Shawn said that in standard notation,
7.142 x 107 will have 7 zeros after the
2 because the exponent is a 7. Is he
correct? Why or why not?

Answer:

y=0.25

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1.8−0.4y=2(1.1−y)

1.8+−0.4y=(2)(1.1)+(2)(−y)(Distribute)

1.8+−0.4y=2.2+−2y

−0.4y+1.8=−2y+2.2

Step 2: Add 2y to both sides.

−0.4y+1.8+2y=−2y+2.2+2y

1.6y+1.8=2.2

Step 3: Subtract 1.8 from both sides.

1.6y+1.8−1.8=2.2−1.8

1.6y=0.4

Step 4: Divide both sides by 1.6.

1.6y/1.6 = 0.4/1.6

Answer:

(3 x 2 − 2) (9 x 4 + 6 x 2 + 4)

Step-by-step explanation:

I attached a screenshot that explains more

May I ave brainliest please? :)

Answer:

[tex]y=\frac{1}{2}x+1[/tex] is in the slope-intercept form.

so the slope will be:

and y-intercept will be:

Step-by-step explanation:

Given the equation

[tex]x-4=2(y - 3)[/tex]

As we know that [tex]y = mx+b[/tex] is the slope-intercept form of a line where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

Converting to slope-intercept form

[tex]x-4=2(y - 3)[/tex]

switching sides

[tex]2\left(y-3\right)=x-4[/tex]

[tex]2y-6=x-4[/tex]

[tex]2y=x-4+6[/tex]

[tex]2y=x+2[/tex]

[tex]y=\frac{1}{2}x+1[/tex]

As  [tex]y = mx+b[/tex] is the slope-intercept form of a line where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

Therefore, [tex]y=\frac{1}{2}x+1[/tex] is in the slope-intercept form.

so the slope will be:

and y-intercept will be:

Answer:

[tex] - \frac{1}{ 12} [/tex]

Step-by-step explanation:

since q(x)=-4

substitute

hence

-4=12x-3

take -3 to the other side where it becomes positive

therefore

-1=12x

divide by 12

you will get the above answer

Answer:

The ordered pair (-6, -2) is in the solution set of the system of equations shown below ⇒ D

Step-by-step explanation:

To find the ordered pair that is in the solution set of the system of the equation substitute x and y in each equation by the coordinates of the ordered pair, if the two sides of equations are equal, then the ordered pair is in the solution set of the system of equations

∵ The equations are y² - x² + 32 = 0 ⇒ (1) and 3y - x = 0 ⇒ (2)

∵ The 1st ordered pair is (2, 6)

∴ x = 2 and y = 6

→ Substitute them in equation (2) first

∵ The left side = 3y - x

∴ The left side = 3(6) - 2 = 18 - 2 = 16

∵ The right sides = 0

∴ Left side ≠ Right side

∴ (2, 6) is not a solution to the system of equations

∵ The 2nd ordered pair is (3, 1)

∴ x = 3 and y = 1

→ Substitute them in equation (2) first

∵ The left side = 3y - x

∴ The left side = 3(1) - 3 = 3 - 3 = 0

∵ The right sides = 0

∴ Left side = Right side

→ Substitute them in equation (1)

∵ The left side = y² - x² + 32

∴ The left side = (1)² - (3)² + 32 = 1 - 9 + 32 = 24

∵ The right sides = 0

∴ Left side ≠ Right side

∴ (3, 1) is not a solution to the system of equations

∵ The 3rd ordered pair is (-1, -3)

∴ x = -1 and y = -3

→ Substitute them in equation (2) first

∵ The left side = 3y - x

∴ The left side = 3(-3) - (-1) = -9 + 1 = -8

∵ The right sides = 0

∴ Left side ≠ Right side

∴ (-1, -3) is not a solution to the system of equations

∵ The 4th ordered pair is (-6, -2)

∴ x = -6 and y = -2

→ Substitute them in equation (2) first

∵ The left side = 3y - x

∴ The left side = 3(-2) - (-6) = -6 + 6 = 0

∵ The right sides = 0

∴ Left side = Right side

→ Substitute them in equation (1)

∵ The left side = y² - x² + 32

∴ The left side = (-2)² - (-6)² + 32 = 4 - 36 + 32 = 0

∵ The right sides = 0

∴ Left side = Right side

∴ (-6, -2) is a solution to the system of equations

The ordered pair (-6, -2) is in the solution set of the system of equations shown below

Answer:

-6w+49

Step-by-step explanation:

w-7(w-7) <-- Distribute the -7

w-7w+49 <-- Combine like terms

-6w+49

Step-by-step explanation:

Given P=Rs.2,500,r=4%, N=2

CI=P(1+

100

R

)

2

−P=2,500(1+

100

4

)

2

−2,500=2,500(

100

2

104

2

−1)=

10,000

2,500×816

=Rs.204

SI=

100

P×T×R

=

100

2,500×4×2

=Rs.200

Difference=Rs.4

The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

The equation of a line in slope-intercept form is expressed as;

y = mx + b

where;

m is the slope

b is the y-intercept

For two lines to be perpendicular, the product of their slope must be -1

Given the equation 2x - y =7​

Rewrite

y = 2x - 7

The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

Learn more on equation of a line here: https://brainly.com/question/13763238

#SPJ1

Answer:

The drop per hour is 4 1/2 degrees per hour

Step-by-step explanation:

In 3 hours, we had a drop of 13 1/2

So per hour, the drop we will have is;

13 1/2 divided by 3

Which is;

27/2 * 1/3

= 9/2 = 4 1/2 degrees per hour

Answer:

linear hope this helps :>

Answer:

The answer is 5 ( 6 + x ) = 20

Step-by-step explanation:

Five times = You are multiplying 5 to a number(s)

Sum of 6 and some number = Sum means to add. You are adding 6 to an unknown number.

In terms of x = You do not know what you are adding 6 with. Therefore 6+x.

is 20 = The total is 20.

To solve:

5 ( 6 + x ) = 20

30 + 5x = 20  Use the distributive property and multiply 5 to the 6 and the x

-30 + 5x = -30   Subtract the 30 on both sides

5x = -10              The 30's would cancel each other out and this is what's left

5x/5 = -10 / 5           Divide 5 on both sides.

x = -2                        The 5 cancels each other on the left side.

x = -2                        Is your answer

Hope this helps!

Answer:

x=-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The line RS has a vertical line running through S. The line has the equation of x = - 1

The line running through R (the origin) has a slope to be determined by the points TS

T=6,0

S=-1,4

m = (y2 - y1) / (x2 - x1)

m = (4 - 0)/(-1 - 6)

m = 4/-7

The line you want going through 0,0 has a slope of m1 * m2 = -1 where m1 = -4/7

-4/7 * m2 = - 1

m2 = -1/(-4/7) = 7/4

Since the line goes through 0,0 the equation is y = 7/4 x

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

The orthocenter must be on a y value determined by x = - 1

The orthocenter is (-1,-7/4)

y = 4/7

The orthocenter is (-1,4/7)

Answer:

12,14,13,15,17,16,19,18

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

find the equation of the line using y = mx + b. Then translate it as a function.

f(x) = -2x + 1

f(-1) = -2(-1) + 1

f(-1) = 3

Answer:

-33/10 z - 11

Answer:

a). y = 1.6x

b). Distance traveled = 115.2 feet

Step-by-step explanation:

From the graph attached,

A). Distance traveled by Kirk ∝ Duration of walk

    D ∝ t

    D = kt

    Or y = kx

    Since a point (5, 8) lies on the line given in the graph,

    8 = 5k

    k = [tex]\frac{8}{5}[/tex] = 1.6

    Therefore, equation will be,

    y = 1.6x

B). We have to find the distance walked after 72 seconds.

    By putting x = 72 seconds

    y = 1.6 × 72

       = 115.2 feet

    Distance traveled by Kirk = 115.2 feet

Answer: The answer is C.

Step-by-step explanation: Brainliest if correct

Answer and explanation:

Volume of a cylinder = π r² h

Surface area of a cylinder = 2π r h + 2π r².

Since volume of cylinder = surface area of cylinder

π r² h=2π r h + 2π r²

Solving 14)

Given height x and base 6ft, radius will be 3ft

π r² h=2π r h + 2π r²

22/7*3²*x= 2*22/7*3*x+2*22/7*3²

=22/7*9*x= 2*22/7*3*x+2*22/7*9

= 28.286x=18.857x+2*28.286

=28.286x=18.857x+56.572

=9.429x=56.572

x=5.999ft( x cannot be a negative value)

15) Given height x and base 10 m, radius will be 5m

π r² h=2π r h + 2π r²

22/7*5²*x= 2*22/7*5*x+2*22/7*5²

78.5714x= 31.429x+157.1428

47.1424x=157.1428

x=3.333m( because x cannot be negative)

Answer:

:)

Step-by-step explanation:

I have no idea in the slightest

Answer:

1. > 2. = 3.<

Step-by-step explanation:

1. Well first I had to reduce 8/10. I found out that it is, when reduced, is 4/5. 4/5 is bigger than 3/8.

2. 10/10 and 8/8 are both equal to 1. So they are both equal.

3. none of those fractions had to reduced. Now 5/8 is bigger than 3/16.

Answer:

7

Step-by-step explanation:

Proprtion is 1:3

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:7

Step-by-step explanation:

there all is divided by three for the smaller triangles

Answer:

26

Step-by-step explanation:

I don't totally understand you question but if its 4 pages originally then she takes 2 pages every class, then

56-4= 52    (56 pages minus the 4 she already took).

52/2= 26    (52 pages divided by 2 pages per class)

Answer:

The first one.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The first one is correct.

Answer:

3(30-g)

Step-by-step explanation:

Answer:

second one B. 3(30-g)

Step-by-step explanation: