3 (a - 1) + 31 - 11a = 4 ( 2a + 3)

Answer:

The nth term is 27 - 30(n-1) or can be simplified to 57 - 30n.

Step-by-step explanation:

This is an arithmetic sequence (ie. each term equals the previous term with a constant value added (or subtracted from it)

T1 = 27

T2 = -3 = T1 - 30 = 27 - 30

T3 = -33 = T2 -30 = 27 -30 - 30=27-30X(2)

T4= -63 = T3 - 30 =27-30X(2)-30=27-30X(3)

In general, the nth term of this sequence:

S(n) = 27 - 30X(n-1)

Answer:

4/5 of a fruit bar

Step-by-step explanation:

Answer:Center =(-5,-7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

13 minutes

Step-by-step explanation:

The reason why it is 13 minutes is because you subtract 10:41 AM from 10:28 AM and you get 13 minutes.

Answer:

13

Step-by-step explanation:

41-28= 13

the hours don't change so you just need to subtract the minutes

Answer:

2, 3, 4 (up to down)

Step-by-step explanation:

Rational: can be terminating, repeating, in a fraction

Irrational: Not terminating (ending), doesn't repeat (o.33333....), and you can't put it in a fraction

Hope this helps!!

p.s. brainliest plz

Answer:72

Step-by-step explanation: greater than 50 ( 8x9=72 ) And 72 is a factor of 360, difference between my digits is 5 (72x5=360)

Step-by-step explanation:

for mixed number to a improper fraction you take the whole number and times that by the denominator and add the numeriator

for example

[tex]8 \frac{3}{8} [/tex]

8 x 8 = 64

64 + 3 = 67

and after you get your last number (67) you put that over your original denominator which is 8 so it would be

[tex] \frac{67}{8} [/tex]

for the improper to mixed you see how many times you denominator goes into your numerator

another example is

[tex] \frac{13}{7} [/tex]

7 goes into 13 twice so your whole number is 2 and you have a remaining 1 so it would look like

[tex]2 \frac{1}{7} [/tex]

Answer:

A) 9/4

B) 67/8

C) 17/6

D) 9/2

E) 16/3

F) 127/12

G) 37/4

H) 41/6

Q) Whole Number: 1 Fraction: 6/7

R) Whole Number: 4 Fraction: 1/2

S) Whole Number: 1 Fraction: 8/9

T) Whole Number: 2 Fraction: 1/3

U) Whole Number: 2 Fraction: 3/7

V) Whole Number: 3 Fraction: 1/3

W) I am not 100% sure for this one but I think it's right.

Mixed Number - Whole Number: 1 Fraction: 5/8

Improper fraction - 13/8

Step-by-step explanation:

With improper fractions the first thing that you want to do is multiply the whole number with the denominator (the number on the bottom of the fraction), then add the numerator (the number on the top of the fraction). You also want to keep the denominator the same in both fractions.

When working with converting mixed fractions into improper fractions it is kind of the opposite, but it is a little harder to explain. Let's take letter Q as an example. If you know that you cannot divide the numerator and the denominator in anyway to make a whole number, the whole number will become a one and the numerator is how many are left. so in this case the answer for Q would be 1 6/7, 1 being the whole number and 6 from 6+7=13. now let's look at letter R, you know you can divide 2 four times into 9, the whole number will be 4 and the fraction will be 1/2, 4x2+1=9. You can also double check that you did it right by turning it back into a improper fraction from the mixed number state by multiplying the denominator with the whole number, then adding the numerator. Hope that made sense, send me a DM if you need more help!

Answer:

[tex]6.7159[/tex]

Step-by-step explanation:

[tex]\mu=48.8\\n=35\\\bar{x}=53.8\\\sigma=4.4\\\alpha=1\%=0.01[/tex]

Null and alternative hypothesis :

[tex]H_0:\mu=48.8\\H_a:\mu>48.8[/tex]

Test statistic,

[tex]t=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]\Rightarrow t=\frac{53.8-48.8}{\frac{4.4}{\sqrt{35}}}[/tex]

[tex]\Rightarrow t=\frac{5\times 5.91}{4.4}[/tex]

[tex]\Rightarrow t=6.715[/tex]

Test statistic [tex]t=6.715[/tex]

[tex]P-[/tex]value [tex]=P(t>6.715)[/tex]

