Find the inner product for (-4, 9, 8) * (3,2,-2) and state whether the vectors are perpendicular.
a.-10; no
c.10; no
b.-10; yes
d.10; yes

Given :

Last year during the hurricane season the amount of rain that fell on the Texas gulf coast in October was 14 inches which was 3 1/2 times more than the rainfall during the month of September.

To Find :

Amount of rainfall in September.

Solution :

Let, amount of rainfall in September is x.

It is given that rainfall in October is 3 1/2 = 7/2 times of september.

So,

[tex]\dfrac{7}{2}x=14\\\\x = 4\ inches[/tex]

Therefore, rainfall in October is 4 inches.

Hence, this is the required solution.

Answer:

Function 1 is linear

Step-by-step explanation:

A linear is a straight line on the graph.

Step-by-step explanation:

in my opinion

5(2- 7x)

5×2 - 5×7x

= 10-35x

Answer:

11) 6

12) 3

Step-by-step explanation:

2 log 2 8

so 2(log2 8)

Base 2 so 2^x=8 so 3.

2*3 is 6.

log a a cubed

base a so a^ x = a^3

x=3

so 3.

Hope this helps ;D

Answer:

6 and 3

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] ⇔ n log x

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

[tex]log_{a}[/tex] a = 1

(11)

let 2 [tex]log_{2}[/tex]8 = n , then

[tex]log_{2}[/tex] 8² = n

[tex]log_{2}[/tex] 64 = n

[tex]log_{2}[/tex] [tex]2^{6}[/tex] = n

[tex]2^{6}[/tex] = [tex]2^{n}[/tex]

Since bases on both sides are equal, equate the exponents, that is

n = 6

(12)

[tex]log_{a}[/tex] a³

= 3 [tex]log_{a}[/tex] a

= 3 × 1

= 3

Answer:

OKAY

Step-by-step explanation:

Answer:

Okay

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

5×5-8

5×5= 25

25-8=17

Answer:

Vertex is (-1/3, -13/3)

Axis of symmetry is x = -1/3

Step-by-step explanation:

For the vertex, you need to change it into vertex form which is y = a(x - h)^2 + k

Vertex form for this equation is:

Y = -6(x + 1/3)^3 - 13/3

To find the vertex, the formula is (h,k)

So, ( -1/3, -13/3)

Answer:

1.y=3x

2.y=-3x+4

3.y=1.5x-7

4.y=7

5.y=-1.5x-4

Step-by-step explanation:

1.m=3,b=0

2.m=-3,b=4

3.m=1.5,b=7

4.m=0,b=7

5.m=-1.5,b-4

hope it helps po

Answer:

see below and attached

Step-by-step explanation:

m = 3

b = 0

m = -3

b = 4

m = 1.5

b = 7

m = 0

b = 7

m = -1.5

b = -4

Answer:

the answer is on the picture

Step-by-step explanation:

a = 1 and b = [tex]\frac{1}{2}p\\[/tex]

(1-  [tex]\frac{p}{2}[/tex]) [tex]\frac{1}{4}[/tex] (4+ 2p +p^2)

Answer:

-1.48148148

Step-by-step explanation:

-7 x -8 = 56

-7 x -4a = 28a

25-56=-31

27a/-31

a=-1.48148148

Answer:

  x<7/12

Step-by-step explanation:

     1/4+x<5/6

1/4+x-1/4 < 5/6-1/4

             x<10/12-3/12

            x<7/12

Answer:

Arithmetic

Step-by-step explanation:

5-4=1

1-4=-3

-3=4=-7

Answer: C -when the results of 100 trials were used in calculating the experiment probability

Step-by-step explanation:

Took the assessment right now

Answer:

Step-by-step explanation:

Answer: 5.5666667e+79

:)

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

8x + 2 + 70 + 60 = 180

Step 2: Solve for x

And we have our final answer!

Answer:

22) 7d+ 4d-23y

=11d -23y

25) =n-6t

Answer:

Why do you have two equal signs in this question?

Answer:42.8795

Step-by-step explanation: because their is a easier way. $44.90 - 4.5%=42.8795 i hope this helps you .

Answer:

6c - 8d = 2 (3c - 4d)

Step-by-step explanation:

Factoring

To factor a polynomial, we must find the Greatest Common Divisor (GCD) among all its terms.

The expression to factor is 6c - 8d.

The GCD is found by factoring all terms:

6c : 2,3,c

8d : 2,2,2,d

And take the common divisor between the coefficients and the variables

GCD=2

Thus, the factorization is:

6c - 8d = 2 (3c - 4d)

Answer:

c. [tex] y + 2 = -3(x - 1) [/tex]

Step-by-step explanation:

By using a point on the line and the slope, we can determine the equation, in point-slope form, that is graphed in the figure.

Using two points, (1, -2) and (0, 1),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{0 - 1} = \frac{3}{-1} = -3 [/tex]

m = -3

Using a point, (1, -2) and the slope (m), we can create an equation for the graph in point-slope form, by substituting x1 = 1, y1 = -2 and m = -3 in [tex] y - y_1 = m(x - x_1) [/tex].

Thus, we would have:

[tex] y -(-2) = -3(x - 1) [/tex]

[tex] y + 2 = -3(x - 1) [/tex]

The equation that is graphed in the figure is:

✔️[tex] y + 2 = -3(x - 1) [/tex]

Answer:

sorry but can you put a picture or a question? thanks    :)

Step-by-step explanation:

Answer:

519

Step-by-step explanation:

We know the admission for adults is $22, and the kids ticket is 5 less.

22 - 5 = 17

now we know the kids ticket is $17

12 adult tickets - 22 x 12 = 264

15 children - 15 x 17 = 255

264 + 255 = 519

Answer: b.

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{3}x-3[/tex]

Step-by-step explanation:

Slope is 1/3 and the y intercept is (0,-3), if you plug these answers into slope intercept form (y=mx+b) you get this answer

Answer:

5x+1

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

16 times 45