Find the equation of a line perpendicular to -3x + 5y = -1 that contains the point (0, -5)

Answer:

Average speed in km / h = 2.7 km/h

Step-by-step explanation:

Given:

Total distance = 54,000 m

Total time = 72,000 sec

Find:

Average speed in km / h

Computation:

Average speed = Distance / Time

Average speed = 54,000 / 72,000

Average speed = 0.75 m/s

1 m/s = 3.6 km/h

So,

Average speed in km / h = 0.75 x 3.6

Average speed in km / h = 2.7 km/h

Answer:

Step-by-step explanation:

Amount of decrease = 82-60 = 22

percentage decrease = 22/82 ≅ 0.268 = 26.8%

Answer:

A = 3x^2 - 3

   ---------------

          2

Step-by-step explanation:

If the perimeter is 56 cm..

x - 1 + 3x + 3x + 1 = 56

7x = 56

x=8

The x - 1 side = 7

The 3x = 1 side - 25

The ex side = 24

The area of a triangle = base time height divided by 2.

So...

x-1 times 3x divided by 2 is your equation.

3x(x - 1) = 3x^2 - 3

A = 3x^2 - 3/2

Hope this is correct!!!

Answer:

Step-by-step explanation:

This would be -27/3 = -9

Answer:

Yes, because the regression equation is based on the random sample.

Step-by-step explanation:

A simple linear regression model that describes the relationship between X and Y takes the form

Yi= ∝ + βXi + εi or

Y i= U(y.x) + εi

where εi's are the random errors. The random errors εi's are assumed to be independent of Xi and normally distributed with E(εi)= 0 and Var (εi)= σ²(y.x) , a constant for all Xi. These assumptions imply that Yi also have a common variance σ²(y.x) ,  as the only random element in the is  εi.

The estimated regression line Y= a+ bX is also the predictor of Yi= ∝ + βXi+ εi

. That is Y^ can also be used to predict an individual value Y0 of Yi rather than a mean value, corresponding to the given X0. To draw the inferences about Y0 we need to know it mean and variance.

Answer:

x = 134/7

y = 69/7

Step-by-step explanation:

let the x or y have a same coefficient to have a better way to solve it

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

The number N whose forty percent is 240 is 600, or we say that 40% of 600 is 240

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we are specified that:

40% of N = 240

Since 40% of N is [tex]\dfrac{N}{100} \times 40[/tex], thus, we get

[tex]\dfrac{N}{100} \times 40 = 240[/tex] (as they both are same quantity, ie. 40% of N)

Now, solving it further to get value of N:

[tex]\dfrac{N}{100} \times 40 = 240\\\\\text{Multiplying 100 on both the sides}\\\\N \times 40 = 24000\\\\\text{Dividing both the sides by 40}\\\\N = 24000/40 = 600[/tex]

Thus,  40% of 600 is 240 or we say that the number N whose forty percent is 240 is 600

Learn more about percent here:

https://brainly.com/question/11549320

Answer:

Y = 6X-5

Step-by-step explanation:

substitute the value of slope and Y intercept in the standard equation Y = MX + B

where M is the slope and b is the y-intercept

Step-by-step explanation:

3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]

[tex]25 + 1 = r {}^{2} [/tex]

[tex]26 = r {}^{2} [/tex]

[tex]r = \sqrt{26} [/tex]

Now let find the sin, csc, and tan.

To find sin let use the formula

[tex] \frac{y}{r} [/tex]

[tex] \frac{1}{ \sqrt{26} } [/tex]

Rationalize the denominator

[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]

[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]

To find cosecant, it is the reciprocal of sin so it would be

[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]

To find tan, do

[tex] \frac{y}{x} [/tex]

Which is simply

[tex] \tan= \frac{1}{ - 5} [/tex]

4. Kennedi is correct since in the 2nd quadrant

The x value is negative, and the y value is positive.

Since sin is referred in trig as the y value, sin must be positive.

Answer:

use photo math it helps.......

Answer:

-1

Step-by-step explanation:

Let's simplify this equation one at a time using the order of operations:

|2 - 5| - (12÷4 - 1)^2

3 - (3 - 1)^2

3 - 2^2

3 - 4 = -1

Hope this helps!!

