The local pizza shop sells several special items.
Price
Item
Sales tax is 5 percent. Find the amount of tax for each
item in the table. Round to the nearest hundredth.
Tax for Italian Salad:
Italian Salad
$3.99
Tax for Lasagna:
Tax for Spaghetti:
Tax for Fettuccini Alfredo:
Lasagna
$8.50
Spaghetti
$4.29
Fettuccini Alfredo
$7.17
Done
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Answer:

See explanation

Step-by-step explanation:

True Mathematical Statement

[tex]\text{If }\sqrt{x}=a$ and \sqrt{y}=b,$ then \sqrt{xy}=ab[/tex]

False Mathematical Statement

[tex]\text{If }\sqrt{x}=a$ and \sqrt{y}=b,$ then \sqrt{x+y}=a+b[/tex]

To show using a counterexample that the statement isn't true.

[tex]\text{Let x}=16\\\text{Let y}=9\\\sqrt{16}=4\\\sqrt{9}=3\\\sqrt{16+9}=\sqrt{25}=5\\a+b=3+4=7\\5\neq 7[/tex]

Therefore, the mathematical statement is false.

Answer:

C. -10,000

Step-by-step explanation:

As x approaches zero, f(x) approaches infinity or negative infinity.

Answer: C. -10,000

Answer:

-10,000

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

As we know that all four sides and angles of a square are equal to each other plus the diagonal is right angled to each other as they intersect at 90 degree i.e perpendicular

It contains the identical length i.e congruent

Hence the given statement is true i.e diagonal of a square are congruent  to each other

Answer:

10\7

Step-by-step explanation:

7x-4=6

7x=6+4

7x=10

7x\7=10\7

x=10\7

Answer:-13/3

Step-by-step explanation:

Answer:

Out of the 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30 total students, 4 + 3 = 7 are freshmen so the answer is 7 / 30 * 100 = 23%.

Answer:

23%

Step-by-step explanation:

4 + 6 + 2 + 2 + 3 + 4 + 6 + 3

There are total of 30 students.

4 + 3

7 students are freshman.

Find the percentage.

7/30 × 100

700/30 = 23.333333...

Round to nearest whole percent.

⇒ 23%

Answer:

The answer is below

Step-by-step explanation:

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Answer:

Let the amount of dough needed for a small pizza be S, the amount of dough needed for a medium pizza be M and the dough needed for a large pizza be L.

The amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza, therefore:

M = (3/2)S

The amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Therefore

L = (5/2)S

the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. That is:

L = M + S

(5/2)S = (3/2)S + S

5S = 5S

The equation cannot be solved.

But if he wants the amount of dough for a large pizza to be 5/2 kg.

L = M + S

(5/2) = (3/2)S + S

S = 1 kg

Answer:

248.96 which is approximately 249

Step-by-step explanation:

2.2^7

The coefficients are;

1,7,21,35,35,21,7,1

So the terms we want to use are 1,7,21 and 35

We can write 2.2 as 2+ 0.2

So the approximations are;

1(2)^7(0.2)^0 + 7(2)^6(0.2) + 21(2)^5(0.2)^2 + 35(2)^4(0.2)^3

= 128 + 89.6 + 26.88 + 4.48 = 248.96

Answer:

transformed function, g (x) = (1/5)(-x)+7

Step-by-step explanation:

Assuming

f (x) = -x           (and not f(x)-=x)

To compress/expand, we apply

g (x) = a*f(bx-k)+h

where

a=vertical stretch factor, a= 1/5 for compression (to stretch 5 times, a=5)

b=horizontal compression factor (=1 i this case)

h=vertical translation (=7)

k=horizontal translation (=0)

So the transformed function,

g (x) = (1/5)(-x)+7

Answer:

Slope would equal 3.

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

Plug in you get (8-2)/8-6)

Simplify (6)/(2)=3

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

A vertex is the common endpoint between two line segments, aka the points of a shape. If we count the vertices, we find 12 of them.

Answer:

There are 12 vertices on this solid

Step-by-step explanation:

Answer:

The total number of students who attended the talk is 100.

Step-by-step explanation:

We are given that halfway through the talk, 10 women withdrew and it  was observed that the number of men was twice that  of women.

Then, almost at the end of the talk,  45 men withdrew and it was observed that the number of women was  twice that of men.

Let the number of women who attended the talk be 'w' and the number of men who attended the talk be 'm'.

Now, according to the question;

                          [tex]m = 2 \times (w-10)[/tex]

                          [tex]m = 2w-20[/tex]   ----------------- [Equation 1]

                             [tex](w-10) = 2(m-45)[/tex]

                              [tex]w-10= 2m-90[/tex]

                              [tex]w= 2m-80[/tex]

                              [tex]w= 2(2w-20)-80[/tex]        {using equation 1}

                              [tex]w= 4w-40-80[/tex]

                              [tex]4w-w= 120[/tex]

                              [tex]3w= 120[/tex]

                               [tex]w=\frac{120}{3}[/tex]  = 40

Now, putting the value of w in equation 1 we get;

                               [tex]m = 2w-20[/tex]

                               [tex]m = 2(40) -20[/tex]

                                    = 80 - 20 = 60

So, the number of men who attended the talk is 60 and the number of women is 40.

Hence, the total number of students who attended the talk is (60 + 40) = 100.

Answer:

B

Step-by-step explanation:

Use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-1,-3) be [tex]x_1[/tex] and [tex]y_1[/tex], while (11,-8) be [tex]x_2[/tex] and [tex]y_2[/tex].

Thus:

[tex]d=\sqrt{((11)-(-1))^2+((-8)-(-3))^2[/tex]

[tex]d=\sqrt{12^2+(-5)^2}[/tex]

[tex]d=\sqrt{144+25} =\sqrt{169} =13[/tex]

Answer:

For example, the position of a planet is a function of time. ... A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.

Step-by-step explanation:

Answer:

SD=10

Step-by-step explanation:

S=the intersection of the medians

SD=JD/3

SD=30/3

SD=10

Answer:

3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A linear function is when the y value increases or decreases at a constant rate of change whenever the x value increases or decreases. All y values increases by 1/2 every time the x values increases by 1.

Hopefully this helps & gets brainliest.

Answer:

Well, Your best choice is y=1/4x+ 1

Sorry, I don't have a explanation. Hope This Helps!!~

Answer:

4x-12-8=16

4x=16+8+12

4x=36

x=9

Answer:

Solution,

Onions less than 60 grams = 2 --> Pickling

Onions greater than 120 grams = 5 + 3 = 8 --> Market

Onions between 60 and 120 = 13---> Processing

Total frequency = 2 + 8 + 13 = 23

Now,

[tex]x = \frac{13}{23} \times 360[/tex]

[tex]x = 203.48[/tex]

[tex]x = 203.5[/tex]

Hope this helps ..

Good luck on your assignment...

Answer:

x=190°

Step-by-step explanation:

find the frequency of the given numbers dividing by their numbers

onions less than 60g=(2+2/2)=²/9

onions greater than 120g=(5+3/2)= 4 (4+3/2). =3.5/9

To convert into degrees so that they can fit in the bar graph multiply the frequencies by 360 that is:

picking=²/9×360=80°

market=3.5/9×360=90°

x=360°-90°-80°

x=190°

confirmation

pie chart° add up to 360°

picking=80°

market=90°

x=190°

190°+80°+90°=360°

Step-by-step explanation:

Equation 1: [tex]3x^{2} +7x-6[/tex]

Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant.

Conditons that need to be satisfied: B can be 0 in only one question, parabola should open up and have a negative y intercept.

