything into the equation it should look like this:

[tex]82 = w + 1[/tex]

Then we would subtract 1 from both sides, then we are left with w:

[tex]w = 81[/tex]

Hope this helps!

So the answer is -1/4x+3.5, thats the answer ok

Answer:

B

Step-by-step explanation:

Rolling dice is simple, but it definitely isn't an event.