Determine if the function below is continuous.

Answer:

Hey there!

Marked down by 20 percent is equal to 80 percent of the original value.

4.5(0.8)=3.6

9 percent sales tax

3.6(1.09)=3.92

Hope this helps :)

Answer:

$3.92

Step-by-step explanation:

I took the test

Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given: Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items.

Rock beats Scissors, Scissors beat Paper, and Paper beats Rock.

We assume that both Jim and Renee have an equal chance of choosing any one of the hand signs.

Since, there are 3 possibilities, either Jim win or Renee or its a tie.

So, the probability that Jim will win: [tex]\dfrac{\text{Outcomes for Jim to win}}{\text{Total outcomes}}[/tex]

[tex]=\dfrac{1}{3}[/tex]

Hence, the required probability is [tex]\dfrac{1}{3}[/tex] .

Answer:

y = 4x

Step-by-step explanation:

A direct variation is written in the form

y = kx where k is the constant of variation  ( or the slope)

y = 4x

Answer:

d. y = 4 x

Step-by-step explanation:

A direct variation

1. has no y-intercept

2. has a constant positive slope.

Out of

y = 4 x + 1   [has y-intercept of +1]

y = 1/4 x       [direct variation with a slope of 1/4, not 4]

y = -4 x        [has a negative slope]

y = 4 x         [direct variation with slope of 4]

Answer:

The total revenue will decrease.

Step-by-step explanation:

The price elasticity of demand is 1.30 that shows that change in the quantity of tomatoes is greater than the change in the price of tomatoes. The hail storm will decrease the quantity (supply) of tomatoes. However, this decrease in supply will increase the price but the ratio of change in quantity will be more than the ratio of change in price. Thus, total revenue from tomatoes will also fall.

Answer:

36

Step-by-step explanation:

9/5 = z/20

First, we have to divide what we know

9/5 = 1.8

1.8 = z/20

Next, we have to multiply both sides of the equation by 20 to cancel out the division sign

1.8•20 = z/20•20

36 = z

Answer:

6x²-x-15

degree: second

leading coefficient : 6 , -1

constant : -15

Step-by-step explanation:

(2x + 3) (3x – 5)=

6x²+9x-10x-15=

6x²-x-15

degree: second

leading coefficient : 6 , -1

constant : -15

Answer:

The lengths 14, 24, and 26 cannot be the sides of a right triangle.  The lengths 30, 72, 78 can be the sides of a right triangle.

Step-by-step explanation:

To prove that the lengths 14, 24, and 26 cannot be the sides of a right triangle:

a=14, b=24, c=26

Pythagoreon theorem: a^2+b^2=c^2

substitute values in: 14^2+24^2=26^2

simplify: 196+576=676

simplify again: 772=676, which is not true

This proves that the lengths 14, 24, and 26 cannot be the sides of a right triangle.

To prove that the lengths 30, 72, and 78 can be the sides of a right triangle:

a=30, b=72, c=78

Pythagoreon theorem: a^2+b^2=c^2

substitute values in: 30^2+72^2=78^2

simplify: 900+5184=6084

simplify again: 6084=6084, which is true

This proves that the lengths 30, 72, and 78 can be the sides of a right triangle.

Answer:

true, true, false,false,  false,true,true,false

See explanations below

Step-by-step explanation:

If three sides can make a RIGHT triangle, then the sum of squares of the two shorter sides EQUALS the square of the third side, using the Pythatorean theorem.

Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?

The lengths 14, 24 and 26 cannot be sides of a right triangle.

TRUE, A^2+B^2-C^2=4sqrt(6)

The lengths 30, 72, and 78 can be sides of a right triangle.

TRUE, A^2+B^2-C^2= 0

The lengths 14, 24 and 26 can be sides of a right triangle.

FALSE, A^2+B^2-C^2=4sqrt(6)

The lengths 30, 72, and 78 cannot be sides of a right triangle.

FALSE, A^2+B^2-C^2= 0

The lengths 14, 24 and 26 can be sides of a right triangle.

FALSE, A^2+B^2-C^2=4sqrt(6)

The lengths 30, 72, and 78 can be sides of a right triangle.

TRUE, A^2+B^2-C^2= 0

The lengths 14, 24 and 26 cannot be sides of a right triangle.

TRUE, A^2+B^2-C^2=4sqrt(6)

The lengths 30, 72, and 78 cannot be sides of a right triangle.

FALSE, A^2+B^2-C^2= 0

Answer:

( 4,-2)

Step-by-step explanation:

y + 2 = -3 (x - 4)

We are given y = -2

-2+2 = -3 (x-4)

0 = -3(x-4)

Divide by -3

0 = x-4

Add 4 to each side

4 = x-4+4

4 =x

Answer:4

Step-by-step explanation:

Answer:

397.7 m²

Step-by-step Explanation:

The are of ∆UVW can be found ones we know the measure of 1 angle that is in between known lengths of two sides. Then, we would apply the formula, ½*a*b*sin(θ)

Where, a and b, are the lengths having an included angle (θ), in between them.

To find area of ∆UVW, we need m < V, side lengths of UV and VW.

m < V = 113°

VW = 29 m

UV = ?

Step 1: find UV using the Law of sines

[tex] \frac{UV}{sin(W)} = \frac{VW}{sin(U)} [/tex]

W = 34° [180 - (113+33)]

U = 33°

VW = 29 m

UV = ?

[tex] \frac{UV}{sin(34)} = \frac{29}{sin(33)} [/tex]

Multiply both sides by sin(34)

[tex] \frac{UV*sin(34)}{sin(34)} = \frac{29*sin(34)}{sin(33)} [/tex]

[tex] UV = \frac{29*sin(34)}{sin(33)} [/tex]

[tex] UV = 29.8 m [/tex]

Step 2: find the area of the triangle

Area = ½*a*b*sin(θ)

a = 29.8 m

b = 29 m

θ = 113°

Area = ½*29.8*29*sin(113)

Area = 397.7 m² (nearest tenth)

Answer:  A, C, D

(3/20)*20 = 0.15*20 = 3

0.15*20 = 3

(15/100)*20 = 0.15*20 = 3

all expressions lead to the same result of 3

another thing to notice

3/20 = 15/100 = 0.15 = 15%

which are multiple ways to say the same thing just in a different form

Answer:

3, 8, 12, 12, 14, 20, 21, 23, 26, 34

stem         leaf

0               3     8

1                 2     2       4               (you have 12,12,14)

2                0      1       3        6    ( numbers 20,21,23,26)

3                 4                               ( number 34)

Answer:

70

Step-by-step explanation:

Answer:

[tex]4\sqrt{2}\\\\7\sqrt{2} \\\\13\sqrt{2}[/tex]

Step-by-step explanation:

Well the diagonal using pythagora's theorem:

[tex]x\sqrt{2}[/tex] where x is the lenght is the side of the square

so when x=4

[tex]4\sqrt{2}[/tex]

when x=7

[tex]7\sqrt{2\\}[/tex]

when x=13

[tex]13\sqrt{2}[/tex]

The length of diagonal is for (a=4) is [tex]4\sqrt{2}[/tex], for(a=7) is [tex]7\sqrt{2}[/tex] and for (a=13) is[tex]13\sqrt{2}[/tex].

Given side of squares.

We have to calculate the length of diagonal.

We know that in square shape,

length of diagonal [tex]=\sqrt{2} a[/tex], here a is the side of square.

So when square has a side of 4 then its diagonal becomes [tex]4\sqrt{2}[/tex].

when square has a side of 7 then its diagonal becomes [tex]7\sqrt{2}[/tex].

when square has a side of 13 then its diagonal becomes [tex]13\sqrt{2}[/tex].

Hence the length of diagonal is for (a=4) is [tex]4\sqrt{2}[/tex], for(a=7) is [tex]7\sqrt{2}[/tex] and for (a=13) is[tex]13\sqrt{2}[/tex].

For more details on length of diagonal of square follow the link:

https://brainly.com/question/16716787

Answer:

when there are a lot of options

to experiment

to test

Step-by-step explanation:

Answer:

1st one

Step-by-step explanation:

The rational function which is graphed below is  F(x)=-1/x, the correct option is B.

Function is a type of relation, or rule, that maps one input to specific single output;

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships;

Linear function is a function whose graph is a straight line;

We are given that;

The graph of the function

Now,

Points on 1/(x + 4);

The function y = 1/(x + 4) is a hyperbola. It has two branches that extend infinitely in opposite directions. The x-axis and y-axis are both asymptotes of the hyperbola.

Points on y= 1/x-4;

The function y = 1/(x - 4) is also a hyperbola. Its asymptotes are the vertical line x = 4 and the horizontal line y = 0;

Points on y = 1/(x-1);

The function y = 1/(x-1) is also a hyperbola. Its asymptotes are the vertical line x = -4 and the horizontal line y = 0.

Therefore, by the given graph function will be F(x)=-1/x;

Learn more about function here;

https://brainly.com/question/2253924

#SPJ7

Answer:

33 minutes

Step-by-step explanation:

To find the mean, you first must add up the values given.

45 + 25 + 35 + 20 + 40 = 165

Now, divide the sum by the number of values you have.

165/5 = 33

The mean number of minutes she spent practicing is 33.

Answer:

200 Recyclables Items

Step-by-step explanation:

The first step is to find the common ratio using this formula

Common ratio= Numbers of recyclable items/Number of minutes it takes to sort the recyclable item

Let plug in the formula

Common ratio =150/3 = 50

This means that we have 50 Recyclables Items per minute.

