Find the measure of the remote exterior angle. m∠x=(197−5n)°m∠y=(6n+22)°m∠z=(n+7)°
A. 14
B. 91
C. 21
D. 127

Answer:

[tex] y = 4x + 3 [/tex]

Step-by-step explanation:

The equation of the table of values given can be written as [tex] y = 4x + 3 [/tex] .

When x = 0,

[tex] y = 4(0) + 3 [/tex]

[tex] y = 0 + 3 = 3[/tex] this corresponds with what we have in the table above.

Let's try another.

When x = 2,

[tex] y = 4(2) + 3 [/tex]

[tex] y = 8 + 3 [/tex]

[tex] y = 11 [/tex]

This also corresponds with what we have in the table.

Therefore, the equation of the table given is [tex] y = 4x + 3 [/tex] .

Answer:

No 1 would be 500 + 2400*30/100 = 500 + 720 = 1220

No 2 would be 500 + x*30/100

Step-by-step explanation:

Answer:

$1200 and 500+ .3x

Step-by-step explanation:

Use this equation: 500+ .3x and insert in 1200.

Made equation by taking garented amount, $500, and have that be added.  Sense you get 30 percent of of x (the amount of sales), have x be multiplied by .3 to get 30 percent.

Answer:

[tex]\boxed{x = 40}[/tex]

Step-by-step explanation:

Hey there!

Well angles like 142 and 2x + 22 equal each other because they are across from each other.

So we can set up the following,

142 = 3x + 22

Single out x

-22 to both sides

120 = 3x

Divide both sides by 3

x = 40

Hope this helps :)

Answer:

x=40

Step-by-step explanation:

142=3x+22

3x+22-22=142-22

3x=120

120/3=40

Answer:

its

1/7

step by step

Answer:

The answer is H because there are 7 balls in total and two of which is red so the possiblity of getting the red ball is 2/7

Answer:

Hey there!

This would be a 2.5% increase in salary.

Using the percent increase formula we find the answer to be a 2.5% increase.

Let me know if this helps :)

Answer:

2.5%

Step-by-step explanation:

((new - original) / original) * 100

328-320 = 8/320 = 0.025

0.025 * 100 = 2.5

Answer:

Solution: (-4,-3)

Step-by-step explanation:

We need to complete the solution set of given graph.

We are given two graph one straight line and one parabola. We can see in graph both intersect at two points.

At x=-4 and x=-1

We can easily find the value of y corresponding to the value of x using given graph.

At x=-4,

First we draw a vertical line at x=-4 and see where it cut graph. From that point draw a horizontal line and see where y-axis cut.

The value of at x=-4 would be -3

Please see the attachment and see the vertical and horizontal line.

Thus, The Solution is (-4,-3)

Answer:

a(1) = 72

a(n) = a (n-1) - 18

Step-by-step explanation:

This is a simple series of multiplication of 18 . If we divide all the numbers by 18 we get

72/18, 54/18, 36/18. 18/18, 0/18

4      , 3      , 2     , 1 ,       0

So we can see that the numbers are in  decreasing order as the multiples of 18.

in other words the first term is a= 72

from which we subtract 18 and get 54 and so on.

So the general rule would be

a(1) = 72

a(n) = a (n-1) - 18

Where n and (n-1 ) are subscripts. We are just subtracting 18 from the number to get the answer.

72-18= 54

54-18= 36

36-18= 18

18-18=0

Answer:

10.5% compounded quarterly will be worth more at the end of 7 years.

Step-by-step explanation:

Investment 1:

Principal=$1,000

t=7 years

n=12 months

r=9%=0.09

FV=PV(1+r/n)^nt

Where,

FV=future value

PV=present value

r=interest rate

t=time (years)

n=number of periods

FV=PV(1+r/n)^nt

=1000(1+0.09/12)^12*7

=1000(1+0.0075)^84

=1000(1.0075)^84

=1000(1.8732)

=1,873.2

FV=$1,873.2

Investment 2:

Principal=$1,000

t=7 years

r=10.5%=0.105

n=4

FV=PV(1+r/n)^nt

=1000(1+0.105/4)^4*7

=1000(1+0.02625)^28

=1000(1.02625)^28

=1000(2.0658)

=2,065.8

FV=$2,065.8

10.5% compounded quarterly will be worth more at the end of 7 years.

Answer:

A=[tex]\frac{a+b}{2} (h)[/tex]

Step-by-step explanation:

Option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

The options are:

We have a formula for finding the area of the trapezoid:

[tex]\rm A= \dfrac{1}{2}h(b_1+b_2)[/tex]

Make a subject h and solve for h:

[tex]\rm \dfrac{2A}{(b_1+b_2)}= h[/tex]

or

[tex]\rm h = \dfrac{2A}{(b_1+b_2)}[/tex]

[tex]\rm b_2 = \dfrac{2A}{h}- b_1[/tex]

[tex]\rm b_1 = \dfrac{2A}{h}- b_2[/tex]

Thus, option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.

Learn more about the trapezoid here:

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Answer:

33.3

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

a=2

b=3

3a^2+4b^2

3(2)^2+4(3)^2

3(2)(2)+4(3)(3)

3(4)+4(9)

12+36

48

Hope this helps ;) ❤❤❤

Step-by-step explanation:

-16t2 + 47t + 3 = 0

-16t2 + 48t - t + 3 = 0

-16t( t - 3) - 1 ( t - 3) = 0

-16t - 1 = 0. t - 3 = 0

-16t = 1 t = 3

t = 1/ - 16.

Answer:

$12165.97

Step-by-step explanation:

100 + 4.1 = 104.1%

104.1% = 1.041

$5670 x 1.041^19 = $12165.97

Answer:

daily

Step-by-step explanation:

To answer this try plugging in each type of compund: daily, monthly, quarterly, and annually.

5670(1+0.041/365)^(365*19)

= 12356.04

365= daily

so your answer would be that the interest compounds daily.

Answer:

B. 945 m^3

Step-by-step explanation:

We just need to find the volume of the big box and the small box and find the difference.

To find the volume of a box, we multiply length, width, and height

Big box:

15.3x7x10=1071

1071

Small box:

4.2x3x10=126

126

1071-126=945

945 m^3

Answer:

b

Step-by-step explanation:

Answer:

option (c)

Step-by-step explanation:

g.f= g(f(x))

= g(x2 -3)

= (x2 -3)+1

=x2 -2

The composite function g.f is option c) x² - 2.

Functions which are formed by composing two or more functions in a way that one's output is another's input are called composite functions. They are also called function of functions.

Given: f(x) = x² - 3 and g(x)= x+1

The composite of the function;

g.f= g(f(x))

= g(x²-3)

= (x² -3)+1

= x² -2

Thus, The composite function g.f is option c) x² - 2.

Learn more about function;

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Answer:

1/4 was eaten by mama and Baby also ate 1/4

Step-by-step explanation:

goldilocks got 0/4

if papa ate half and baby and mama each ate 1/4 they equal up to 2/4 which is 1/2

papa ate 1/2 and 1/2+1/2=1

Mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.

The fraction is a rational number that simply divides two numbers and is written in the form a/b where a is called the numerator and b is called the denominator.

Let the full part of the pie is a.

Papa bear ate 1/2 part of the pie.

Then papa bear ate = (1/2)a

rest of the pie is= a- (1/2)a= (1/2)a

Mama bear ate (1/2) of the rest of the pie.

so mama bear ate = (1/2)(1/2)a= (1/4)a part of pie
rest of pie after mama bear ate = (1/2)a- (1/4)a= (1/4)a

Then baby bear ate (1/2) of the rest of the pie.

so baby bear ate = (1/2)(1/4)a= (1/8)a part of pie
rest of pie after baby bear ate = (1/4)a- (1/8)a= (1/8)

The rest of the part was left for GoldLiocks.

Therefore mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.

Learn more about fraction

here: https://brainly.com/question/78672

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Answer:

c

Step-by-step explanation:

the correct answer is c

plz mark me brainliest

Answer:

∠RPS = 49º

Step-by-step explanation:

∠RPS + ∠QPR = 88º

(5x + 34) + (8x + 15) = 88

13x + 49 = 88

13x = 39

x = 3

plug x into equations:

∠RPS = 5(3) + 34

∠RPS = 15 + 34

∠RPS = 49º

check work:

∠QPR = 8(3) + 15

∠QPR = 24 + 15

∠QPR = 39

∠RPS + ∠QPR = 88º

49 + 39 = 88

Answer:

49

Step-by-step explanation:

(5x+34) + (8x+15)= 88

13x + 49 = 88

13x= 39

x=3

RPS= 5(3)+34

RPS= 15 +34

RPS= 49

Answer:

C

Step-by-step explanation:

C is the only situation in which there is a clear constant of proportionality and no offset (no initial value).  Claires rate is ($4.50 + $0.30)/book, or $4.80/book.

Answer:

1

Step-by-step explanation:

(-3 + 3) + (-2 + 3) =

= 0 + 1

= 1

Move the decimal so that there is one non-zero digit on the left of the decimal point. (The number of decimal spaces you move = exponent on 10) Since the decimal is moving to the left, we know the exponent is positive.

2 + 7 = 9

Answer: 9 * 10^16

Answer:

B

Step-by-step explanation:

From the graph we can notice that the coordinates of the cities are:

● A(2,3)

● B(6,-6)

There are many methods to figure out the distance between A and B. We will use the distance formula.

Let d be the distance between A and B.

● d = √[(2-6)^2 + (3-(-6))^2]

● d = √[(-4)^2 + (3+6)^2]

● d = √[ 4^2 + 9^2 ]

● d = √(16+81)

● d = √(97)

Answer:

The answer is B) 97 units

Step-by-step explanation:

From the graph we can notice that the coordinates of the cities are:

● A(2,3)

● B(6,-6)

There are many methods to figure out the distance between A and B. We will use the distance formula.

Let d be the distance between A and B.

● d = √[(2-6)^2 + (3-(-6))^2]

● d = √[(-4)^2 + (3+6)^2]

● d = √[ 4^2 + 9^2 ]

● d = √(16+81)

● d = √(97)

Answer:

$319.93

Step-by-step explanation:

We can find the total cost of the game system by multiplying the price before tax by 1.07.

299(1.07) = 319.93

= $319.93

Answer:

3.14 units²

Step-by-step explanation:

The key realization here is that this shape is one quarter of a circle.

Therefore, it's area will be [tex]\frac{1}{4}[/tex] of the whole circle's area.

So, let's first find the area as if this were a whole circle.

The formula is [tex]\pi r^2[/tex], and we know that the radius, r, is 2. So:

[tex]\pi\cdot2^2\\\\\pi\cdot4\\\\3.14\cdot4\\\\12.56[/tex]

Now we need to find one fourth of this, we can do this by dividing by 4.

[tex]12.56\div4=3.14[/tex]

Hope this helped!

Answer:

pi units squared

Step-by-step explanation:

(cant find pi sign)

(pi times r^2)/4

4pi/4

pi

Answer:

[tex]\large \boxed{\mathrm{2 \ meters}}[/tex]

Step-by-step explanation:

The triangle formed is a right triangle.

We can use trig functions to solve.

The maximum length of the seesaw is the length of the hypotenuse of the triangle.

sin θ = opp/hyp

Let x be the hypotenuse length.

sin 30 = 1/x

x = 1/sin30

x = 2

The maximum length of the seesaw is 2 meters.

Answer:

2

Step-by-step explanation:

Take the right triangle formed by the seesaw.

Let x be the maximum heigth that we are looking for

● sin 30° = 1/x

Switch x and sin 30°

● x = 1 /(1/2)

● x = 1 ×(2/1)

● x= 1×2

● x = 2

Answer:

5

Step-by-step explanation:

-32=-7n-12+3n

-32=-7n+3n-12

-32=-4n-12

-4n=-32+12

-4n=-20

n=-20/-4

n=5

Answer:

[tex]n=5[/tex]

Step-by-step explanation:

[tex]-32=-7n-12+3n\\\text{Combine Like Terms}\\-32=-7n+3n-12\\-32=-4n-12\\\text{Isolate the Variable}\\-32+12=-4n-12+12\\-20=-4n\\\text{Divide each side by -4}\\n=5[/tex]

Answer:

70

80

Step-by-step explanation:

Assuming these ratios stay consistent, if each plant recycled 350 total bottles in a day, plant B would recycle___70____ more red bottles than plant A. Plant C would recycle_____80___________ more red bottles than plant D.

A = We first multiply 150 x 2.333 (2 1/3)  = 350 tbottles 60 x 2.333 = 140

B = Then multiply  350/200  = 200 x 1.75 350 tbottles  RED = 120 x 1.75=210

First answer = 210-140 = B recycles 70 more than A

C = We first multiply 175 x 2 = 350 tbottles  RED = 110 x 2 = 220

D = We first find LCM of 180 and 350

Then find 18x now equals 1/10 x 35x tbottles RED = 72 / 18 = 4  then 4 x 35 = 140

Second answer = 220-140 = C recycles 80 more than D.

Answer:

Plant B would recycle 60 more red bottles than plant A. Plant C would recycle 38 more red bottles than plant D.

Hope this helps!

Sorry for answering so late!