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2 years ago

A number m minus 3 is more than -4

1 answer:

7 0

M= a number
> = more than/greater than

Expression:
m - 3 > -4

If you have to also solve:

m - 3 > -4
add 3 to both sides

m > -1

ANSWER: expression is m - 3 > -4;
expression solved for m is m > -1

Hope this helps! :)

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Find Theta in degrees. WILL MARK BRAINLIEST I PROMISE<3333

Semmy [17]

Answer:

$sin \alpha = \frac{opposite}{hypotenuse} \\ sin \alpha = \frac{8}{17} \\ sin \alpha = 0.470588235294117 \\ \alpha = {sin}^{ - 1} (0.470588235294117) \\ \alpha = 28.07 \: degrees$

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2 years ago

3 mangoes and 2 oranges have a mass of 200gm and 4 mangoes and 4 oranges have a mass of 300gm. Find out the mass of each fruit.

mestny [16]

Start by defining your variables
let x be the mass of a single mango in gm
let y be the mass of a single orange in gm

now, write the question as a system of equations

3 mango and 2 orange have a mass of 200 gm
3x +2y = 200
4 mango and 4 orange have a mass of 300 gm
4x +4y = 300

now you have a system of equations
3x+2y =200
4x+4y =300

solve for x and y

5 0

3 years ago

Read 2 more answers

Heidi wants to make some biscuits using this recipe.

Andre45 [30]

The most cookies Heidy can make is 36 cookies.

<h3>How to calculate how many cookies can Heidy make?</h3>

To know how many cookies Heidy can make, you have to take into account the following information:

12 cookies need the following ingredients:

125g butter
200g flour
50g sugar

In the case in which Heidy has more ingredients, we must carry out the following operations:

Divide the quantities, in the reference quantity we have:

500g of butter ÷ 125g of butter = 4
700g flour ÷ 200g flour = 3.5
250g of sugar ÷ 50g of sugar = 5

According to the above, we must take into account the lowest value of all because if that ingredient is enough, we can infer that the rest of the ingredients also.

So the number of cookies Heidy can make are:

12 × 3.5 = 42

Learn more about ingredients in: brainly.com/question/26532763

7 0

2 years ago

3. The curve C with equation y=f(x) is such that, dy/dx = 3x^2 + 4x +k

Andreas93 [3]

a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have

$\displaystyle \frac{dy}{dx} = 3x^2 + 4x + k \implies y = f(0) + \int_0^x (3t^2+4t+k) \, dt$

Evaluate the integral to solve for y :

$\displaystyle y = -2 + \int_0^x (3t^2+4t+k) \, dt$

$\displaystyle y = -2 + (t^3+2t^2+kt)\bigg|_0^x$

$\displaystyle y = x^3+2x^2+kx - 2$

Use the other known value, f(2) = 18, to solve for k :

$18 = 2^3 + 2\times2^2+2k - 2 \implies \boxed{k = 2}$

Then the curve C has equation

$\boxed{y = x^3 + 2x^2 + 2x - 2}$

b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:

$\dfrac{dy}{dx}\bigg|_{x=a} = 3a^2 + 4a + 2$

The slope of the given tangent line $y=x-2$ is 1. Solve for a :

$3a^2 + 4a + 2 = 1 \implies 3a^2 + 4a + 1 = (3a+1)(a+1)=0 \implies a = -\dfrac13 \text{ or }a = -1$

so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).

Decide which of these points is correct:

$x - 2 = x^3 + 2x^2 + 2x - 2 \implies x^3 + 2x^2 + x = x(x+1)^2=0 \implies x=0 \text{ or } x = -1$

So, the point of contact between the tangent line and C is (-1, -3).

7 0

2 years ago

The team scored 71 points in the last game. Alice, Bianca,Camila,and Dasha each scored 14 points. The remaining 3 girls on the t

poizon [28]

Answer:

5 points

Step-by-step explanation:

Alice, Bianca, Camila, and Dasha each scored 14 points. 14 x 4 = 56

56 + 15 = 71

3 x 5 = 15

The three remaining girls scored 5 points each.

4 0

3 years ago