Find the simple interest
$154.40 for 4 years at 8 1/2%

Answer:

1.) M=9,-9  2.) x=10,-10  3.) n=3,-3  4.) x=2,-2

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

Answer:

it might be x=63.27

Step-by-step explanation:

Answer:

18x^(2)+39x+15 over 3x+5 -----> 6x+3

35x^(2)-5x-30 over 5x-5 -------> 7x+6

15x^(2)-44x+21 over 5x-3 ------> 3x-7

Step-by-step explanation:

Plato Gang

Answer:

The critical value for a 99% confidence interval is T = 2.9768

Step-by-step explanation:

We have the standard deviation of the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 15 - 1 = 14

Critical value

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.9768

The critical value for a 99% confidence interval is T = 2.9768

Answer:

Step-by-step explanation:

║( - 5, 3 )║ = √34

Answer: here is your answer

Step-by-step explanation:

A= 16

B= -8

C= 6

D= -16

E= -4

Answer:

5.375

Step-by-step explanation:

Answer:

[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0[/tex]

Step-by-step explanation:

We want to write the trignometric expression:

[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0[/tex]

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

[tex]\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)[/tex]

Take the secant of both sides:

[tex]\displaystyle \sec(\theta)=\frac{u}{10}[/tex]

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

[tex]\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}[/tex]

By substitutition:

[tex]\displaystyle= \sin(2\theta)[/tex]

Using an double-angle identity:

[tex]=2\sin(\theta)\cos(\theta)[/tex]

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

[tex]\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)[/tex]

Simplify. Therefore:

[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0[/tex]

Answer:

Step-by-step explanation:

This is already solved, and this would not be considered a inequality since it has only a equal sign.

Answer:

67

Step-by-step explanation:

you divide the 48/17 yo get 67

Answer:

Los números son

7 y 8

Explicación paso a paso:

Si el número menor es "x"  , el mayor es "x + 1"

entonces

( x + 1 )² - x² = 15

x² + 2x + 1 -x² = 15

2x + 1 = 15

2x = 15 - 1

2x = 14

x = 14/2

x = 7  (  número menor )

x + 1  = 7 + 1

x + 1 = 8 ( número mayor )

69.82 i think

Step-by-step explanation:

First the area of a rectangle is bh, so 5 times 12 is 60. Then you have a semicircle which is half a circle, so it would be pi(radius)squared divided by 2. The diameter is 5 because it's five on the other side and rectangles have opposite sides congruent. Radius is 2.5 after dividing diameter by 2. 2.5 pi r squared is like 19.634 blah blah blah. Divide that by two and add 60 to get 69.82.

a) 640.32 cm^3

b) 98.4 cm^3

(3.14) × 2^2 × 12 = 150.72 cm^3

We need to find the height of the base so we use the Pythagorean theorem.

5^2 + x^2 = 14.1^2

25 + x^2 = 198.81

x^2 = 173.81

x = 13.184

After finding height, we can use the equation for a normal triangular prism:

[tex]\frac{1}{2}[/tex] × Base × Height × Length

[tex]\frac{1}{2}[/tex] × 13.184 × 10 × 12= 791.04cm^3

Total Volume: 791.04 - 150.72 = 640.32 cm^3

[tex]\frac{4}3[/tex] × 3.14 × 1^3 = [tex]\frac{314}{75}[/tex]cm^3

0.5([tex]\frac{4}3[/tex]× 3.14 × 3^3) = 56.52cm^3

5^2 = 3^2 + h^2

25 = 9 + h^2

16 = h^2

h = 4

(3.14) × 3^2 × [tex]\frac{4}{3}[/tex] = 37.68 cm^3

Total Volume = 98.4 after rounding

Answer:

71°

Step-by-step explanation:

The angle of elevation of the hill can be obtiaed using trigonometry :

Given

the opposite length = 14.5 feets

Adjacent = 5 feets

The angle of elevation vabnbe obtained using :

Tan θ = opposite / Adjacent

Where θ = angle of elevation

Tan θ = 14.5 / 5

Tan θ = 2.9

θ = tan^-1(2.9)

θ = 70.97 = 71°

Answer:

The asnwer to the system of equation

x=4 y=6

Step-by-step explanation:

Answer:  1) 8x=32       2) (4,6)

Step-by-step explanation:

Hope this helps!

Mark me brainliest!

Pls and ty!

Step-by-step explanation:

where is x in the question

Answer:

b. it cannot be ruled out that the type of fuel is an insignificant factor in determining speed.

Step-by-step explanation:

From the question :

Let the speed of each fuel be represented as ;

u1, u2, u3

The null hypothesis, H0 ;

H0 : u1 = u2 = u3

H0 is of the notion that fuel type is not a significant factor in determining speed

The alternative hypothesis, H1;

H1 : u1 ≠ u2 ≠ u3

The alternative is the opposite of the null, fuel type is a significant factor in determining speed

If after conducting the statistical test, the null hypothesis cannot be rejected ;

Then the conclusion will be ;

There is no significant evidence to conclude that the fuel type is a significant factor in determining speed ;

Hence, fuel fuel type remains an insignificant factor in determining speed.

Answer:

220

Step-by-step explanation:

Area of square=8*20=160

Area of triangle=(6*20)/2=60

160+60

Answer:

220 units²

I'm sure this is the answer!

9514 1404 393

Answer:

  720

Step-by-step explanation:

The LCM of these numbers will have every factor that is part of these numbers.

  16 = 2^4

  30 = 2 × 3 × 5

  36 = 2^2 × 3^2

So, the LCM will have factors of 2^4, 3^2, and 5:

  LCM(16, 30, 36) = 2^4 × 3^2 × 5 = 720

720 = 16×45 = 30×24 = 36×20

The least common multiple is 720.

Step-by-step explanation:

Angle b + 100 = 180 (angles on the same straight line)

[tex]b + 100 = 180 \\ b = 180 - 100 \\ = 80[/tex]

Angle c = Angle b (Vertically opposite angles)

= 80 deg

Answer:

1,-4

Step-by-step explanation:

formula for rotation of 270 is (x,y) to (y,-x)

Answer:

1.c

2.b

3.a

4.d

5.c

Step-by-step explanation:

please click the heart and rate excellent and brainleist to ☻❤☺️☺️❤☻

Answer:

The chances of landing on blue are 1 in 4, or one fourth. The chances of landing on red are 1 in 4, or one fourth. This problem asked us to find some probabilities involving a spinner.

Answer:

find how much the truck travels in,a litre

Answers,

1. 23

2. 79

3. 53

4. 26

5. 13

6. 11

How I did this,

What I did was subtract 8 from 31 to get ( e ) by itself.

This subject will get harder so I reccomend you focus on school and learn how to do this.

Answer

16/43

Step-by-step explanation:

17 Male + 27 female = 44 students

now n= 2 so first student was male so one male student was taken out of the equation so 16 male left. now left male students by remaining students  so now total left students = 43

so, prob = remaining males/remaining students=16/43