Find slope of a line perpendicular to each given

Naddik [55]

Answer:

3.3

Step-by-step explanation:

$= > \frac{4 \frac{2}{5} }{1 \frac{1}{3} } \\ \\ = > \frac{ \frac{20 + 2}{5} }{ \frac{3 + 1}{3} } \\ \\ = > \frac{ \frac{22}{5} }{ \frac{4}{3} } \\ \\ = > \frac{22}{5} \times \frac{3}{4} \\ \\ = > \frac{11}{5} \times \frac{3}{2} \\ \\ = > \frac{33}{10} \\ \\ = > 3.3$

6 0

3 years ago

Question 3 of 14

kobusy [5.1K]

Answer:

$\$84,000$

Step-by-step explanation:

Remember that

$6\%=6/100=0.06$

we know that

The amount the salesman would earn in a year must be equal to the base salary multiplied by 12 (number of months in a year) plus 6% of the amount sold in merchandise in a year

so

$4,000(12)+0.06(600,000)=\$84,000$

8 0

3 years ago

I need help finding the slope

MAVERICK [17]

Answer:

slope = 1/4

Step-by-step explanation:

To find the slope, I chose two points where the line intersected the graph at an exact point.

Points:

(0, -8)

(4, -7)

Slope is the measure of rise over run, so starting at (0, -8) I went up one and to the right 4 times.

To put this as a fraction, we would have: 1/4

The numerator and denominator are positive because we went up and to the right.

Therefore, the slope is 1/4.

4 0

3 years ago

Someone please help me with this question !!!!

Lyrx [107]

Answer:

34.3 in, 36.3 in

Step-by-step explanation:

From the question given above, the following data were obtained:

Hypothenus = 50 in

1st leg (L₁) = L

2nd leg (L₂) = 2 + L

Thus, we can obtain the value of L by using the pythagoras theory as follow:

Hypo² = L₁² + L₂²

50² = L² + (2 + L)²

2500 = L² + 4 + 4L + L²

2500 = 2L² + 4L + 4

Rearrange

2L² + 4L + 4 – 2500 = 0

2L² + 4L – 2496 = 0

Coefficient of L² (a) = 2

Coefficient of L (n) = 4

Constant (c) = –2496

L = –b ± √(b² – 4ac) / 2a

L = –4 ± √(4² – 4 × 2 × –2496) / 2 × 2

L = –4 ± √(16 + 19968) / 4

L = –4 ± √(19984) / 4

L = –4 ± 141.36 / 4

L = –4 + 141.36 / 4 or –4 – 141.36 / 4

L = 137.36/ 4 or –145.36 / 4

L = 34.3 or –36.3

Since measurement can not be negative, the value of L is 34.3 in

Finally, we shall determine the lengths of the legs of the right triangle. This is illustrated below:

1st leg (L₁) = L

L = 34.4

1st leg (L₁) = 34.3 in

2nd leg (L₂) = 2 + L

L = 34.4

2nd leg (L₂) = 2 + 34.3

2nd leg (L₂) = 36.3 in

Therefore, the lengths of the legs of the right triangle are 34.3 in, 36.3 in

5 0

3 years ago

A mold professional uses an antimicrobial chemical in an attic to combat a colony of mold. If the initial number of mold spores

kykrilka [37]

It would take about 57 hours for the number of spores to be less than 500 spores.

<h3>Exponential Function</h3>

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Let y is the number of pores after x hours.

a = 6200, b = 100% - 20% = 0.8, hence to be less than 500 spores:

$6200(0.8)^\frac{x}{5} < 500$

(x/5) * ln(0.8) < ln(0.08)

x > 56.4 hours

It would take about 57 hours for the number of spores to be less than 500 spores.

Find out more on Exponential Function at: brainly.com/question/12940982

4 0

2 years ago