What number would be next in the sequence? .5, 1, 2, 4, ...

Answer:

I had the same problem on imagine math too. The answer for the first part is 120=48+6p. The answer for the second one is 12 Because 12 x 6=72 + 48 = 120.

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

This is a find the x equation!

4(x+9)=x+9

First we'll multiple the 4 into the paranthatsis

4x+36 = x +9

then we'll group the Xs together on one side, and the normal nubers (make sure to make sure the signs are right when moving them across the = sign)

3x=  -27

x = - 9

Answer:

B

Step-by-step explanation:

A translation does not change the dimensions or angles of the figure.

The only change is its position in the plane.

That is the new trapezoid is congruent to the original trapezoid.

The answer is 1

Step-by-step explanation:

look at the line going up and down

Answer: 1

Step-by-step explanation:

Answer:

4a + 7 = SIMPLIFIED

4a = -7

a= -1.75 ANSWER OF EXPONENT IF NEEDED

Answer:

10

Step-by-step explanation:

let the number be n then half the number is [tex]\frac{1}{2}[/tex] n , so

[tex]\frac{1}{2}[/tex] n + 69 = 74 ( subtract 69 from both sides )

[tex]\frac{1}{2}[/tex] n = 5 ( multiply both sides by 2 to clear the fraction )

n = 10

Thus the number is 10

Answer:  -30

Step-by-step explanation:  -c + 7x

-(2)+7(-4)

-2 -28 = -30

Answer:

D

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

=4 (5)+3 (3)×-2 I just swapped the alphabets into the given number

=20+9×-2 then you use the BODMAS method

=2

Answer:

Assume x is directly proportional to y :

[tex]y \: \alpha \: x \\ y = kx[/tex]

when y is 9, x is 2:

substitute to find value of k :

[tex]9 = (k \times 2) \\ k = \frac{9}{2} [/tex]

Therefore, equation is:

[tex]{ \boxed{ \boxed{2y = 9 x}}}[/tex]

Answer:

0

Step-by-step explanation:

hopefully the picture is visible and understandable.

:)

Answer:

$149.44

Step-by-step explanation:

If each orange cost $0.64, you first multiply 0.64 and 154 and you get $98.56. You then subtract that number from $248 and you get your answer.

Step-by-step explanation:

JL would be the total length

The Sum of JK and KL would be equal to the value of JL

4x + 3x = 42

Finding x

7x = 42

x = 42/7

x = 6

Hence,

Value of x is 6

Step-by-step explanation:

4x + 3x = 42

7x = 42

x = 42/7 = 6 answer

Answer:

C

Step-by-step explanation:

(x+3)(x+3) - 4x - 12 - 12

x² + 3x + 3x + 9 - 4x - 24

x² + 2x - 15

(x + 5) (x - 3)

Consider the expression (x+5)^2

It expands out to x^2+10x+25 which has 3 terms.

The original expression has k = 2 terms inside the parenthesis and n = 2 is the exponent.

We then see that n+(k-1) = 2+(2-1) = 3 and k-1 = 2-1 = 1 is applied to this nCr combination formula to count the number of terms. You should find the result is 3.

If you kept k = 2 the same, and bumped things up to n = 3, then you should get 4 terms when you apply that modified nCr formula. That means something like (x+5)^3 will have 4 terms after simplifying everything and combining like terms.

For binomials of the form (A+B)^n, there are n+1 terms.

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

This idea can be extended for k values that are larger than 2.

For problem 1, if n = 6 and k = 4, then we have

n+(k-1) = 6+(4-1) = 9

k-1 = 4-1 = 3

Then plugging those values into the formula you're given leads to 84. There are 84 terms in the expansion of (1+2x-7y+d)^6. Honestly, having this many terms is really difficult to verify by hand. It's not as easy compared to something like (x+5)^3. However, you can use CAS (computer algebra software) to expand out (1+2x-7y+d)^6 and confirm that there are indeed 84 terms. This is after all like terms are combined.

Problems 2 and 3 follow the same idea, but with different n and k values.

