Find the equation of the line

Answer:

57327392393629324

Step-by-step explanation:

Answer:

it's 12 cuz 36 divided by 3 is 12

Answer:

the rest of the anglesss

Answer:

All together must be 180 but i dont know how to solve that

Answer:

5(km)/1(hr)

Step-by-step explanation:

You multiply the 30 minutes to make one hour, and with that, you also multiply the 2.5 kilometers to get 5. You multiply the 2.5 because we multiply both sides of an equation.

Uniform line movement.

We have that the data is:

Time (t) = 30 m = 0.5 h

Distance (d)= 2.5 km

Speed (v) = ?

Since it asks us for the speed in Km/h, we make a time conversion, from minutes to hours. Knowing that 1 hr = 60 minutes, then

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{30 \not{m}*\left(\frac{1 \ h}{60 \not{m})\right)=0.5 \ h } } \end{gathered}$}}\)

To calculate the speed, divide the distance by the time. We apply the following formula:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{Speed=\frac{Distance}{Time} } \end{gathered}$}}\)

We substitute our data in the formula and solve:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\frac{d}{t} } \end{gathered}$}}\)

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\frac{2.5 \ km}{0.5 \ h} } \end{gathered}$}}\)

\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=5 \ km/h} \end{gathered}$} }}\)

Answer:

Step-by-step explanation:

To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.

Let's apply the Luhn algorithm to the given credit card number:

Step 1: Starting from the rightmost digit, double every second digit

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|

Step 2: If the doubled value is greater than 9, add the digits of the result

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |

Step 3: Add up all the digits in the credit card number, including the check digit

5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61

Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.

61 is not divisible by 10, therefore the given credit card number is invalid.

Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

Answer: 54 cm^2

Step-by-step explanation:

The area of a triangle is base*height/2.

To find the missing side of this triangle we can use pythagorean theroem. Let the unknown side = x

15^2 = 12^2+x^2

225 = 144+x^2

x^2 = 81

x = 9

Area = BH/2

Area = 9*12/2

Area = 54 cm^2

The critical value is 9.925, rounded to three decimal places.

To calculate the critical value for a 99.9% confidence level with a sample size of 4, we will use the t-distribution, since the population standard deviation is unknown.

The t-distribution is used when the sample size is small (usually n < 30) and the population standard deviation is unknown.

First, find the degrees of freedom (df) for the t-distribution, which is equal to the sample size (n) minus 1:

Next, we need to find the critical value (t) that corresponds to a 99.9% confidence level (or a 0.999 probability) and 3 degrees of freedom. We will look this up in a t-distribution table or use a t-distribution calculator.

Using a t-distribution calculator or table, the t-score corresponding to a 99.9% confidence level (two-tailed) and 3 degrees of freedom is approximately 9.925.

So, the critical value is 9.925, rounded to three decimal places.

Read more about confidence interval here:

https://brainly.com/question/15712887

#SPJ1

The solution to the inequality is x >= -2 for inequality 3x-5≥-11

The given inequality is 3x-5≥-11

Three times of x greater than or equal to minus eleven

x is the variable

3x - 5≥ -11:

Adding 5 to both sides, we get:

3x ≥ -6

Dividing both sides by 3, we get:

solution is  x≥-2

Therefore, the solution to the inequality is x >= -2.

To learn more on Inequalities click:

https://brainly.com/question/28823603

#SPJ1

Answer:

i think you have to take_16 to the right side.

Answer:

50

Step-by-step explanation:

bc 150/6 is 25 and since u said 2 numbers it'll be 50

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

We can see that the dot plot is seen below.

We can see here that An example of a graphical representation of data is a dot plot. It is a number line with dots above each value to indicate the frequency or count of that value.

Depending on the type of data being shown, the dots are often arranged either horizontally or vertically.

Dot plots are known to be useful for showing the distribution of data, particularly for small data sets.

Learn more about dot plot on https://brainly.com/question/15853311

#SPJ1

Answer:

7.5

Step-by-step explanation:

The actual fraction is 15/2, which is equivlent to 7.5

Im pretty sure its infinite solutions

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

For moresuch questions on equivalent visit:

https://brainly.com/question/2972832

#SPJ8

The missing statement is the quadratic formula and the correct option therefore is the third option;

The quadratic formula is used to find the solution of a quadratic equation. The quadratic formula is; \(x = \frac{-b\pm\sqrt{b^2-4\cdot a\cdot c} }{2\cdot a}\)

The statements and reasons can be presented algebraically as follows;

Statements \({}\)                                          Reasons

\(x^2+\frac{b}{a}\cdot x+(\frac{b}{2\cdot a} )^2 = -\frac{4\cdot a\cdot c}{4\cdot a^2}+ \frac{b^2}{4\cdot a^2}\)        Find a common denominator on the

                                                            right side of the equation

\(x^2 + \frac{b}{a} \cdot x+(\frac{b}{2\cdot a} )^2 = \frac{b^2-4\cdot a \cdot c}{4\cdot a^2}\)                 Add the fractions together on the

                                                     \({}\)        right side of the equation

\((x +\frac{b}{2\cdot a} )^2 = \frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2}\)                             Rewrite the perfect squared equation

                                                      \({}\)      to the left side of the equation as a

                                                        \({}\)    binomial squared

\(x + \frac{b}{2\cdot a} = \pm\sqrt{\frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2} }\)                   Take the square root of both sides of  the

                                                    \({}\) equation

\(\underline{x = \frac{-b\pm\sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}}\)                                 Simplify the right side of the equation    

The correct option is therefore;

Learn more on the quadratic formula here: https://brainly.com/question/29159682

#SPJ1

Answer:

A

Step-by-step explanation:

i took the test

have a great day :) .!

It is not necessary to remember the steps work fine in the negative exponent.

Given that,
To discuss that, Is it necessary to put the value in the reciprocal form of the negative exponent.

The function which is in format f(x) =a^x  where, a is constant and x is variable,  the domain of this exponential function  lies   (-∞, ∞).

here,
Assume a value,
1 / 10 whose exponent form is given as 10⁻¹,
The value of both the expression on the calculator is 0.1 nothing change.

Thus, It is not necessary to remember the steps work fine in the negative exponent.

Learn more about exponential function here:

brainly.com/question/15352175

#SPJ1

Answer:

2/3

Step-by-step explanation:

8+6=14

14/21=2/3

mark me brainliest please

Step-by-step explanation:

area of trapezium = 15× 12 + 1/2× 12× 5

= 180 + 30 = 210

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

The given series consists of prime numbers starting from 2. So, the missing term is the prime number after 11, which is 13.

So, None of the above will be the correct answer.

A×(B∩C)=(A×B)∩(A×C)

We have B∩C={1,2,3,4}∩{5,6}=ϕ

∴ L.H.S = A×(B∩C)=A×ϕ=ϕ

A×B={(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4)}

A×C={(1,5),(1,6),(2,5),(2,6)}

∴R.H.S.=(A×B)∩(A×C)=ϕ

∴L.H.S=R.H.S

Hence A×(B∩C)=(A×B)∩(A×C)

To verify: A×C is a subset of B×D

A×C={(1,5),(1,6),(2,5),(2,6)}

B×D={(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),

(3,8),(4,5),(4,6),(4,7),(4,8)}

which is 13.

Know more about Sets visit:

https://brainly.com/question/13458417

#SPJ4

Answer:

Infinatly many solutions

Step-by-step explanation:

mark me brainlyest

Answer:

i would say a or b but probably b

Step-by-step explanation:

The computation of the financial ratios is as follows:

a. Current ratio is 0.7:1.

b. Acid test is 0.5:1.

c. Average day’s collection is 45.6 days.

d. Asset turnover is 1.05.

e. Profit margin on sales is 25.25%.

Financial ratios result from the relative comparison of two numerical values extracted from an entity's financial statements.

For instance, the asset turnover ratio measures the ratio of total sales or revenue to average assets, to show the entity's effectiveness in using assets to generate sales revenue.

The two values that the asset turnover ratio compares originate from the income statement and the balance sheet.

Current assets $14,000

Net sales $40,000

Accounts receivable $5,000

Total assets $38,000

Current liabilities $20,000

Net income $10,100

Inventory $4,000

a. Current ratio = Current assets/Current liabilities

= 0.7:1 ($14,000/$20,000)

b. Acid test = Current assets - Inventory/Current liabilities

= 0.5:1 ($14,000 - $4,000/$20,000)

c. Average day’s collection = average accounts receivable/net credit sales x 365

= 45.6 days ($5,000/$40,000 x 365)

d. Asset turnover = Net Sales/Total Assets

= 1.05 ($40,000/$38,000)

e. Profit margin on sales = Net income/Net Sales x 100

= 25.25% ($10,100/$40,000 x 100)

Learn more about financial ratios at https://brainly.com/question/9091091

#SPJ1

Answer

37

Step by Step explanation

replace x with -7

which gives

-(-7)^2-10(-7)+16

= 37

Answer:

\(x > - 12\)

Step-by-step explanation:

\( - \frac{1}{2} x > 6 \\ \frac{ - \frac{1}{2} }{ - \frac{1}{2} } x > \frac{6} { - (\frac{ 1}{2} )} \\ x > 6 \times - \frac{2}{1}\)

Therefore:

\(x > - 12\)

The solution of the algebraic equation is n = (3-4c)/p

An algebraic equation or expression is any equation that contains unknown values, usually represented with alphabets or letter

Given: -np-5=4(c-2)​

-np-5 = 4(c-2)​

Expand the bracket:

-np-5 = 4c-8

Collect like terms:

-np = 4c-8+5

-np = 4c-3

Divide both sides by -p:

n = -(4c-3)/p

n = (-4c+3)/p = (3-4c)/p

Thus, the solution is n = (3-4c)/p

Learn more about algebraic expression on:

brainly.com/question/4344214

#SPJ1

P(t) = 6 ( 1.025 ) ^t

Let p(t) = 12 since the equation is given in billions

12 = 6 ( 1.025 ) ^t

Divide each side by 6

12/6 = 6/6 ( 1.025 ) ^t

2 = ( 1.025 ) ^t

Now take the natural log of each side

ln(2) = ln( ( 1.025 ) ^t)

Using the exponent rule ln( a^b) = b ln a

ln (2) = t ln ( 1.025)

Divide each side by ln(1.025)

ln (2) / ln(1.025) = t

28.01703= t

Rounding to the nearest year

28 years from the start

The start was 1995

1995+28 = 2023

The year would be 2023

Answer:

x=3

Step-by-step explanation:

step one: first, you want to make it so that the variable x is only on one side. to do this, you use inverse operations. this means adding 7x to both sides.

-2x+7x=5x    -7x+7x cancels itself out

the equation is now 5x+13=28

step two: next, you want to isolate the variable x. to do this you are going to use inverse operations yet again, this time subtracting 13 from both sides.

13-13=0       28-13=15

the equation is now 5x=15

step three: lastly, you want get x by itself without the 5 in front of it. using inverse operations for the last time, you are going to divide both sides by 5 because 5x means "5 times x" and division is the opposite of multiplication.

5x/5=x     15/5=3

the answer is now x=3

x= 3.

\(-2x + 13 = -7x + 28\)

\(-2x + 13 +7x= -7x + 28+7x\\ \\13+5x=28\)

\(-13+13+5x=28-13\\ \\5x=15\)

\(\frac{5x}{5}=\frac{15}{5} \\ \\x=\frac{15}{5}\\ \\x=3\)

If the result is correct, when we substitute the value of x in the original equation, it should return the same value on both sides of the equal (=) symbol. Let's test it!

\(-2(3 ) + 13 = -7(3) + 28\\ \\-6+13=-21+28\\ \\7=7\)

That's correct! Therefore, the correct answer is x=3.