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3 years ago

Simplify: 6(1 + 5m) *

Mathematics

2 answers:

gogolik [260]3 years ago

8 0

Answer:

Step-by-step explanation:6+30m

6=-30m

Divide through by 30

6/30=-30/-30m

M=-1/5

charle [14.2K]3 years ago

6 0

Answer:

30m+6

Step-by-step explanation:

distibute the 6 to both

1x6=6 5mx6=30m

30m+6

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Solve. X^2+20x+100=50

choli [55]

1. You con solve the quadratic equation x^2+20x+100=50 by following the proccedure below:

2. Pass the number 50 from the right member to the left member. Then you obtain:

x^2+20x+100-50=0
 x^2+20x+50=0

3. Then, you must apply the quadratic equation, which is:

x=(-b±√(b^2-4ac))/2a

x^2+20x+50=0

a=1
b=20
c=50

4. Therefore, when you simplify, the result is:

-10±5√2 (It is the last option).

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3 years ago

A baseball player hits a ball at an angle of 52 degrees and at a height of 4.5 ft. if the ball's initial velocity after being hi

Dafna1 [17]

Answer:

$t\approx 5.865\,s$

Step-by-step explanation:

The motion equations that describe the ball are, respectively:

$x = \left[\left(152\,\frac{ft}{s} \right)\cdot \cos 52^{\circ} \right] \cdot t$

$y = 4.5\,ft + \left[\left(152\,\frac{ft}{s} \right)\cdot \sin 52^{\circ} \right] \cdot t - \frac{1}{2}\cdot \left(32.174\,\frac{ft}{s^{2}} \right) \cdot t^{2}$

The time required for the ball to hit the ground is computed from the second equation. That is to say:

$4.5\,ft + \left[\left(152\,\frac{ft}{s} \right)\cdot \sin 52^{\circ} \right] \cdot t - \frac{1}{2}\cdot \left(32.174\,\frac{m}{s^{2}} \right) \cdot t^{2} = 0$

Given that formula is a second-order polynomial, the roots of the equation are described below:

$t_{1}\approx 5.865\,s$ and $t_{2} \approx -0.048\,s$

Just the first root offers a realistic solution. Then, $t\approx 5.865\,s$ .

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3 years ago

You have a bag with 4 red marbles, 3 green marbles, 2 blue marbles, and 1 purple marble. Determining Probability What is the pro

mixer [17]

4/10 chance of grabbing red. purple

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3 years ago

Read 2 more answers

Two telephone calls come into a switchboard at random times in a fixed one-hour period. Assume that the calls are made independe

svp [43]

Answer:

0.25

Step-by-step explanation:

From the given information:

Since the times are uniform distributed over the one hour period (0,1):

Then;

$f_1(y_1) = 1$

$f_2(y_2) = 1$

So, $Y_1$ and $Y_2$ are independent; then:

$f(y_1|y_2) = f_1(y_1)f_2(y_2) \\ \\ = 1(1) = 1$

$P(Y_1\le 0.5 Y_2 \le 0.5) = \int ^{0.5}_{0} \int ^{0.5}_{0} f(y_1,y_2) dy_{2}dy_{1}$

$\implies \int ^{0.5}_{0} \int ^{0.5}_{0} (1) dy_{2}dy_{1}$

$= \dfrac{1}{4}$

= 0.25

3 0

2 years ago

Evaluate the expression 34 ÷ (14 − 5) × 2.

algol13

Answer:

$7\frac{5}{9}$

Step-by-step explanation:

Hi there!

We are given this expression:

34÷(14-5)×2

And we want to evaluate it

We'll be using the order of operations

Depending on the country you're in, the acronym can be different, but in the US, the typical acronym used for the order of operations is PEMDAS, or Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

The order of operations states that we should start with any expressions in parentheses

In this case, it's (14-5), which is equal to 9

The expression now becomes

34÷9×2

There are no exponents, so let's skip that

Now this is where it gets tricky:

Based on the acronym alone, we should be doing 9*2 next, however, we should always work left to right, even if in a case like this, we'll be doing division instead of multiplication

Divide 34 by 9

$\frac{34}{9}$ ×2

Now multiply $\frac{34}{9}$ by 2

$\frac{68}{9}$

(as a mixed fraction, it's 7 $\frac{5}{9}$ )

Hope this helps!

4 0

2 years ago