[tex]4 \ \text{ice cream cones}\longrightarrow12\$\\\\16 \ \text{ice cream cones}\longrightarrow12\$\cdot4=\boxed{48\$}[/tex]

Hey there! Here is your answer:

The answer is 65° because 115° and another number has to add up to 180°

Answer:

Step-by-step explanation:

The equation of the form

[tex](x-a)^2+(y-b)^2 =r^2[/tex]

has radius r.

Now your equation is

[tex](x-5)^2+(y-3)^2=42[/tex]

Hence its radius is [tex]\sqrt{42}[/tex]

The radius of the circle is root 42.

We have given that equation of the circle

[tex](x + 5)^2 + (y - 3)^2 = 42[/tex]

here we have (a,b) as the center of the circle

r is the radius of the circle

[tex]r^2=42[/tex]

taking square root on both sides.

[tex]r=\sqrt{42}[/tex]

Therefore,The radius of the circle is root 42.

To learn more about the radius of the circle visit:

https://brainly.com/question/24375372

#SPJ5

Answer:

3a^2+8/6a^2

Step-by-step explanation:

there ya go hope this helps

Answer:

-1/3 and -1/2

Step-by-step explanation:

as a rational number is of the form p/q where q is not equal to zero

Explanation :

The line DF is parallel to OB, therefore Angle x = Angle y.

( because, they for corresponding angle pair which are equal. )

And the angle made by an arc at center is always double the angle made by the same arc at its boundary, hence

Answer:

Step-by-step explanation:

Given: ABC is equilateral triangle.

AD = DB   & BE = EC   & CF = FA ------------(IV)

Proof:

  D & F are midpoint of the sides AB and AC

  DF = [tex]\frac{1}{2}BC[/tex]            {Midpoint theorem}    

DF = BE     ----------------(I)

D & E are midpoint of the sides AB and BC

DE = [tex]\frac{1}{2}AC[/tex]               {Midpoint theorem}      

DE = FA ----------------(II)

E & F are midpoint of the sides BC and AC

[tex]EF = \frac{1}{2}AB[/tex]                  {Midpoint theorem}

EF = AD   ---------------(III)

From (I) ; (II) ; (III) ; (IV) ,

DF =  DE = EF

DEF is an  equilateral triangle.

Answer:

10:7

Step-by-step explanation:

ratios are simply just like fractions!

this ratio (40:28) can be re-written as 40/28

now, you can simplify this to its lowest terms

40/28=20/14=10/7

first in those steps i re wrote the question, then divided by two, then divided by two again !

so, 40:28=10:7

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

you can even check this by cross multiplying, since ratios are fractions

[tex]\frac{40}{28} =\frac{10}{7}[/tex]

40x7=28x10

280=280

they are equivalent which means our ratio is correct :)

hope this helped <333

Answer:

I think d is not a binomial from the option given

Answer:

x = -2

Step-by-step explanation:

6x - 8 + 3x -3 = -29

9x = - 18

x = -2

Answer:

i think 90 people

Step-by-step explanation:

3,000 - 50 (clean up fee) - 64 (mark and heather) = 2886

32 x 10 = 320 ( cost of ten people )

2886 - (320 x 9) = 6

6 dollars left

Answer:

m=-17/4

Step-by-step explanation:

Slope is equal to m= y-y/x-x

Therefore it will be 9-(-8)/-4-0

Answer:

[tex]\boxed {\boxed {\sf m= - \frac{17}{{4}}}}[/tex]

Step-by-step explanation:

We are asked to find the slope of (0, -8) and (-4, 9). We use the following formula to calculate slope.

[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the points given. We have the points (0, -8) and (-4,9). If we match the given value with the corresponding variable we see that:

Substitute the values into the formula.

[tex]m= \frac{(9)- (-8)}{ (-4) -(0)}[/tex]

Solve the numerator. Remember that 2 back to back negative signs become a positive sign.

[tex]m= \frac{17}{(-4)-(0)}}[/tex]

Solve the denominator.

[tex]m= \frac{17}{-4}[/tex]

This fraction cannot be reduced, so -17/4 is the slope.