[tex]P-[/tex] value [tex]=0.0001[/tex]  by the p- table

Significance level [tex]0.01[/tex]

         [tex]p-[/tex]value [tex]<0.01[/tex]

  We reject [tex]H_0[/tex]

Answer:

the answer is c

Step-by-step explanation:

Answer:

El polinomio final es:

[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]

Step-by-step explanation:

Agrupemos los términos con las mismas variables:

[tex](\frac{2}{3}xy^{2}-\frac{1}{3}xy^{2})+(2x-5x)+\frac{2}{3}x^{2}y=[/tex]

Sumemos estos terminos:

[tex]=\frac{1}{3}xy^{2}-3x+\frac{2}{3}x^{2}y=[/tex]

Podemos ver que los tres terminos tienen x, asi que podemos factorizar x.

Por lo tanto el polinomio final es:

[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]

Espero te haya servido.

El resultado de simplificar  [tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex] es

[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]

El polinomio que queremos simplificar es

[tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex]

primero, recopilamos términos similares

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x[/tex]

luego simplificamos los términos similares. Es decir

Para el [tex]xy^2[/tex] términos:

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2=(\frac{2}{3}-\frac{1}{3})xy^2\\\\=(\frac{1}{3})xy^2=\frac{1}{3}xy^2[/tex]

y para el [tex]x[/tex] términos:

[tex]2x-5x=(2-5)x\\=(-3)x=-3x[/tex]

la [tex]x^2y[/tex] términos ya está simplificado. Así que déjalo así.

Este es el trabajo total:

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x\\\\=(\frac{2}{3}-\frac{1}{3})xy^2+\frac{2}{3}x^2y+(2-5)x\\\\=(\frac{1}{3})xy^2+\frac{2}{3}x^2y+(-3)x\\\\=\frac{1}{3}xy^2+\frac{2}{3}x^2y-3x[/tex]

Incluso podemos factorizar la respuesta final para obtener

[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]

Obtenga más información sobre la simplificación aquí: https://brainly.com/question/25014973

Step-by-step explanation:

Thanks, so cube root of 512 is 8 and reciprocal of 0.4 is 2.5 then:

8 : 2.5 / divide both by 2.5 to get:

3.2 : 1 that's my answer right?

The correct form of the ratio of cube root of 512: reciprocal of 0.4 is 3.2:1

It is a number y such that y to the power 3 is equal to x.

We have to find the ratio of cube root of 512 and the reciprocal of 0.4  which will be as follows

cube root of 512:  reciprocal of 0.4

8: 1/0.4

8=2.5

dividing by 2.5

3.2 : 1

Hence the ratio will be 3.2 :1 of cube root of 512 and the reciprocal of 0.4

Learn more about cube root at https://brainly.com/question/310302

#SPJ2

Answer:

7776pi cubic inches

Step-by-step explanation:

Answer:

The father is 42 years old and the son is 12 years old.

Step-by-step explanation:

Since three years ago the sum of the ages of father and his son was 48 years, and three years hence father's age will be three times that of his are his, to find the present ages of the father and his are his, the following calculations must be performed:

F + S = 48

F + 6 + S + 6 = 3S

34 + 14 = 48 /// 34 + 6 = 40 --- 14 + 6 = 20 (x 3 = 60)

38 + 10 = 48 /// 38 + 6 = 44 --- 10 + 6 = 16 (x 3 = 48)

40 + 8 = 48 /// 40 + 6 = 46 --- 8 + 6 = 14 (x 3 = 42)

39 + 9 = 48 /// 39 + 6 = 45 --- 9 + 6 = 15 (x 3 = 45)

39 + 3 = 42

9 + 3 = 12

Therefore, the father is 42 years old and the son is 12 years old.

Answer:

C. 61/pi/18

Step-by-step explanation:

I calculated logically

Answer:

98?

Step-by-step explanation:

9514 1404 393

Answer:

  103°

Step-by-step explanation:

The law of sines tells you ...

  sin(C)/c = sin(A)/a

  sin(C) = (c/a)sin(A)

  C = arcsin(c/a·sin(A)) = arcsin(37/19·sin(30°)) ≈ 180° -76.8° ≈ 103°

Obtuse angle C is about 103°.

Answer:

The answer is simply 49.

Step-by-step explanation:

196 ÷ 4 is why because their are 4 sides on a square if you divide it by 4 you get the answer 49. You're probably in like 3rd grade or smth this is so easy.

