Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%

9514 1404 393

Answer:

  2a. 0.7, 0.3, -0.1, -0.5, -0.9

  2b. 1, 3, 9, 27, 81

  3a. geometric; r = 1/5

  3b. arithmetic; d = -9

  4. 234

  5. 1/32

Step-by-step explanation:

2a. Start with the first term and add the common difference to get the next term.

  0.7

  0.7 -0.4 = 0.3

  0.3 -0.4 = -0.1

  -0.1 -0.4 = -0.5

  -0.5 -0.4 = -0.9

The first 5 terms are 0.7, 0.3, -0.1, -0.5, -0.9.

__

2b. Start with the first term and multiply by the common ratio to get the next term.

The first 5 terms are 1, 3, 9, 27, 81.

__

3a. Obviously, the difference between 40 and 8 is not the same as the difference between 8 and 1.6. So, we look to see if the ratios are the same. They are:

  8/40 = 1.6/8 = 1/5

This is a geometric sequence with a common ratio of 1/5.

__

3b. If the sign changes, but does not alternate, it cannot be a geometric sequence. The common difference is ...

  -5 -4 = -14 -(-5) = -9

This is an arithmetic sequence with a common difference of -9.

__

4. Use n=50 and evaluate.

  [tex]a_{50}=-11+5(50-1)=\boxed{234}[/tex]

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5. Use n=7 and evaluate.

  [tex]g_7=2\cdot\left(\dfrac{1}{2}\right)^{7-1}=\dfrac{2}{2^6}=\dfrac{1}{2^5}=\boxed{\dfrac{1}{32}}[/tex]

Answer:

Distributive Property

Step-by-step explanation:

Brainliest Please!

Answer:

A. [tex]y =\frac{7}{8}x+1[/tex]

B. [tex]y = -10x[/tex]

C. [tex]y = 2.5x - 7[/tex]

D. [tex]y = 1.2x[/tex]

E. [tex]y = -5x -8[/tex]

Step-by-step explanation:

Let the descriptions be A to E.

First, we need to note the followings.

An equation is of the form

[tex]y = mx + b[/tex]

[tex]m = slope[/tex] and [tex]b = y\ intercept[/tex]

A. Non proportional graph with positive y intercept

From the list of options, only

The slope of [tex]y =\frac{7}{8}x+1[/tex] is positive

and y intercept is also positive

B. Negative slope and pass through the origin.

Negative slope means m is negative

From the list of options

[tex]y = -10x[/tex] and [tex]y = -5x -8[/tex]

Origin implies (0,0)

i.e: [tex]x = 0[/tex] and [tex]y = 0[/tex]

For y = -10x

[tex]0 = -10 * 0[/tex]

[tex]0 = 0[/tex] --- This is true

For [tex]y = -5x -8[/tex]

[tex]0 = -5 * 0 - 8[/tex]

[tex]0 = 0 - 8[/tex]

[tex]0 = -8[/tex] --- This is not true

Hence:

[tex]y = -10x[/tex] fits this description

C. Increases from left to right and b is negative

For b is negative, we have the following:

[tex]y = -5x -8[/tex] and

[tex]y = 2.5x - 7[/tex]

An increment from left to right, means the slope is positive.

So, we have:

[tex]y = 2.5x - 7[/tex]

D. Positive slope and contains (0,0)

From the options, we have the following functions left:

[tex]y = -5x -8[/tex] and

[tex]y = 1.2x[/tex]

But [tex]y = 1.2x[/tex] has a positive slope and also contain (0,0) because

[tex]0 = 1.2 * 0[/tex]

[tex]0 = 0[/tex]

E. Negative m and Negative b

[tex]y = -5x -8[/tex] has these descriptions

Answer:

y = 2x + 10

Step-by-step explanation:

The rate is 2 and the y coordinate starts at 10. You use the y = mx + b formula

Step-by-step explanation:

Given

6( x + 4)

= 6x + 24

Hope it helps :)❤

Final Answer: [tex]6x + 24[/tex]

Steps/Reasons:

Question: Simplify [tex]6(x + 4)[/tex]

Step 1: Expand by distributing the terms.

[tex]6x+ 6[/tex] × [tex]4[/tex]

Step 2: Simplify [tex]6[/tex] × [tex]4[/tex] to [tex]24[/tex].

[tex]6x + 24[/tex]

~I hope I helped you :)~

Answer:

1. Zero Slope

2. Negative Slope

3. Negative Slope

4. Undefined Slope

Step-by-step explanation:

Answer:

At point C (-0.5,2)

At point E (1,5)

Step-by-step explanation:

The points that defines the linear quadratic equation system is as follows:

As we can see that the point E and Point C are the solutions set that have an intersections between the parabola i.e. blue and the red line also they are on the both curves at the same time. In addition to this, their coordinates satisfy the both equations in the similar time

Hence, the same is to be considered

Answer:

24

Step-by-step explanation: We have to find out how much centimeters of tape we need to wrap one present, so you have to divide 12 by 3=4

so you need 4 centimeters of tape to wrap one present. Now we have to find out how much tape we need for 6 presents, so we do 4x6=24.

Answer:

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can get y and x immediately. z is a bit tricky.

x

The other two angles of a triangle containing x are 100 and 60.

x + 100 + 60 = 180          Add the two terms on the left

x + 160 = 180                  Subtract 160 from 180

x = 180 - 160                   Combine the right

x = 20

y

y is done exactly the same way.

55 + 80  + y  = 180

135  + y =  180

y = 180 - 135

y = 45

z

You have x y and z all in the same triangle.  You know x and y so z can be found in much the same way.

x + y + z = 180

20 + 45 + z = 180

65 + z = 180

z = 180 - 65

z = 115

Answer: x = 20

              y = 45

              z = 115

Step-by-step explanation:

There is one unknown variable in both triangles with known angles.  To find the values of x, y, and z, add both the known angles and subract it from 180 degrees.  The result will be the value of the variable.  When you have both the values of x and y, do the same math to find the value of z.

Step 1: Find the value of x

Add the values of the two known angles in this traingle and subtract it from 180°

80 + 55 = 135

180 - 135 = 45

45° is the value of x

Step 2: Find the value of y

Add the values of the two known angles in this traingle and subtract it from 180°

100 + 60 = 160

180 - 160 = 20

20° is the value of y

Step 3: Find the values of z

Add the values of x and y and subtract it from 180°

45 + 20 = 65

180 - 65 = 115

115° is the value of z

Answer:

92º

Step-by-step explanation:

(2x-2)º=x+45º

2x-2=x+45

2x-x=45+2

x=47

____________

22x-2=2(47)-2=92º

Answer:

B, C, D, F, H, J, K

Step-by-step explanation:

all those that I put are right I promise

hope this helped

Answer:

ABC = DEF

CBA = FED

B = E

C = F

A = D

AB = ED (actually, AB = DE ;w;)

AC = DF

CB = FE

Step-by-step explanation:

Answer:

well well well

Step-by-step explanation:

free points

Answer:

The measure of the angle is 150°, the measure of its supplementary is 30°

Step-by-step explanation:

The given parameters are;

The measure of the given angle = 5 × The measure of its supplementary angle

Let "x" represent the given angle, and let "y" represent its supplementary angle, we have;

x = 5 × y...(1)

x + y = 180°...(2)

By substituting the value of x = 5 × y, from the first equation into the second equation, we have;

x + y = 180°

x + y = 5 × y + y = 5·y +  y = 6·y = 180°

y = 180°/6 = 30°

y = 30°

x = 5 × y = 5 × 30° = 150°

x = 150°

The measure of the angle = x = 150°, the measure of its supplementary = y = 30°.

Answer:

D) Quadrant 3

Step-by-step explanation:

ok so lets get a random point and try it out i see -10 is a big number so i will use R and see where it is and then t

R(-8,3) so add 2 to x and minus 10 y

R'(-6,-7)

Now t

T(-4,9)

(+2,-10)

T'(2,-1)

It is Quadrant 3

If RSTU is translated by the rule (x, y) ⇒ (x + 2, y - 10) the image R'S'T'U be located at the D. Third quadrant.

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

From the given diagram, the coordinate of the vertex(T) is (- 4, 10).

Let, T' be the vertex when the quadrilateral is translated by the rule

(x, y) ⇒ (x + 2, y - 10).

Therefore, The translated coordinate of the vertex(T') is,

(- 4 + 2, 10 - 10).

= (- 2, 0).

So, The quadrilateral will lie in the third quadrant.

learn more about quadrilaterals here :

https://brainly.com/question/29934440

#SPJ2

Answer:

78.151 (approximately)

Step-by-step explanation:

To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r²

=140/360×π×8²

=7/18×3.41×64

=7/18×157/50×64

=7/9×157/50×32

=7/9×157/25×16

=17584/225

=78.151 (approximately)

Answer:

12 Pints

Step-by-step explanation:

There are 8 pints (pt) in 1 gallon (gal). This means that 1 pint equals 1/8 gallon.

1.5 x 8

=12

Answer:

B

Step-by-step explanation:

pls mark brainliest

Answer:

its B)-9

Explain-9,-2,5,12 its increasing by seven

Answer:

i think 15 kid and 18 aduits

Step-by-step explanation:

Answer:

800 children’s ticket were sold and 400 adult tickets were sold

Step-by-step explanation: using elimination

variables-

amount of children’s ticket sold: C

amount of adult tickets sold: A

equations-

A+C=1200

5A+11C=10,800

solving-

(A+C=1200) -5 —> -5A-5C=-6000

5A+11C= 10,800

use elimination on those two equation and you get C=800, A=400.

to check you plug in the numbers into one of the equations, doesn’t matter which one.

Answer: x = 3. the length of side ST is 14.

Step-by-step explanation:

Since both sides are equal, we can use the equation 3x + 5 = 5x - 1.

To start the problem, we subtract 3x from each side which makes our equation 5 = 2x - 1.

The next step would be to simplify the equation by adding 1 to each side which makes our equation 6 = 2x.

We then need to simplify the equation to x = 3.

This means the answer to 9 is x = 3.

For the next problem, since we already know the value of x, we substitute its value which in this case would be 3. This leaves us with an equation of 9 + 5, which equals 14.

This means the length of side ST is 14.

Answer:

1. PO = 21

2. LO = 27

3. PL = 34.2

Step-by-step explanation:

1. Since P is the incenter, that means it is equidistant to each side at a right angle. As a result PN, PO, and PM are equal to each other.

We know that PN is 21. Since PN and PO are equal to one another, PO = 21.

2. ML is equal to LO. ML is 27, so LO is also 27.

3. To get PL you will have to do the Pythagorean Theorem. Square the legs and set it equal to the hypotenuse squared.

* It should be: 27^2 + 21^2 = x^2.

Once you solve and round to the nearest tenth, you will get 34.2.

Answer:

B

Step-by-step explanation:

the 0.1 is rate of change decreasing and 10.1 is original amount

Answer:

[tex]3 \frac{1}{3}[/tex], or 10/3

Step-by-step explanation:

4/3 ÷ 2/5 = 4/3 × 5/2 = 20/6 = [tex]3 \frac{2}{6} = 3\frac{1}{3}[/tex]

Answer:

3 1/3

Step-by-step explanation:

When we divide two fractions, such as 4/3 ÷ 2/5, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

So first we will change 2/5 into its reciprocal, in simple words what fraction is it when its flipped over, 5/2 right? So now we change the division into multiplication, you may or may not have heard this phrase:

Keep, Change, Flip

so now our equation looks like this:

4/3 (5/2)

In a multiplication problem it dosent matter if the denominators are the same so we just straight up multiply, which gives us 20/6. We can still simplify this by 2, so 20 divided by 2 is 10, and 6 divided by 2 is 3, so our new fraction is 10/3, now we can simplify it again to make it proper, so its 10 divided by 3, the numerator goes inside and the denominator goes outside, this gives us 3r1, the denominator (the outside number) will becomes the mixed number, the remainder will become the numerator, and the answer will become the denominator, which gives us our final answer of:

3 1/3

Answer:

30

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠7 = 180 - 90

∠7 = 90°

see image below

Answer:

90°

Step-by-step explanation:

angle 7 is supplementary to the angle next to itself which has a measurement of 90° and since the sum of two supplementary angle would be 180° we can say that m<7 = 90° as well

the correct option is b

Step-by-step explanation:

When x = 0,

sin3x / 6x = 0 / 0, which is an indeterminate form.

Hence we use L'Hospital's rule:

d/dx (sin3x) = 3cos3x

d/dx (6x) = 6

Now we have 3cos3x / 6 or 0.5cos3x.

When x = 0, 0.5cos3x = 0.5(1) = 0.5.

Hence the limit is 0.5.

Using limits, it is found that the value of the function is of 0.5.

The limit given is:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x}[/tex]

The following property is used:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(ax)}}{ax} = 1[/tex]

Hence, multiplying the numerator and denominator by 0.5:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x} = 0.5\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{3x} = 0.5(1) = 0.5[/tex]

The value of the function is of 0.5.

To learn more about limits, you can take a look at https://brainly.com/question/24482719

Answer: the answer would be X E R

Step-by-step explanation:

Answer:

B.x= -4 and E. x= 10 are the answers