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2 years ago

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Which of the following statements about 42xy – 49x + 30y – 35 are true? Check all of the boxes that apply. One of the factors is

(6y + 7). One of the factors is (7x + 5). One of the factors is (6y – 7). One of the factors is (7x – 5). This expression is prime.

1 answer:

kipiarov [429]2 years ago

3 0

Answer:

One of the factors is (7x + 5).

One of the factors is (6y – 7).

Step-by-step explanation:

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Caleb made the table below to show the number of hours he works and the amounts he earns over a four-week period. Caleb’s Earnin

Ganezh [65]

<h2>Answer:</h2>

The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.

<h2>Step-by-step explanation:</h2>

We know that the data points given by (x,y) are in direct variation if:

$\dfrac{y}{x}=k$ for each (x,y)

We are given data as:

Caleb’s Earnings Hours(x) 12 15 18 21

Earnings (in dollars)(y) 140 170 200 230

So, we could see the ratio as:

$\dfrac{140}{12}=\dfrac{35}{3}$

$\dfrac{170}{15}=\dfrac{34}{3}$

$\dfrac{200}{18}=\dfrac{100}{9}$

$\dfrac{230}{21}$

Hence, we could see that each ratio are not equal.

Hence, the relationship between the earnings and the number of hours does not represents a direct variation.

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2 years ago

Read 2 more answers

Ken’s predicted temperature for April is 7ºC. His prediction for May is 2ºC higher than April. He used the number line to solve

tia_tia [17]

Answer: Ken Should have moved 9 units to the right because his prediction for May is 9°C. Moving to the left part of the number line would take Ken into negative degrees. 9°C is warmer than 7°C. Therefore, Ken should have moved 9 units to the right of the number line instead of 2 units to the left.

Step-by-step explanation:

5 0

2 years ago

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The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillat

Greeley [361]

Answer:

1) $L \propto T^2$

Using the condition given:

$2.205 m = K (3)^2$

$K = 0.245 \approx \frac{g}{4\pi^2}$

So then if we want to create an equation we need to do this:

$L = K T^2$

With K a constant. For this case the period of a pendulumn is given by this general expression:

$T = 2\pi \sqrt{\frac{L}{g}}$

Where L is the length in m and g the gravity $g = 9.8 \frac{m}{s^2}$ .

2) $T = 2\pi \sqrt{\frac{L}{g}}$

If we square both sides of the equation we got:

$T^2 = 4 \pi^2 \frac{L}{g}$

And solving for L we got:

$L = \frac{g T^2}{4 \pi^2}$

Replacing we got:

$L =\frac{9.8 \frac{m}{s^2} (5s)^2}{4 \pi^2} = 6.206m$

3) $T = 2\pi \sqrt{\frac{0.98m}{9.8\frac{m}{s^2}}}= 1.987 s$

Step-by-step explanation:

Part 1

For this case we know the following info: The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillation), T seconds.

$L \propto T^2$

Using the condition given:

$2.205 m = K (3)^2$

$K = 0.245 \approx \frac{g}{4\pi^2}$

So then if we want to create an equation we need to do this:

$L = K T^2$

With K a constant. For this case the period of a pendulumn is given by this general expression:

$T = 2\pi \sqrt{\frac{L}{g}}$

Where L is the length in m and g the gravity $g = 9.8 \frac{m}{s^2}$ .

Part 2

For this case using the function in part a we got:

$T = 2\pi \sqrt{\frac{L}{g}}$

If we square both sides of the equation we got:

$T^2 = 4 \pi^2 \frac{L}{g}$

And solving for L we got:

$L = \frac{g T^2}{4 \pi^2}$

Replacing we got:

$L =\frac{9.8 \frac{m}{s^2} (5s)^2}{4 \pi^2} = 6.206m$

Part 3

For this case using the function in part a we got:

$T = 2\pi \sqrt{\frac{L}{g}}$

Replacing we got:

$T = 2\pi \sqrt{\frac{0.98m}{9.8\frac{m}{s^2}}}= 1.987 s$

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2 years ago

Sequence 1.5,3.9,6.3,8.7

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2 years ago

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Four brothers each bought two hotdogs and a bag of chips at the concession stand.if the bag of chips was $1.25,and the total was

ahrayia [7]

Answer:

$1.65

Step-by-step explanation:

The total purchase can be described by ...

4(2h +1.25) = 18.20 . . . . where h is the price of a hot dog

8h = 13.20 . . . . . . . . . . . subtract 5.00

h = 1.65 . . . . . divide by 8

The price of a hot dog was $1.65.

5 0

2 years ago