Answer:

for the solve and check:

[tex]2\frac{3}{8}+x=3\frac{1}{4} \\2\frac{3}{8}-2\frac{3}{8}+x=3\frac{1}{4}-2\frac{3}{8}\\\\x=3\frac{1}{4}-2\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

----------------------------------------------------

[tex]3\frac{3}{8}+x=4\frac{1}{4} \\3\frac{3}{8}-3\frac{3}{8}+x=4\frac{1}{4}-3\frac{3}{8}\\\\x=4\frac{1}{4}-3\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

for the second solve and check:

[tex]4\frac{3}{8}+x=5\frac{1}{4} \\4\frac{3}{8}-4\frac{3}{8}+x=5\frac{1}{4}-4\frac{3}{8}\\\\x=5\frac{1}{4}-4\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

----------------------------------------------------

[tex]5\frac{3}{8}+x=6\frac{1}{4} \\5\frac{3}{8}-5\frac{3}{8}+x=6\frac{1}{4}-5\frac{3}{8}\\\\x=6\frac{1}{4}-5\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

Answer:

Step-by-step explanation:

Green picture

x = 2.25 ft = 2 1/4 ft

we substitute 2 1/4 for x

x = 2 1/4 ft

3 3/4 ft + 2 1/4 ft  = 6 ft

6 ft = 6 ft

Since 6ft is equal to 6ft...

Blue picture

It is 2 1/4 ft long

we substitute 7/8 ft for x

since 2 1/4 ft is equal ...

Yellow picture

2 3/8 ft - 2 3/8 ft + x = 3 1/4 ft - 2 3/8 ft

x = 3 1/4 ft - 2 3/8 ft

x = 7/8 ft

Check

x = 7/8 ft

2 3/8 ft + 7/8 ft = 3 1/4 ft

3 3/8 ft - 3 3/8 ft + x = 4 1/4 ft - 3 3/8 ft

x= 4 1/4 ft - 3 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

3 3/8 ft + 7/8 ft = 4 1/4 ft

red picture

4 3/8 ft - 4 3/8 ft + x = 5 1/4 ft - 4 3/8 ft

x = 5 1/4 ft - 4 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

4 3/8 ft + 7/8 ft = 5 1/4 ft

Answer:

its not loading

Step-by-step explanation:

Answer:

≈ 0.52

Step-by-step explanation:

P( head ) = 2/3 , P( tail ) = 1/3

when a head is tossed ; Gambler A wins $1

when a tail is tossed : Gambler B wins $1

Determine the P( Gambler A wins the game ) if he starts with I dollars

Assuming I = $1

n = 5

p ( head ) = P( winning ) = 0.66

p( losing ) = 0.33

applying the conditional probability in Markov which is ;

Pₓ = pPₓ₊₁ + (1 - p) Pₓ₋₁

P( 1) = 0.66P₂ + 0.33P₀

resolving the above using with Markov probability

P( 1 ) = 0.51613

hence the probability of Gambler A winning the game if he starts with $1

≈ 0.52

Answer:

The correct answer is option C: (8, 14).

Step-by-step explanation:

The car's displacement in vector form can be found by subtracting the initial points from the final points.    

Initial: (x₁, y₁) = (-3, -5)

Final: (x₂, y₂) = (5, 9)          

For the x-coordinate, we have:  

[tex] d_{x} = x_{2} - x_{1} = 5 - (-3) = 8 [/tex]

And for the y-coordinate, we have:

[tex] d_{y} = y_{2} - y_{1} = 9 - (-5) = 14 [/tex]

The car's displacement in vector form is:

[tex] d = (d_{x}, d_{y}) = (8, 14) [/tex]  

Therefore, the correct answer is option C: (8, 14).

I hope it helps you!                        

Answer:

value for X

3x-4 =41

3x =41+4

3x =45

x =15

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

is the right answer

The area of the shaded region is 12 feet². The correct option is A.

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.

Given that the area of the outer rectangle above is 80feet². The area of the inner rectangle is 68feet². The area of the shaded region=area of the outer rectangle- the area of the inner rectangle.

The area of the shaded region=(80-68 )feet²

The area of the shaded region= 12feet²

Thus,  the area of the shaded region is 12feet².

Learn more about rectangles here:

https://brainly.com/question/23515075

#SPJ2

Answer: 14 units

Step-by-step explanation: