A geometric sequence has a4 = 4 and a5 = 7. What is a1 ? Your answer​

9514 1404 393

Answer:

Step-by-step explanation:

The tangent of the angle can be found using the identity for the tangent of the difference of angles.

  tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))

The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.

  tan(α) = -2/3

  tan(β) = 4/7

  tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))

  = (-14-12)/(21 -8) = -26/13 = -2

Then the magnitude of the angle between the vectors is ...

  arctan(2) ≈ 63.43°

Answer:

AB = 7.81

m<A = 50.19

m<B = 39.8

m<C = 90

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

anything below 5 is to the nearest tenth below

Answer:

10

Step-by-step explanation:

Answer:

6 pizzas

Step-by-step explanation:

There are 60 kids and 10 slices per pizza so 60/10 = 6. So, 6 pizzas would have to be ordered.

Answer: 16:24

Step-by-step explanation:

add the ratio so 2+3=5

Divide from 40 so 40/5=8

multiply by individual ratios

2*8:3*8= 16:24

Answer:

2n(8n + 5)

Step-by-step explanation:

you need to see what you can take out of both the numbers.

ex they both have an 'n' and they both are divisible by 2

Answer:

Number 4..

.....,........,

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

Answer:

16

Step-by-step explanation:

You can use the pythagorean theorem:

[tex]a^{2}+b^{2}=c^{2}[/tex], here seeing as we know already know two sides here as all sides are congruent with squares and there has to be right angles for it to be a square we can do so by cutting the square in half for the diagonal and to get a right triangle.  

And from there we just use it:

[tex]8\sqrt{2}^{2} + 8\sqrt{2}^{2} = c^{2}[/tex]

[tex]\sqrt{128}^{2} + \sqrt{128}^{2} = c^{2}[/tex]

[tex]128 + 128 = c^2[/tex]

[tex]256 = c^2[/tex]

[tex]\sqrt{c}^2 = \sqrt{256}[/tex]

[tex]c = 16[/tex]

Meaning that the diagonal is 16.  

Answer:

12:30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let Daniel's age be X:

X×4. = 4x

X×4. =. 6

4X. =. 6

Divide both sides by 4:

4X÷4. =. 6÷4

X. =. 1.5

Answer:

B. Outliers

Step-by-step explanation:

Answer:

9 (partly to do with the amount of sticks)

Hope this helps :)

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

probability (P) is calculated as

P = [tex]\frac{favourableoutcome}{numberofpossibleoutcomes}[/tex]

Here favourable outcome is a purple brick

number of possible outcomes = 6 + 5 + 4 = 15

P(purple brick ) = [tex]\frac{6}{15}[/tex] = [tex]\frac{2}{5}[/tex]

Answer:

x= -7

Step-by-step explanation:

-4x - 36 = -8

-4x = - 8 + 36

-4x= 28

x= 28/-4

x= - 7

To find:

Any two quadratic equations​.

Solution:

The general form of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

Where, a,b and c are real number and a is non zero.

We know that a,b,c can take any values but a cannot be 0.

For a=1, b=1,c=1, we get

[tex]1x^2+1x+1=0[/tex]

[tex]x^2+x+1=0[/tex]

One quadratic equation is [tex]x^2+x+1=0[/tex].

For a=3,b=-1,c=5, we get

[tex]3x^2+(-1)x+5=0[/tex]

[tex]3x^2-x+5=0[/tex]

Therefore, the two quadratic equations are [tex]x^2+x+1=0[/tex] and [tex]3x^2-x+5=0[/tex].

Answer:

m = [tex]\frac{y-q}{x}[/tex]

Step-by-step explanation:

Given

y = mx + q ( subtract q from both sides )

y - q = mx ( divide both sides by x )

[tex]\frac{y-q}{x}[/tex] = m

Answer:

option c: angle 3 and angle 5

Step-by-step explanation:

Answer:3(−4)(−3) This the answr can u solve my question maybe?

