Find the dot product of vectors a and b and the angle between them. a = (9,0) b = (5,8)

Answer:

A. y = -4x - 10

Step-by-step explanation:

See image below. The red line (y = -4x - 10) is parallel to                                  the blue line (y = -4x + 3) and passes through (-3 , 2)

Answer:

y = -4x - 10 (Answer A)

Step-by-step explanation:

Any line parallel to the given y = -4x + 3 has the same slope:  -4.

Starting with y = mx + b, and substituting -4 for m, -3 for x and 2 for y, we get:

2 = -4(-3) + b, or b = -10, and so the desired equation is

y = -4x - 10 (Answer A)

Answer:

x=−1,−7

Step-by-step explanation:

Answer:

The solutions are {-1, 9}

Step-by-step explanation:

x² - 8x + 16 can be re-written as (x - 4)^2, and 9 + 16 as 25.

Taking the square root of both sides of (x - 4)^2 = 25, we get:

x - 4 = ±5, or:

x = 4 + 5 = 9, and

x = 4 - 5 = -1

The solutions are {-1, 9}

Step-by-step explanation:

P = 25/500

P = 1/20, or 5%

Answer:

1600

Step-by-step explanation:

0.3% of 1600 will result to 4.8

Answer:

168 adult tickets were sold

Step-by-step explanation:

$10. 50 per adults

$3. 75 per student

There are 82 students..

.. So...

$3. 75 × 82 = $307. 50

Overall the amount of money made was $2071.50

If you subtract $307.50 from $2071. 50 you will get $1,764

We now need to find out how many adults bought tickets by dividing $1, 764 by the price adults have to pay so..

Amount of adults who bought tickets are

= $1, 764 ÷ $10. 50

= 186 adults

Answer: [tex]x=-2/3[/tex]

Subtract 24x from both sides

[tex]6x-6-24x=24x+6-24x\\-18x-6=6[/tex]

Add 6 to both sides

[tex]-18x-6+6=6+6\\-18x=12[/tex]

Divide both sides by -18

[tex]-18x/-18=12/-18\\x=-2/3[/tex]

Answer: x=-2/3.

Step-by-step explanation:6x-6 = 24х+6                                                                          

6x-6-24x=6                                                                                                                                 -18x-6+6=6+6                                                                                                                               -18x/-18=12/-18                                                                                                                                x=-2/3                                                                                                                                                                                                                                                                            

Answer:

B. 8(3+1)

Explanation: 8x3 = 24. 8x1 = 8

Answer:

B. 8(3+1) = 32

Step-by-step explanation:

8 x 3 + 8 x 1 = 32

A. 8(3 + 8) = 88

B. 8(3+1) = 32

C. 3(8+1) = 72

D. 1(3+8) = 11

Answer: The answer is 6!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

length = 99 m

width = 87 m

Substitute the values into the above formula and solve for the area

That's

Area = 99 × 87

We have the final answer as

Area = 8613

Hope this helps you

Answer:

375

Step-by-step explanation:

The ratio of d to 125 is the ratio of 30 to 10,so by comparison, 30:10=3÷1

X÷125=X=375

Answer:

142,000

Step-by-step explanation:

I would round 300,980 to the nearest thousands place = 301,000

Subtract 301,000 and 159,000 = 142,000

Answer:

Step-by-step explanation:

The column has the shape of a cylinder hence the formula for the volume of a cylinder is

[tex]v=\pi r^2h[/tex]

Given

diameter d= 390 mm

radius r= 390/2= 195 mm to meter = 0.195 m

length or height h= 3 m

applying the data to the formula we have

[tex]v=\pi *0.195^2*3\\\\ v=\pi*0.0038*3\\\\ v=\pi*0.0114\\\\ v=0.035 m^3[/tex]

we can now use the volume in addition with the density given to solve for the mass using the expression for density

density= mass/volume

2.45= mass/0.035

mass= 2.45*0.035

mass= 0.085 mg

We know that weight

w= mass* acceleration

w= 0.085*9.81

w= 0.83 N

Answer:

the marked price of a mobile is 25% above its cost price when it is sold at a gain of 10%, the profit amount to RS 725 find the marked price of the mobile

Step-by-step explanation:

Hope this helps.......

Answer:

Hey there!

Part A

3(2x-1)+4=7

6x-3+4=7

Part B

6x+1=7

Part C.

6x+1-1=7-1

6x=6

Part D.

6x/6=6/6

x=1

Let me know if this helps :)

Answer:

  3. 6x -3 +4 = 7

  4. 6x +1 = 7

  5. 6x = 6

  6. x = 1

Step-by-step explanation:

3. The distributive property allows you to eliminate parentheses by multiplying the outside factor by every term inside.

  3(2x -1) +4 = 7 . . . . . . given

  3(2x) +3(-1) +4 = 7 . . . . using the distributive property

  6x -3 +4 = 7 . . . . . . . finishing the evaluation of those products

__

4. The only like terms that can be combined are the two constant terms on the left side. We simply add them up.

  6x +1 = 7

__

5. Using the subtraction property of equality, we can subtract 1 from both sides of the equation. We choose to do this so that the x-term is by itself.

  6x +1 -1 = 7 -1

  6x = 6

__

6. Using the division property of equality, we can divide both sides of the equation by 6. We choose to do this so the new coefficient of x is 1.

  6x/6 = 6/6

  x = 1

______

Additional comment

You're told to apply these steps without any explanation as to why or what the goal may be. We assume you're supposed to realize that you can use these steps to solve the equation. Of course, you can use different values for addition (or subtraction) or multiplication (or division). Doing so may satisfy the literal interpretation of the question, but won't get you a solution to the equation.

Answer:

Hello☺️!

Step-by-step explanation:

[tex]5 x - 11 = 3x + 3[/tex]

[tex]5x - 3x = 3 + 11[/tex]

[tex]2x = 14[/tex]

[tex]x = \frac{14}{2} [/tex]

[tex]x = 7[/tex]

Answer:

[tex]F = 9.75cm[/tex]

Step-by-step explanation:

Given

In ABC;

[tex]C = 3.9cm[/tex]

[tex]Dilation = 2.5[/tex]

Required

Determine side F

In the given question;

DEF is a dilation of ABC

Comparing both triangles side by side,

Side F is a direct dilation of side C and this is calculated as follows

[tex]F = Dilation * C[/tex]

[tex]F = 2.5 * 3.9cm[/tex]

[tex]F = 9.75cm[/tex]

[tex]7\frac{12}{25}[/tex]

7.48 = 748⁽⁴/100 = 187/25 = 7  12/25

Answer:

(-1,-2)

Step-by-step explanation:

Ordered pairs go in the order x,y so the 2x would be the first number that then equals the second number. The answer is (-1,-2) because when you multiply 2*-1 you get -2 and what's the y? -2. Does -2 = -2? Yes.

Answer:

Logarithm I think

Step-by-step explanation:

If u need more explanation u can ask me

Answer:

B

Step-by-step explanation:

3.2 * 10⁷ + 6.4 * 10⁷

= 10⁷  * (3.2 + 6.4)

= 10⁷ * 9.6

= 9.6 * 10⁷

Answer:

The Atlantic Ocean and Pacific Ocean covers about 9.6 x 10^7 mi^2

Step-by-step explanation:

Let

x -----> area covered by the Atlantic Ocean

y -----> area covered by the Pacific Ocean

we know that

The area that covers the Atlantic Ocean and Pacific Ocean is equal to the sum of  the area covered by the Atlantic Ocean and the area covered by the Pacific Ocean

x = 3.2 x 10^7

y = 6.4 x 10^7

Substitute

x + y = 3.2 x 10^7 + 6.4 x 10^7 = 9.6 x 10^7.

Hope this helps!  And good luck on your test!

Answer:

-22d -102

Step-by-step explanation:

8(−5d−9)−3(−6d+10)

Distribute

-40d -72 +18d -30

Combine like terms

-40d +18d   -72 - 30

-22d -102

Answer:

−22d − 102

Step-by-step explanation:

8 (−5d − 9) −3 (−6d + 10)

expand 8 (−5d − 9)  to  −40d − 72

= −40d − 72 − 3 (−6d + 10)

expand − 3 (−6d + 10)   to   18d − 30

= −40d − 72 + 18d − 30

combine like terms

= −40d + 18d − 72 − 30

=  −22d − 102

Answer:

five years ago

father:son = 9:4

= 45: 20

now

father: son = 45+5 : 20+5

= 50:25

ok

the son is now 25 years old

Answer:

560.3

hope it helps

Greetings from Brasil...

First let's define the rational number....

→ Division between two numbers with the detail that the dividend or denominator cannot be zero

A/B or A ÷ B

where B ≠ 0

(just for the sake of knowledge. If B = 0 we would have +∞ as an answer)

A ∈ ℤ

and

B ∈ ℤ*   (B ≠ 0)

In this way, when dividing A by B, we will obtain a whole number or a number with a decimal (finite decimal or periodic tenth)

Let's go to the alternatives

4 ∈ ℤ and 5 ∈ ℤ*, so we have a rational number

B = √27 = 5.1961524227066318805823390245176

(There is no repetition of tithing periods (numbers after the point) - non-periodic tithe). So we have an Irrational Number

C = 4.020020002000002

There is no periodic tenth - Irrational Number

D = √31 = 5.5677643628300219221194712989185

Irrational Number - Non-periodic tithe

Answer:

Step-by-step explanation:

 let us apply the interpolation formula to solve this problem

we have

[tex]\frac{y-y1}{x-x1} =\frac{y2-y1}{x2-x1}[/tex]

Now let us set the values to the notation above

x= $1.20

x1= $2.20

x2= $1.50

y = 50 cones

y1= 30 cones

y2= ?

[tex]y2= \frac{(y-y1)}{(x-x1)} (x2-x1)+y1[/tex]

Substituting our given data we have

[tex]y2= \frac{(50-30)}{(1.2-2.2)} (1.5-2.2)+30\\\\y2= \frac{20}{-1} (-0.7)+30\\\\y2= (20*0.7)+30\\y2= 14+30\\y2= 44[/tex]

the demand at a price of $1.50 per cone is 44 cones

Answer: 13/48

let me know if I'm wrong

I didn't have enough time to explain it though

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Different countries have different metric system of measurement, but the metric system of measurement accepted all over the world is the international system of unit (SI unit)

1 quintal =  220.462 lbs and 1 bushel of corn = 56 lbs.

151 q/ha = (151 × 220.462) lbs/ha = 33289.762 lbs/ha

But 1 hectare = 2.471 acre, hence:

33289.762 lbs/ha = [tex]\frac{33289.762\ lbs}{1\ ha*\frac{2.471\ acre}{1 \ ha} } =13472.182\ lbs/acre[/tex]

Since 1 bushel of corn = 56 lbs, hence:

[tex]13472.182\ lbs/acre=\frac{13472.182\ lbs*\frac{1\ bushels}{56\ lbs} }{acre}=240.6\ bushels/acre[/tex] = 240.6 bu/ac

For a Margin of Error: +/- 1 bu/ac, the bushels per acre = (239.6 bu/ac, 241.6 bu/ac)

Answer:

The function would be positive in:

(-9, 3]

Step-by-step explanation:

A function is considered positive on the X-axis when the changed values ​​in the function are greater than zero.  f(x) > 0

And is considered negative when f(x) < 0.

In this case, the numbers that make the function positive are the numbers from -9 to 3, but not including -9.

This can be written as (-9, 3]

It means that -9 is not taken but any number greater than -9 is.