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Luda [366]
3 years ago
13

Evaluate the expression 3.2t when t is 1

Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer:

3.2

Step-by-step explanation:

3.2t when t=1

replace t with 1 so 3.2(1)

hence =3.2

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Find the derivative of g(y)=(y-4)*(2y+y^2)
sasho [114]

Answer:

g'(y)=3y^2-4y-8

Step-by-step explanation:

start by foiling out the given function

g(y)=(y-4)(2y+y^2)\\=2y^2+y^3-8y-4y^2\\=y^3-2y^2-8y

next, use the power rule to find the derivative

power rule: To use the power rule, multiply the variable's exponent n, by its coefficient a, then subtract 1 from the exponent. If there's no coefficient (the coefficient is 1), then the exponent will become the new coefficient.

g'(y)=3y^2-4y-8

5 0
2 years ago
A manufacturer produces both two-slice and four-slice toasters. The two-slice toaster takes 6 hours of labor to produce and the
frosja888 [35]

We have two products: a two-slice toaster and a four-slice toaster.

Lets call T the number of two-slice toasters produced and F the number of four-slice toasters produced.

If we have 300 hours per week of labor, the sum of the labor required for T and F has to be lower or equal to that value.

The labor hours that take to make the two-slice toasters can be written as 6*T, as it is the product of the hours per unit (6 hours/unit) by the number of units (T units).

The same can be done for F, where the labor required can be expressed as 10*T.

If we add these terms, and make them be less or equal than 300, we get:

6T+10F\le300

The production capacity is 40 units, so the sum of T and F has to be less or equal than 40.

We can express this as:

T+F\le40

Answer:

The system of inequalities for this problem becomes:

\begin{gathered} 6T+10F\le300 \\ T+F\le40 \end{gathered}

6T+10F<=300

T+F<=40

6 0
1 year ago
Triangle A has side lengths of 10 units, 24, units, and 26 units. Ryan cut out 2 copies of triangle A and joined them together t
sergejj [24]

Answer:

Perimeter of Rectangle will be 68 units.

Step-by-step explanation:

Given:

Length of side 1 = 10 units

Length of side 2 = 24 units

Length of side 3 = 26 units

Now we will check whether the triangle A is right angle triangle or not;

(Length of side 3)^{2} = 26^2 = 676

(Length of side 2)^{2} = 24^2 = 576

(Length of side 1)^{2} = 10^2 = 100

Now From above we can see that;

676 = 576 + 100

Hence we can say ;

(Length of side 3)^{2} = ](Length of side 2)^{2} + (Length of side 1)^{2}

By Converse of Pythagoras theorem.

"Hence When the square of the length of the hypotenuse is equal to sum of the square of other two sides we can say that triangle is a right angled triangle."

Now Given:

Ryan cut out 2 copies of triangle A and joined them together to form a rectangle.

So we can say that the hypotenuse side of the triangle will become diagonal of the rectangle and other two side will become length and width.

Now;

Length of rectangle = 24 units

Width of rectangle = 10 units.

We need to find the perimeter of rectangle.

Now Perimeter of rectangle is 2 times sum of Length and width.

framing in equation form we get;

Perimeter of rectangle = 2(l+w) = 2\times (24+10) = 2\times 34 =68 units.

Hence Perimeter of Rectangle will 68 units.

4 0
3 years ago
Given h(x) = -x + 2, solve for x when h(x) = -3.<br><br> ;-;
Strike441 [17]
-3 = -x + 2
-2 -2
-5 = -x
/-1 /-1
5 = x
5 0
3 years ago
Operaciones de números enteros explicando el paso a paso.<br><br> Lo más rápido posible por favor!!!
SVEN [57.7K]

Answer:

How to do integers operations?

Integers are whole numbers, both positive and negative. You can perform four basic math operations on them: addition, subtraction, multiplication, and division. When you add integers, remember that positive integers move you to the right on the number line and negative integers move you to the left on the number line

Cómo hacer operaciones con números enteros?

Los enteros son números enteros, tanto positivos como negativos. Puede realizar cuatro operaciones matemáticas básicas con ellos: suma, resta, multiplicación y división. Cuando sume números enteros, recuerde que los números enteros positivos lo mueven hacia la derecha en la recta numérica y los enteros negativos lo mueven hacia la izquierda en la recta numérica.

Step-by-step explanation:

4 0
3 years ago
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