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professor190 [17]

2 years ago

14

Henry took a total of 9 quizzes over the course of 3 weeks. How many weeks of school will Henry have to attend this quarter befo

re he will have taken a total of 15 quizzes? Assume the
relationship is directly proportional

1 answer:

olga_2 [115]2 years ago

4 0

Answer:

5 weeks if it stays the rate of 3 quizzes a week

brainliest if correct please

Step-by-step explanation:

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I need help please?!!!!

Neporo4naja [7]

Answer:

Yes.

Step-by-step explanation:

7 0

3 years ago

Given vectors u = (−1, 2, 3) and v = (3, 4, 2) in R 3 , consider the linear span: Span{u, v} := {αu + βv: α, β ∈ R}. Are the vec

julia-pushkina [17]

Answer:

$(2,6,6) \not \in \text{Span}(u,v)$

$(-9,-2,5)\in \text{Span}(u,v)$

Step-by-step explanation:

Let $b=(b_1,b_2,b_3) \in \mathbb{R}^3$ . We have that $b\in \text{Span}\{u,v\}$ if and only if we can find scalars $\alpha,\beta \in \mathbb{R}$ such that $\alpha u + \beta v = b$ . This can be translated to the following equations:

1. $-\alpha + 3 \beta = b_1$

2. $2\alpha+4 \beta = b_2$

3. $3 \alpha +2 \beta = b_3$

Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for $\alpha,\beta$ and check if the third equationd is fulfilled.

Case (2,6,6)

Using equations 1 and 2 we get

$-\alpha + 3 \beta = 2$

$2\alpha+4 \beta = 6$

whose unique solutions are $\alpha =1 = \beta$ , but note that for this values, the third equation doesn't hold (3+2 = 5 $\neq$ 6). So this vector is not in the generated space of u and v.

Case (-9,-2,5)

Using equations 1 and 2 we get

$-\alpha + 3 \beta = -9$

$2\alpha+4 \beta = -2$

whose unique solutions are $\alpha=3, \beta=-2$ . Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.

4 0

2 years ago

3q + 3j <br>if q= 7 and j = 4

Flura [38]

Answer:

33

Step-by-step explanation:

3q + 3j

if q= 7 and j = 4

3(7) + 3(4) = 21 + 12 = 33

7 0

2 years ago

Read 2 more answers

Marcus arranged 16 pencils into an array. The array has 2 columns How many rows are there?

Anna71 [15]

Answer:

8

Step-by-step explanation:

8+8=16

or

16 divided by 2= 8

5 0

3 years ago

Read 2 more answers

The base of a triangle is 9/4 times of its height. If the area of triangle is 144 cm2. Find the height and the base.

Mazyrski [523]

Step-by-step explanation:

Given that the base of triangle is 9/4 times of its height . And area is 144 cm² . Let the height be h , then its base be 9h/4 .

<u>•</u><u> </u><u>Acco</u><u>rding</u><u> </u><u>to</u><u> </u><u>Question</u><u> </u><u>:</u><u>-</u><u> </u>

$\tt\to Area_{(\triangle)}=\dfrac{base\times height}{2}\\\\\tt\to 144cm^2 = \dfrac{9h\times h}{4\times 2 } \\\\\tt\to h^2 =\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }\\\\\tt\to h =\sqrt{\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }}\\\\\tt\to h =\dfrac{(12)(2)}{3} \\\\\tt\to \boxed{\orange{\tt h = 8 cm }}$

Therefore ,

Height = h = 8cm .
Base ,= 9h/4 = 18cm .

5 0

2 years ago