Now let calculate how many recyclable items that Faye can sort in 4 minutes

This means we are going to multiply 4 minutes by the 50 recyclable items per minutes

Hence,

4 * 50 = 200 Recyclables Items

Therefore Based on the ratio shown in the double number line, this means that Faye can sort 200 recyclable item in 4 minutes

Answer: 200

Step-by-step explanation: Since 150 divided by 3 is 50 add a 50 to 150 and you get 200

Answer:

yes, the base is 4

Step-by-step explanation:

Answer:

 is the correct answer.

Step-by-step explanation:

As per the question statement:  

Cost of Chocolate milk which is ordered already = $3.25.

Benjamin want his bill to be at most =  $30

Each stack of pancakes contains 4 pancakes.

Each stack of pancake costs= $5.50

Given that S represents the number of stacks of pancakes bought.

We have, Cost of 1 pancake = $5.50

Now, let us calculate the cost of the number of stacks of pancakes bought.

[tex]\text{Cost of one stack of pancakes}\times \text{Number of stacks of pancakes bought}[/tex]

i.e.  

[tex]5.50S[/tex]

So, total bill = Cost of chocolate milk shake + Money spent on stacks of pancakes = [tex]\$3.25+5.50S[/tex]

Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.

So, the inequality can be written as:

[tex]\bold{3.25+5.50S \le 30}[/tex]

Please refer to https://brainly.com/question/17138529 as well.

3.25+5.50S < (with line under it) 30

To add on to what isyllus said...

3.25+5.50S < (with line under it) 30 is the equation

16 pancakes is the amount.

:) hope this helps!

Answer:

last option

Step-by-step explanation:

It will take 200 / 5 = 40 months for Sara's phone to lose all its value, therefore, the domain is 0 ≤ t ≤ 40 because you can't have negative months. Since negative money is not a thing, the range has to be 0 ≤ V(t) ≤ 200 because it stops at 0 and starts at 200.

Answer:

144 m²

Step-by-step explanation:

top triangle area: (8 x 6) / 2 = 24

bottom triangle area: (8 x 6) / 2 = 24

back rectangle area: 8 x 4 = 32

left rectangle area: 6 x 4 = 24

right rectangle area: 10 x 4 = 40

add all: 144 m²

Answer:

There are 5 surfaces for which you will have to calculate area.

the back is 4 by 8  = 32 mi^2

The bottom is 4 by 6 = 24 mi^2

the tilted ramp 4 by 10 = 40 mi^2

There are 2 side triangles 8 by 6  area of 1 triangle = 8*6/2 = 24 mi^2

area of BOTH triangles = 2 * 24 = 48 mi^2

Total area = 32 + 24 + 40 + 48 = 144 mi^2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

when setting up the synthetic division

it starts with -1(2) = -2

here is your formula then

Answer: A rectangle is a type of parallelogram but there are other parallelograms like rhombi so a parallelogram is not a type of rectangle

Answer:

y = - 4

Step-by-step explanation:

Locate x = - 1 then follow the line down until it meets the curve and read the corresponding value on the y- axis at this point.

For x = - 1, y = - 4

Answer:

f(x)= -2(x-8)²+6

Step-by-step explanation:

First graph the points

you will get a parabola that has a vertex in (8,6) wich means h= 8 and k=6

so the equation is

to get a we will replace by the coordinates of a point for example (6,-2)

a is negative wich makes sense since the parabola opens down

Answer:

The algebraic expression is v = 2x

v is the volume of the sugar syrup and

x is the mass of sugar in grams.

Step-by-step explanation:

Let x be the mass of sugar in grams and v be the volume of sugar syrup.

So, mass of sugar in grams/volume of sugar syrup × 100 % = 50 %

x/v × 100 % = 50 %

x/v = 50/100

x/v = 1/2

v = 2x

So, the algebraic expression required is v = 2x where v is the volume of the sugar syrup and x is the mass of sugar in grams.

Step-by-step explanation:

Here,

ABCD is rhombus,

AB=9s+29

CD =10s -18

now, AB=CD (opposite side of rhombus is parallel and equal)

or,9s +29=10s-18

or, 10s -9s= 29+18.

The value of s is 47.

Therefore, the measure of AB is 9×47+29.

=452.

Hope it helps...

Answer:

Step-by-step explanation:

[tex]m\angle OFB=m\angle OCB=90^o\\\\so\ from\ BCOF:\\\stackrel{\big{\frown}} {CDF} =m\angle COF=360^o-2\cdot90^o-82^o=98^o \\\\\\ \stackrel{\big{\frown}} {CGF} =360^o-\stackrel{\big{\frown}} {CDF} =360^o-98^o=262^o[/tex]