find the term to term rules for the following sequences. 28 25 22 19 16 .​

Answer:

y = -5x + 12

Step-by-step explanation:

slope intercept form is where you simplify it and get the y by itself, so:

[tex]y-2 = -5(x-2)\\y-2 = -5x+10\\y = -5x+ 12[/tex]

Answer:

C & D

Step-by-step explanation:

Answer:

187

Step-by-step explanation:

1870/210=187

Also / means divide

Answer:

-9/5 is the slope

Step-by-step explanation:

5-(-4)=9

1-6=-5

Answer:

m = 21

Step-by-step explanation:

5m = 105

5m ÷ 5 = 105 ÷ 5

m = 21

Answer:

81 is the scale of drawing.

Step-by-step explanation:

Area of the house in drawing = A =

Let the factor by which scaling is present in the drawing be s.

Area of the house in reality = A' =

Answer:

there are 2 ways:

[tex]\frac{12}{102}[/tex] ?= [tex]\frac{18}{153}[/tex]

1) try to simplify

[tex]\frac{12}{102}[/tex] (divide the numerator and denominator by 6) ?= [tex]\frac{18}{153}[/tex] (divide the numerator and denominator by 9)

2/17 = 2/17 so yes they are equivalent

2) use cross products

102x18 ?= 12x153

 1836 = 1836 so yes they are equivalent

Answer:

Step-by-step explanation:

1. (a + b)2 = a2 + 2ab + b2; a2 + b2 = (a + b)2 − 2ab

2. (a − b)2 = a2 − 2ab + b2; a2 + b2 = (a − b)2 + 2ab

3. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)

4. (a + b)3 = a3 + b3 + 3ab(a + b); a3 + b3 = (a + b)3 − 3ab(a + b)

5. (a − b)3 = a3 − b3 − 3ab(a − b); a3 − b3 = (a − b)3 + 3ab(a − b)

6. a2 − b2 = (a + b)(a − b)

7. a3 − b3 = (a − b)(a2 + ab + b2)

8. a3 + b3 = (a + b)(a2 − ab + b2)

9. an − bn = (a − b)(an−1 + an−2b + an−3b2 + ··· + bn−1)

10. an = a.a.a . . . n times

11. am.an = am+n

12. am

an = am−n if m>n

= 1 if m = n

= 1

an−m if m<n; a ∈ R, a 6= 0

13. (am)n = amn = (an)m

14. (ab)n = an.bn

15. a

b

n

= an

bn

16. a0 = 1 where a ∈ R, a 6= 0

17. a−n = 1

an , an = 1

a−n

18. ap/q = √q ap

19. If am = an and a 6= ±1, a 6= 0 then m = n

20. If an = bn where n 6= 0, then a = ±b

21. If √x, √y are quadratic surds and if a + √x = √y, then a = 0 and x = y

22. If √x, √y are quadratic surds and if a+ √x = b+ √y then a = b and x = y

23. If a, m, n are positive real numbers and a 6= 1, then loga mn = loga m+loga n

24. If a, m, n are positive real numbers, a 6= 1, then loga

m

n

= loga m−loga n

25. If a and m are positive real numbers, a 6= 1 then loga mn = n loga m

26. If a, b and k are positive real numbers, b 6= 1, k 6= 1, then logb a = logk a

logk b

27. logb a = 1

loga b where a, b are positive real numbers, a 6= 1, b 6= 1

28. if a, m, n are positive real numbers, a 6= 1 and if loga m = loga n, then

m = n

Answer:

Option A : The system has two solutions, and both are viable because they result in positive values of time.

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

The system has two solutions, and both are viable because they result in positive values of time.

Answer:

3.9 in^2

Step-by-step explanation:

Split it up into a top rectangle and a bottom rectangle. Find the area of the top rectangle and subtract the combined area of the two quarter circles.

The area of the rectangle is 6  * 3 = 18. The area of the two quarter circles is the same as the area of one semicircle, and since the radius is 3 you can do:

3^2 * pi / 2 = 9pi/2. As a decimal this would be: 14.14.

Then, you can do rectangle - circle = 18 - 14.14 = 3.86. Rounded to the nearest tenth, this is 3.9

Answer:

Mean 16.75

Median  15.5

Mode 13

Step-by-step explanation:

This is what I got .____.

Answer:

[tex] \frac{3}{4} \times \frac{5}{6} [/tex]

[tex] \frac{3 \times 5}{4 \times 6} [/tex]

[tex] \frac{15}{24} [/tex]

[tex] \frac{5}{8} [/tex]

Answer:

5/8

Step-by-step explanation:

Sorry for the messy handwriting.

Hope this helps! Have a great day!

Answer:

1. 40

2. -25

Step-by-step explanation:

I'm sure this is the answer

Answer:

q = 114

Step-by-step explanation:

q/19 > 5

q > 19 * 5 = 95

==> q = 114 works

Answer:

rrerer

Step-by-step explanation:erewqwdqwdqd noo hlp me

Answer:

The first and last one!!

Step-by-step explanation:

Was it correct?? Hope this helps!!(¬_¬ )

Answer:

67 monedas de 5, 34 de 10 y 11 de 25.

Step-by-step explanation:

Representemos el primer enunciado de manera algebraica:

[tex]5x+10y+25z =950[/tex]  (1)

Donde:

Ahora, el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos, se puede representar como:

[tex]y=3z[/tex]  (2)              

[tex]x=2y[/tex]  (3)    

Combinado las eacuaciones (1), (2) y (3) tenemos:

[tex]5(2y)+10y+25(\frac{y}{3}) =950[/tex]

[tex]10y+10y+\frac{25}{3}y =950[/tex]

[tex]\frac{85}{3}y =950[/tex]  

[tex]y =34[/tex]

Por lo tanto el valor de x y z seran:

[tex]x=2(34)[/tex]          

[tex]x=68[/tex]          

[tex]z=11[/tex]    

Si ponemos cada valor en la equacion (1), tenemos:

[tex]5(68)+10(34)+25(11) =955[/tex]

Como el resultado da 955 hay un excedente de 5 pesos, asi que finalmente tendremos.

x = 67

y = 34

z = 11  

Espero te haya serrvido!

Answer:

1

Hope this helps!!!!

Answer:

Step-by-step explanation:

From the first image attached below, we will see the sketch of the curve x = y² & x = 2y

In the picture connected underneath, the concealed locale(shaded region) is bounded by the given curves. Now, we discover the marks of the crossing point of the curves. These curves will cross, when:

[tex]y^2 =2 y \\ \\ or y^2 -2y = 0 \\ \\ y(y-2) = 0 \\ \\ y = 0 \ \ or \ \ y = 2[/tex]

Thus, the shaded region fall within the interval 0 ≤ y ≤ 2

Now, from the subsequent picture appended we sketch the solid acquired by turning the concealed region about the y-axis.

For the cross-sectional area of the washer:

[tex]A (y) = \pi (outer \ radius)^2 - \pi ( inner \ radius )^2 \\ \\ A(y) = \pi (2y^)2- \pi (y^)^2 \\ \\ A(y) = 4 \pi y^2 - \pi y^4 \\ \\ A(y) = \pi( 4 y^2 -y^4)[/tex]

Finally, the volume of (solid) is:

[tex]V = \int^2_0 A(y) \ dy \\ \\ V = \int^2_0 \pi (4y^2 -y^4) \ dy \\ \\ V = \pi \int^2_0 (4y^2 -y^4) \ dy \\ \\ V = \pi \Big[\dfrac{4}{3}y^3 - \dfrac{y^5}{5} \big ] ^2_0 \\ \\ V = \pi \Big [ \dfrac{4}{3}(2)^3-\dfrac{2^3}{5} \Big ] \\ \\ V = \dfrac{64}{15}\pi \\ \\ V = (4.27 ) \pi[/tex]

Answer:

8 × (1/2)²

8 × 0.25

2 Answer!

Hope this helps, thank you :) !!

Answer:

Step-by-step explanation:

The answer is : 2

Simplify

I added image with explation! Hope this helps!

Answer:It's the last option again. You have 1 linear factor (3x) and 2 copies of a quadratic factor (x² + 10), and the partial fractions with the quadratic factor need to have a linear polynomial in the numerator.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

edge 2021

Answer:

y=x-4

Step-by-step explanation:

Answer:

P'(4,4)

Step-by-step explanation:

P(8,-3) T(x,y) = (x-4, y+7)

P'(8-4,-3+7)=P'(4,4)

Answer:

(y-9)(2y^2 +9)

Answer:

$9.90

Step-by-step explanation:

$2.97 divided by 3 equal 0.99 cents

0.99 multiplied by 10 equal 9.90

Answer:

The area is 113.1

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

Answer:

a= x= 3, -1

b= x=1

c= (1, -8)

Step-by-by-step explanation:

For the show your work, you have to create the graph of the parabola. (attached image)

Answer: sphere

Step-by-step explanation:

Answer:

Sphere

Step-by-step explanation:

The formula given is the formula for volume of a sphere, where 'r' is the radius of the sphere.

The formula for volume of a sphere is the only formula with '4/3' in it, compared to the other option choices given.

Hope this helps.

Answer:

Yes.

Step-by-step explanation: