Convert 3.5×104 to standard form

Answer:

Step-by-step explanation:

Geometric sequences have a common ratio between terms.  TRUE

Geometric sequences are restricted to the domain of natural numbers.  FALSE

Geometric sequences can have a first term of 0.  FALSE.  If this were true, then every member the sequence would also be 0.

The correct statements are,

Geometric sequences have a common ratio between terms.

A geometric series is one which has a constant ratio between successive terms.

Learn more about the Geometric sequences here:

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Answer:

-30

Step-by-step explanation:

I'm assuming the equation is [tex]4m-n[/tex]. If it is not please tell me.

If we know the values of m and n, we can just substitute inside the expression.

[tex]4(-7) - 2\\\\-28 - 2\\\\-30[/tex]

Hope this helped!

Answer:

the 25 -75 because the baby is closer to 25 but still has plenty of room

The car seat appropriate for a child 33-lb will be shown by the inequality 25 < Child seat < 75. The inequality for a child up to and including 26 lb will be written as Child ≤ 26.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that a family is comparing different car seats. One car seat is designed for a child up to and including 26 lb. Another car seat is designed for a child between 18 lb and 40 lb. A third car seat is designed for a child between 25 lb and 75 ​lb.

A car seat appropriate for a ​33-lb ​child will come under the seat which is designed for a child between 25 lb to 75 lb.

The inequality for a child up to and including 26 lb will come under a car seat is designed for a child up to and including 26 lb. The inequality can be written as Child ≤ 26.

Therefore, the car seat appropriate for a child 33-lb will be shown by the inequality 25 < Child seat < 75.

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Answer:

[tex]x \leqslant 2[/tex]

Step-by-step explanation:

The point is shaded which means its is equal to and since the arrow goes to the left it is less than. Therefore x is less than or equal to 2

Answer:

Solution: y - 4 = 1 / 12(x + 4)² or Option B

Step-by-step explanation:

Since the directrix is vertical, use the equation of a parabola that opens up or down -

(x - h)² = 4p(y - k)

Remember that the vertex, (h, k) is halfway between the directrix and focus. Therefore we can find the  y  coordinate of the vertex using the formula y = y coordinate of focus + directrix / 2.The  x -coordinate will be the same as the  x  coordinate of the focus.

Vertex: (- 4, 7 + 1 / 2) = (- 4,4)

Now we can find the distance from the focus to the vertex. The distance  from the vertex to the directrix is  represented by | p |. We can subtract the  y  coordinate of the vertex from the  y -coordinate of the focus to find  p.

p = 7 - 4 = 3

Substitute the known values for these variables into the given equation (x - h)² = 4p(y - k) to get our solution.

(x + 4)² = 4(3)(y - 4),

(x + 4)² = 12(y - 4)

1 / 12(x + 4)² = y - 4

y - 4 = 1 / 12(x + 4)² ~ As you can see your solution is option b.

Answer:

12

Step-by-step explanation:

84÷7=12

you can check by multiplying 12x7=84

12

×7

84.

Answer:all you do is divide 84 by 7 which is the answer you should get is 12

Answer:

The answer is 92.14

Step-by-step explanation:

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

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

aₙ = a₁ + (n-1)d

8a₈ = 12a₁₂

Hey there! I'm happy to help!

Let's represent our number of quarters with q and our dimes with d. We know that each q has a value of 0.25, and each d has a value of 0.1. This means that 0.25q+0.1d=1.85. We also know that q+d=11 as there are 11 total coins.

Here is our system of equations.

0.25q+0.1d=1.85

q+d=11

We are asked to solve with elimination. To do this, we need combine the equations to cancel out a variable to solve for the other. We have 1d on the bottom. Let's multiply the entire top equation by -10 to get a -1d on the top so we can do this.

-2.5q-d=-18.5

q+d=11

We combine the equations.

-1.5q=-7.5

We divide both sides by -1.5

q=5

Since there are 11 coins in total, this means that there are 5 quarters and 6 dimes.

Have a wonderful day!