Answer:

d

Step-by-step explanation:

of course it is Charlie as he just walked 11.8 miles

Answer:

1/10

Step-by-step explanation:

(4/40)/ (4/4) = 1/10

Answer:

60

Step-by-step explanation:

because angles in a triangle =180

so if angle b and c are 60 angle a will be

a = 180- 60- 60

angle a =60°

Answer:

It would be .31 cents, I believe

Step-by-step explanation:

Just divide 31 by 100 and you'll get your answer.

:)

-34/7 is the exact form -4.857142 repeating

Answer:

4 option...... .......

Answer:

1 AM = 58 Degrees

9 AM = 76 Degrees

Difference of temperate between the times:

18 Degrees

Divide every hour that passes by the total difference of temperate, which the hours are: 2, 3, 4, 5, 6, 7, 8, 9

18 / 8 = 2.25

Which means, the rate of change in degrees per hour is 2.25 degrees.

Step-by-step explanation:

Answer:12

Step-by-step explanation:

Answer:

y = 4x -19

Step-by-step explanation:

y = 4x + b

first we add the point to the equation and then we solve for b

-3 = 4 ( 4 ) + b

-3 = 16 + b

     -16

-19 = b

Answer: Solution

A=πr2=π·302≈2827.43339

Step-by-step explanation:

Answer:

21 is the answer

a question arises how?? right

so, 3x+1

3×21+1

63+1

64

Answer:

a) 21

Step-by-step explanation:

Since, in the figure

64° = (3x+1)° [Vertically Opposite Angles]

=> (3x+1)° = 64°

=> 3x = 64° - 1° = 63°

[tex] => x = \frac{63}{3} [/tex]

=> x = 21 (Ans)

Answer:

solution

4%=260

100%=?

=(100x260)/4

=6500

Percentage of fans in the stadium who were teenagers = 4%

Number of teenagers in the match = 260

Let the total number of people at the stadium be x.

Which means :

[tex] =\tt 4\% \: \: of \: \: x = 260[/tex]

[tex] =\tt \frac{4}{100} \times x = 260[/tex]

[tex] =\tt \frac{4 \times x}{100} = 260 [/tex]

[tex] = \tt \frac{4x}{100} = 260[/tex]

[tex] = \tt4x = 260 \times 100 \\ \tt \: \: \: = 26000[/tex]

[tex] =\tt x = \frac{26000}{4} [/tex]

[tex]\color{plum} =\tt x = 6500[/tex]

▪︎Therefore, number of people at the stadium = 6500

Answer:

i think the answer is $3.45

Step-by-step explanation:

just had to divide the two numbers

Answer:

7% interest = $10000

13% interest = $20000

Step-by-step explanation:

Let the amount invested at 7% interest be x.

Let the amount invested at 13% interest be y.

Thus;

x + y = 30000 - - - (eq 1)

We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.

Thus;

0.07x + 0.13y = 0.11(30000)

Multiply through by 100 to get rid of the decimal;

7x + 13y = 0.11(30000 × 100).

7x + 13y = 330000 - - - (eq 2)

From eq 1, x = 30000 - y

Put this for x in eq 2 to get;

7(30000 - y) + 13y = 330000

210000 - 7y + 13y = 330000

6y = 330000 - 210000

6y = 120000

y = 120000/6

y = $20000

x = 30000 - 20000

x = $10000

Thus;

Amount invested at;

7% interest = $10000

13% interest = $20000

a=12 ft

Po=(0.25×π×a²)

Pc=a²+0.5×Po

Pc=a²+0.5×(0.25×π×a²)

Pc=a²×(1+0.5×0.25×π)

Pc=a²×(1+0.5×0.25×π)

Pc=144×(1+0.5×0.25×π)

Pc≈200.55 ft²

Answer:

D

Step-by-step explanation:

It says she spent $7.53 at the store and she bought (SOME) cereal for $3.67

so we have to find how much the 6 peaches cost. To find it out we are going to have to subtract the cereal she bought from $3.67 and the money she wasted total so its going to be D.