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4 years ago

In the expression 5a2 + 4x2 - 7a + 8y - 9 How many terms are there?

Mathematics

1 answer:

natta225 [31]4 years ago

5 0

Answer:

5 terms

Step-by-step explanation:

5a² is a term

4x² is a term

7a is a term

8y is a term

9 is a term

In total, there are 5 terms.

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A chemistry teacher needs to mix an acid solution for an experiment. how much hydrochloric acid needs to be mixed with 1500 mill

e-lub [12.9K]

1500 x 12% = 180mL
To get this answer, you have to multiply the 1500mL by 12% (0.12) and get 180. This means that 12% of your 1500mL solution will be 180mL of hydrochloric acid.

3 0

3 years ago

Angles B And W are supplementary. Angle B has a measure of (4x+16) .Angle W has a measure of 68 .what is the value of x

Yuri [45]

Answer:

Step-by-step explanation:

4x+16 + 68 = 180

4x + 84 = 180

4x = 96

x = 24

8 0

3 years ago

3=7(4-2u)-6u can you help

sp2606 [1]

Answer:

5/4

Step-by-step explanation:

, open the bracket

3=28-14u-6u

Collect like terms

3-28=-14u-6u

-25 =-20u

Divide both side by -20

u=-25/-20. Minus sign will cancel each other and reduce to the lowest term

u=5/4

3 0

4 years ago

Read 2 more answers

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra

Crank

Answer:

<u>Part 1:</u> Angle = 154.3°

<u>Part 2:</u> About 2.33 Rotations

Step-by-step explanation:

Part 1:

The arc length of a circle is given by the formula $s=r\theta$

Where

s is the arc length
r is the radius of the circle
$\theta$ is the angle

**The angle are in radians and we will use radian**

When smaller gear has made 1 complete rotations ( $2\pi$ radians), the arc length traveled is $s=r\theta\\s=(3)(2\pi)\\s=6\pi$

Now, what angle is swept by the larger circle when it travels $6\pi$ ? Put in $s=6\pi$ and r is 7 to find $\theta$ :

$s=r\theta\\6\pi=(7)\theta\\\theta= \frac{6\pi}{7}$

** Since $\pi$ radians is 180°, we plug in 180 into $\pi$ and find the degree measure:

$\frac{6\pi}{7}=\frac{6*180}{7}=154.3$

Angle = 154.3°

Part 2:

In one complete rotation of the larger gear, it travels a distance of:

$s=r\theta\\s=(7)(2\pi)\\s=14\pi$

We know that the smaller circle makes 1 rotation and travels $s=r\theta=(3)(2\pi)=6\pi$ , so in $14\pi$ distance, it makes:

Rotations = $\frac{14\pi}{6\pi}=\frac{14}{6}=2.33$

About 2.33 Rotations

4 0

3 years ago

Jack shoots a rocket upward from the ground. the height of the rocket is modeled by (x-2)^2=25. the time after launch is represe

Snezhnost [94]

Using a quadratic function, we have that:

a) The rocket reaches a maximum height of 25 units.

b) The rocket reaches it's highest point after 2 seconds.

c) The rocket will be back on the ground after 7 seconds.

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

For this problem, placing it in vertex form, the equation for the height h is given by:

h = -(x - 2)² + 25.

Hence the vertex is (2,25), which means that:

a) The rocket reaches a maximum height of 25 units.

b) The rocket reaches it's highest point after 2 seconds.

The rocket hits the ground when h = 0, hence:

-(x - 2)² + 25 = 0

(x - 2)² = 25

Applying the square root to both sides:

x - 2 = 5.

x = 7.

The rocket will be back on the ground after 7 seconds.

More can be learned about quadratic functions at brainly.com/question/24737967

#SPJ1

3 0

2 years ago