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3 years ago

How much does Alicia have left?

Mathematics

1 answer:

ladessa [460]3 years ago

4 0

Answer:

3 7/8

Step-by-step explanation:

You have 5 pounds - 1 1/8

So if you first subtract 1 pound by 1/8 you are left with 7/8 which gives you 4 left but you still have the one to subtract so you get 3 7/8

You might be interested in

Which number line represents all of the values of x for the equation x2 = 100

Hitman42 [59]

x^2 = 100...by taking the square root of both sides, this eliminates the ^2

x = (+-) sqrt 100

x = (+-) 10

so the values of x are -10 and 10

4 0

3 years ago

when 2 is added to five times a number, the result is less than 13 .find the greatest whole number that satisfies the statement

Ghella [55]

Answer:

Step-by-step explanation:

The text translates to:

5x + 2 < 13

which simplifies to

x < 11/5

the greatest integer that does this is 10/5, a.k.a. 2

4 0

3 years ago

All vectors are in Rn. Check the true statements below:

Oduvanchick [21]

Answer:

A), B) and D) are true

Step-by-step explanation:

A) We can prove it as follows:

$Proy_{cv}y=\frac{(y\cdot cv)}{||cv||^2}cv=\frac{c(y\cdot v)}{c^2||v||^2}cv=\frac{(y\cdot v)}{||v||^2}v=Proy_{v}y$

B) When you compute the product Ax, the i-th component is the matrix of the i-th column of A with x, denote this by Ai x. Then, we have that $||Ax||=\sqrt{(A_1 x)^2+\cdots (A_n x)^2}$ . Now, the colums of A are orthonormal so we have that (Ai x)^2=x_i^2. Then $||Ax||=\sqrt{(x_1)^2+\cdots (x_n)^2}=||x||$ .

C) Consider $S=\{(0,2),(2,0)\}\subseteq \mathbb{R}^2$ . This set is orthogonal because $(0,2)\cdot(2,0)=0(2)+2(0)=0$ , but S is not orthonormal because the norm of (0,2) is 2≠1.

D) Let A be an orthogonal matrix in $\mathbb{R}^n$ . Then the columns of A form an orthonormal set. We have that $A^{-1}=A^t$ . To see this, note than the component $b_{ij}$ of the product $A^t A$ is the dot product of the i-th row of $A^t$ and the jth row of $A$ . But the i-th row of $A^t$ is equal to the i-th column of $A$ . If i≠j, this product is equal to 0 (orthogonality) and if i=j this product is equal to 1 (the columns are unit vectors), then $A^t A=I$

E) Consider S={e_1,0}. S is orthogonal but is not linearly independent, because 0∈S.

In fact, every orthogonal set in R^n without zero vectors is linearly independent. Take a orthogonal set $\{u_1,u_2\cdots u_p\}$ and suppose that there are coefficients a_i such that $a_1u_1+a_2u_2\cdots a_nu_n=0$ . For any i, take the dot product with u_i in both sides of the equation. All product are zero except u_i·u_i=||u_i||. Then $a_i||u_i||=0$ then $a_i=0$ .

5 0

3 years ago

Mrs. Yin bought 0.81 of a pound of turkey and 0.69 of a pound of chicken. Did Mrs. Yin buy more turkey or more chicken? Show how

S_A_V [24]

Mrs. Yin bought more turkey than chicken. I know because 0.80 is greater than 0.69

5 0

3 years ago

Un paracaidista que pesa 70 N es lanzado de un avión. halla su masa

77julia77 [94]

Answer:

<em>La masa del paracaidista es 7.14 Kg</em>

Step-by-step explanation:

La masa de un objeto es una medida de la cantidad de material que el objeto posee. Sus unidades más comunes son el Kg, gr, lb, Ton.

El peso de un objeto de masa m es la fuerza con la cual la Tierra atrae al objeto a través de la aceleración de gravedad g. Sus unidades son iguales a las de cualquier fuerza, es decir, Nw, Kgf, Dina. Su fórmula es:

P=m.g

Si tenemos el peso P=70 N, podemos calcular la masa, despejándola de la fórmula:

$\displaystyle m=\frac{P}{g}$

Sustituyendo los valores:

$\displaystyle m=\frac{70}{9.8}=7.14\ Kg$

La masa del paracaidista es 7.14 Kg

8 0

3 years ago