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2 years ago

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Mr. Jackson and Ms. Collins 3rd grade classes are going on a field trip to the science museum. There are 20 children in one clas

sroom and 22 students in the other. The students will tour the museum in groups of 7 How many groups will there be 49 47 8 7 6

1 answer:

elena55 [62]2 years ago

6 0

the answer is 6 because 42 divided by 7 = 6

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Which of the following shows the factors of 5x2 + 17x + 6? A. (5x + 1)(x + 6) B. (5x + 2)(x + 3) C. (5x + 3)(x + 2) D. (5x + 6)(

zysi [14]

Answer:

B. $(x+3)(5x+2)$

Step-by-step explanation:

The given quadratic trinomial is;

$5x^2+17x+6$

Comparing this to $ax^2+bx+c$ , we have a=5,b=17,c=6.

$ac=5\times6=30$

Two factors of 30 that add up to 17 is 15 and 2.

We split the middle term to obtain;

$5x^2+15x+2x+6$

We factor by grouping;

$5x(x+3)+2(x+3)$

Factor further

$(x+3)(5x+2)$

The correct answer is B.

5 0

2 years ago

Read 2 more answers

The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of thr

cluponka [151]

Answer:

The correct answer is:

$\lambda=0.375 \ jobs \ per \ hour$
$\mu=0.5 \ jobs \ per \ hour$

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

= $\frac{8 \ hours}{3 \ jobs}$

= $2.666 \ hours \ per \ job$

The jobs per hour will be:

⇒ $\lambda=\frac{1}{2.666}$

$=0.375$

(b)

⇒ Service rate = jobs per hour

then,

μ = $\frac{1 \ repair \ job}{2 \ hours}$

= $0.5 \ jobs$

7 0

2 years ago

at tennis practice, tim practices his backhand and his serve at least 2 hours each day. He works less on his backhand than his s

earnstyle [38]

For the answer to the question above, Tim practices his backhand and his serve at least 2 hours each day this means X =< 2 ( less than or equal to 2 hrs). He works less on his backhand than his serve and practices his serve more than an hour daily. <span>Y < 1</span>

3 0

2 years ago

Find the angle between the given vector in degrees. u=<6, 4>, v=<7, 5> HELPPPPPPPPPP

Paladinen [302]

Recall that

$\vec a\cdot\vec b=\|\vec a\|\|\vec b\|\cos\theta$

where $\theta$ is the angle between the vectors $\vec a,\vec b$ whose magnitudes are $\|\vec a\|,\|\vec b\|$ , respectively.

We have

$\langle6,4\rangle\cdot\langle7,5\rangle=\sqrt{6^2+4^2}\sqrt{7^2+5^2}\cos\theta$

$\cos\theta=\dfrac{31}{\sqrt{962}}\implies\theta\approx88.2^\circ$

7 0

2 years ago

State the range of the graph and explain what the graph represents.

Eva8 [605]

Answer:

The range of the graph is [-10, 10]

Step-by-step explanation:

This represents how the y-values of the graph range from -10 to 10.

Because there are no arrow marks on the ends of the graph, we know that the graph stops there at -10 and 10 and doesn't go beyond that.

3 0

2 years ago