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2 years ago

A number t multiplied by -4 is at least - 2/4

Mathematics

1 answer:

iris [78.8K]2 years ago

5 0

-4t> -2/4
Turn sign because dividing negative
4t<-1/2
-4/2
T<-2
—

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1. A multi-cab starter motor has a current of 60.0 A and a voltage of 12 V. What is

Marrrta [24]

Answer: 0.20 Ω

Step-by-step explanation:

From the question, we are informed that a multi-cab starter motor has a current of 60.0 A and a voltage of 12 V. The resistance of the starter motor will be calculated thus:

Current (I) = 60.0A

Voltage (V) = 12V

Resistance = Unknown

Since Voltage = Current × Resistance

Therefore, Resistance = Voltage / Current

= 12/60

= 0.20 Ω

The resistance of the motor is 0.20 Ω

3 0

2 years ago

Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. Check your answer by noting that the curve is

Reptile [31]

Answer:

$4\sqrt{17}$

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

$\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^{2} } } \, dx$

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

$\int\limits^3_{-1} {\sqrt{1+4^{2}} } \, dx=\sqrt{17} *(3-(-1))=4\sqrt{17}$

Now, using the distance formula we have:

$d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }$

$y(-1)=4*(-1)-5=-9 \\y(3)=4*(3)-5=7$

So we have two points (-1, -9) and (3, 7) so:

$d=\sqrt{(3-(-1))^{2} +(7-(-9))^{2} }=4\sqrt{17}$

Notice both equations gave the same length $4\sqrt{17}$ .

5 0

3 years ago

Option D) 56.5<br> Please he I need to pass this unit test

galina1969 [7]

The formula is s = r * angle
Angle must be in RADIANS for the formula. Since the picture gives 135 degrees you either convert in the formula by adding the conversion factor, (s = r * angle * pi/180) or knowing that 135 degrees is 3pi/4.
s = 6 * 3* 3.14/4
s = 14.1

4 0

2 years ago

Round to the nearest thousand, 5870

andrew11 [14]

Answer: 5870 rounded to the nearest thousand is 6000

Step-by-step explanation:

Remember, when we round we have to be careful with the place value they are asking you to round to. Here, they want you to round to the thousands place. So, you have to look at the hundreds.

5870. 800 is the hundreds, and it is greater than “5”. So, you round to the next thousands. It happens to be 6000.

<em>Hence, 5870 rounded is 6000.</em>

4 0

2 years ago

What is y+11= -7/9 (x-18)?

scoray [572]

Answer:

y=2.2

Step-by-step explanation: Hope this helps you out!!

6 0

2 years ago