Answer:

9) y>0 or y<−14 10) Each artwork sold for $34.4

Step-by-step explanation:

#9 is fairly easy, just plug in a calc and pull out ans.

#10 so he needs to make $300 + $44 in total to recover everything as he wants $300 more in profit. set up the equation:

$300 (Profit) + $44 (Initial) = 10 ( # of paintings) x (how much to be sold for

Answer:

45 miles.

Step-by-step explanation:

Given that the:

Total distance covered = 390 miles

Total time = 8 hours

Let the distance covered along the local way = L

And the distance covered along the highway = H

Along with local way,

Speed = distance/ time

20 = L / T

T = L /20 .... (1)

Along the highway,

Distance covered H = 390 - L

Let the time = t

Speed = distance/time

60 = (390 - L)/t

t = ( 390 - L)/60

But total time = T + t

That is

8 = L/20 + (390 - L)/60

The LCM at right hand side will be 60

8 = ( 3L + 390 - L )/60

Cross multiply

480 = 2L + 390

Collect the like terms

2L = 480 - 390

2L = 90

L = 90/2

L = 45 miles.

Therefore, the distance Minato drive along local roads is 45 miles

Answer:

v = 180

Step-by-step explanation:

324 = 144 + v

v = 324 - 144

v = 180

Answer:

v = 180

Step-by-step explanation:

The equation is basically 324 = 144 + v

Then you just solve the equation:

324 = 144 + v

-144 = -144

180 = v

Hope this is what you were looking for.

[tex]\sqrt{3}\approx1.3[/tex]

[tex]\sqrt{9}=3[/tex].

Put first on about 1 and a third and second on exactly 3.

Hope this helps.

Answer:

14 3/8 pounds

Step-by-step explanation:

6 pounds plus 8 pounds= 14 pounds. 1/4 + 1/8= 3/8. 1/4 can be turned into 2/8, and 2/8 plus 1/8 equals 3/8. Hope this helps :)

Answer:

the answer is 7.1

Step-by-step explanation:

the tenth is the first number after the decimal point.

Answer: Factor the numerator and denominator and cancel the common factors.

7x/6+5/6

Step-by-step explanation:

Answer:

a- 5 x 5

b- 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

c- 9 x 9 x 9 x 9 x 9

Step-by-step explanation:

the index represents how many times the number is to be multiplied.

5² = 5 x 5 = 25

6⁸ = 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 = 1679616

9⁵ = 9 x 9 x 9 x 9 x 9 = 59049

（＾▽＾）

Answer:

x=1.5

Step-by-step explanation:

We are trying to get x  by itself to see what it equals.

6(2x+3)=36

So first you want to distribute you proprieties.  You do that by multiplying 6 and 2x.  Then multiplying 6 and 3.

12x+18=36

Now in equations where you need to find the variable, whatever you  do on one side of the equal sign, you have to do on the other side.  So now we want to subtract 18 from both sides.

12x+18=36

     -18  -18

Then we divide 12 from both sides.

12x=18

÷12   ÷12

Now you have your answer!

x=1.5

Answer:

The correct answer is x = -2.

Step-by-step explanation:

To solve this equation, we must remember that it is our end goal to get the variable x alone on one side of the equation.

To do this, our first step should be to add 12 to both sides of the equation to cancel the -12 on the right side.  This is modeled below:

-14 + 12 = x - 12 + 12

If we add together the like terms to simplify, we get:

-2 =x

This is our answer. To check that our answer is correct, we can plug in the value we obtained for x back into the original equation.

-14 = x - 12

-14 = -2 - 12

-14 = -14

Since plugging in our value for x yielded a true statement, we can conclude that our answer is correct.

Hope this helps!

Answer:

152

Step-by-step explanation:

Multiply 19 and 8

Answer:

hi......

.

........

........

El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañera rosabel, le toma 9 horas en realizar la misma tarea. Si ambas trabajan juntas para hacer todo el trabajo d ela oficina,

a. Cuánto tiempo le tomará a ambas realizar el trabajo?

Answer:

3.6 horas

Step-by-step explanation:

Sea el número total de horas que ambos trabajaron = T

Deje que la cantidad total de letras por las que pasaron = 1

De la pregunta, se nos dice:

Lourdes necesitó 6 horas para revisar las cartas.

Esto significa que, cada 1 hora, Lourdes revisaba 1/6 de las letras

Rosabel tardó 9 horas en leer las letras.

Esto significa que, cada 1 hora, Rosabel revisó 1/9 de las letras

Por lo tanto,

(1/6 × 1) T + (1/9 × 1) T = 1

(1/6 + 1/9) T = 1

(3 + 2/18) T = 1

(18/5) T = 1

5T / 18 = 1

Cruz multiplicar

5T = 18

T = 18/5

T = 3.6 horas

Por lo tanto, les tomó a ambas 3.6 horas hacer el trabajo.

Answer:

m = -3/2

Step-by-step explanation:

The slope of a line is equivalent to the formula:

m = slope = rise/run = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Given the two coordinate pairs, we can label them accordingly.

In math, coordinate pairs are set up in a way that the x-coordinate is given first and the y-coordinate is given second.

Therefore, with this information, we can label the coordinate pairs with this info.

[tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is the default labeling system for two coordinate pairs.

Then, we can use this information to label our coordinate pairs, place them into the slope formula, and solve for m.

[tex]m=\frac{-1-5}{8-4}\\\\m = \frac{-6}{4}\\\\\boxed{m=-\frac{3}{2}}[/tex]

Answer:

it would be -3x-6

Step-by-step explanation:

if you distribute right you will change the two and the positive change into a negative and the last one x is not by itself plus it only change to one

Answer:  see proof below

Step-by-step explanation:

Use the Sum/Difference Identity: tan (A + B) = (tanA + tanB)/(*1 - tanA · tanB)

Scratchwork:

tan (50) = tan (40 + 10)

             [tex]= \dfrac{\tan 40+\tan 10}{1-\tan 40\cdot \tan 10}[/tex]

tan 50 (1 - tan 40 · tan 10) = tan 40 + tan 10

tan 50 - tan 50 · tan 40 · tan 10 = tan 40 + tan 10

tan 50 = tan 40 + tan 10 + tan 50 · tan 40 · tan 10

Use the Reciprocal Identity: cot A = 1/ tan --> cot A · tan A = 1

Proof LHS → RHS

LHS:                           tan 50    - tan 40

Substitute tan 50:     tan 40 + tan 10 + (tan 50 · tan 40) · tan 10     - tan 40

Simplify:                     tan 10 + (tan 50 · tan 40) · tan 10

Reciprocal Identity:   tan 10 + tan 10

Simplify:                    2 tan 10

LHS = RHS:  2 tan 10 = 2 tan 10    [tex]\checkmark[/tex]

Answer:

m = n-1

Step-by-step explanation:

2^m + 2^m = 2^n

Add on the left

2( 2^m) = 2 ^ n

2^1 ( 2^m) = 2^n

We know that a^b* a^c = a^ (b+c)

2^(1+m) =  2^n

The bases are the same so the exponents are the same

1+m = n

Solving for m

1+m-1 = n-1

m = n-1

Given :

2^m + 2^m = 2ⁿ

→ 2(2^m) = 2ⁿ

→ 2¹ × 2^m = 2ⁿ

→ 2^(1 + m) = 2ⁿ

As bases are equal, exponents are equal too.

→ 1 + m = n

→ m = n - 1

Answer:

6.5 * 10 ^5

Step-by-step explanation:

650,000

Scientific notation is of the form

a * 10 ^b where a is between 1 and less than 10

Move the decimal 5 places to the left

6.50000

5 becomes the exponent b,  since we moved it to the left, the exponent is positive

6.5 * 10 ^5

Answer:

the answer is:6.5times 10to the power of 5

Answer:

x = 5

Step-by-step explanation:

3/5x = 1/2x + 1/2

collect like terms =

3/5x - 1/2x = 1/2

6x - 5x/10 =

x/10 = 1/2

2x = 10

x = 5