Answer:

10.1

Step-by-step explanation:

Step-by-step explanation:

it goes by this formula

[tex]a = \frac{1}{2} bh \\ \\ \\ a = \frac{1}{2} 6 \times 4.1 = 12.3[/tex]

Answer:

It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

Step-by-step explanation:

Answer:

The answer is 17.5

Hope this helps

It looks like you have

tan²(x) / (1 - tan(x)) + cot(x) / (1 - tan(x)) = cot(x) + tan(x) + 1

but this is not an identity.

Take for instance x = 3π/4. Then

tan(3π/4) = -1

cot(3π/4) = -1

so that

tan²(x) / (1 - tan(x)) + cot(x) / (1 - tan(x)) = 0

while

cot(x) + tan(x) + 1 = -1

and of course 0 ≠ -1.

Answer:65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Hey There!

So where the given angles are is in a triangle called an isosceles triangle

In isosceles triangles to of the angles are congruent

The congruent angles are near the letters Q and R

we are given that angle 1 =50

so to find the missing angles we subtract 180 from 50 and divide by 2

180-50=130

130/2=65

so angle 2 = 65

Answer:

Discount- $62.25

Price after discount-$186.75

Step-by-step explanation:

25% of 249 is 62.25.

Therefore, 249-62.25=186.75

Answer:

[tex]x=0.61485921[/tex]

Step-by-step explanation:

The given equation is in exponential form:

[tex]6^{4x} =82[/tex]

To find [tex]x[/tex] we need to write it in logarithmic form:

[tex]b^{a} =n[/tex] ⇒ [tex]log_{b} n=a[/tex]

[tex]6^{4x} =82[/tex] ⇒ [tex]log_{ 6 } 82=4x[/tex]

           [tex]2.45943684 = 4x[/tex]

              [tex]\frac{2.45943684}{4} = x[/tex]

           [tex]0.61485921 =x[/tex]

To prove this, we can substitute the value into the given equation

             [tex]6^{4x} =82[/tex]

[tex]6^{4(0.61485921)} =82[/tex]

               [tex]82=82[/tex]

Therefore, the answer is [tex]x=0.61485921[/tex]

Answer:

(0,1)

Step-by-step explanation:

the y intercept is when x = 0

Answer:

(0.3) , That's It love hope this works

Answer:

(7,0) ---> (x = 7) and (y = 0)

Step-by-step explanation:

2x – 9y = 14

x= -6y +7     <-- (Substitute for x to above equation)

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

2(-6y +7)– 9y = 14

-12y + 14 - 9y = 14    <-- combine like terms

-21y + 14 = 14  

        -14 = -14   <-- inverse operation on both sides

      -21y = 0     <-- Divide

          y = 0  <--- Substitute for y to get x  ↓

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

2x – 9y = 14

2x – 9(0) = 14     <-- Substituted y from above

          2x = 14     <-- Divide

            x = 7

answer

600

Step-by-step explanation:

Step 1: If 82% of a number is 492, then what is 100% of that number? Setup the equation.

492/82%=Y/100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

82Y = 492 x 100

82Y = 49200

Y=49200100=600

Answer:

1

Step-by-step explanation:

(10+x)/3 =(4+x)/1

⇒(10+x)×1=(4+x)×3

10+x=12+3x

⇒-2x-2<0

⇒2x>-2

⇒x>-

2

2

⇒x>-1

this is hard to understand but basically the answer should be 1

Answer:

Step-by-step explanation:

Volume of the prism:

Scaled volume is 60 - 70 in³

Find the scale factor k;

So the scale factor is

and the volume of the smaller prism is:

Answer:

Scale factor 1/19, volume 65.6 in³

Step-by-step explanation:

Volume of the prism:

V = abh

V = 300*50*30 = 450000 in³

Scaled volume is 60 - 70 in³

Find the scale factor k;

450000/60 = 7500

450000/70 = 6428

1/6428 < 1/k³ < 1/7500

1/∛6428 < 1/∛k³ < 1/∛7500

1/18.59 < 1/k < 1/19.57

1/k = 19 is best

So the scale factor is

k = 1/19

and the volume of the smaller prism is:

450000 / 19³ = 65.6 in³