1. The parabola should open upwards: a> 0

2. [tex]3x^2+7x-6[/tex] (a>0), y-int is negative (0s for x's)

                     3(0)^2 + 7(0) -6

                                   y= -6

Step 2:

1. Factor the original equation: (3x-2)(x+3)

x=2/3, -3

2. Strategy used (factor by grouping)

Equation 2: -[tex]x^{2}[/tex] + 3x - 6

Equation 2 should represent a parabola that opens down and has a negative y-intercept.

Parabola that opens down = a<0

Ax^2 + Bx + C

-[tex]x^{2}[/tex] + 3x - 6

Negative y-intercept: -(0)^2 +3(0) -6 = y= -6

Strategy to solve: Quadratic formula

Why? - This equation doesn't factor cleanly.

Show your work:

a= -1 b= 3 c= -6

Write the quadratic formula down ([tex]x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}[/tex]) ± not just +

Show step, solve.

x​= 1.5 + 1.9365i

Equation 3:

Sorry, I can't do this.

Equation 4 :[tex]x^{2} -1[/tex]

You decide.

Alright, easy parabola.

1. Does parabola open up or down. UP

2. Is there a vertical stretch or compression? NO

3. What is the y-intercept- (0,-1)

[tex]x^{2} -1[/tex]

Strategy: Simple factoring patterns (Difference of squares) -

(x+1)(x-1)

x = + 1

Show work: x^2 is square of x,

Equation 5: [tex]x^{2} -3x+15[/tex]

x^2−3x+15

a=1 b= -3 c=15

([tex]x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}[/tex]) ± not just +

Good luck! Sorry that I couldn't do equation 3, vertical stretches are not my thing.

Answer:

y=3/4 x+2

Step-by-step explanation:

y=mx+b

take two points from graph

(0,2) and (4,5)

find b when x=0 then y=b=2

find m : y2-y1/x2-x1=5-2/4-0

m=3/4

y=3/4 x +2

Answer:  4 + (−5)

An image of a horizontal number line is shown with labels from negative 2 to positive 6. An arrow begins at 0 to 4. Another arrow begins at 4 to negative 1.

Step-by-step explanation:  The arrow from 0 running to 4 is the graph of  how the point on the line is a positive 4: Four added to 0

The "additive inverse" means start there and go in the opposite direction. The arrow is 5 units long, so they ended up at -1 . Adding -5 is the same as subtracting 5

4 + (-5) = -1  is the additive inverse of  4-5= -1  

The descriptions of the number lines are well done, but difficult to sort out.

Answer:

4 + (−5)

Step-by-step explanation:

it is got it correct

Answer:

m∠QPR = 31°

Step-by-step explanation:

So, let's keep in mind that QPS = 47 Degrees

Given that, we find that 3x - 38 + 7x - 95 = 47

from this, 10x - 133 = 47

then => 10x = 180

x = 18

So now we plug it in

--> 3(18) - 38 = RPS

54 - 38 = 16

RPS = 16 Degrees

--> 7(18) - 95 = QPR

126 - 95 = QPR

QPR = 31 Degrees

and Thus, m angle QPR is equal to 31 Degrees

Checks:

16 + 31 = 47

Total = 47

So it is correct

Hope this helps!

The measure of angle QPR is 31°.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Given that, m∠QPS=47°, m∠RPS=3x-38° and m∠QPR=7x-95°.

Here, m∠QPS=m∠RPS+m∠QPR

3x-38°+7x-95°=47°

10x-133°=47°

10x=180°

x=18°

So, m∠QPR=7×18°-95°

m∠QPR=126°-95°

m∠QPR=31°

Therefore, the measure of angle QPR is 31°.

To learn more about an angle visit:

https://brainly.com/question/9811089.

#SPJ2

Answer:

7^1/3 * y^1/3

Step-by-step explanation:

(7y) ^ 1/3

We know that (ab) ^c = a^c * b^c

7^1/3 * y^1/3

Answer:

7^1/3 * y^1/3

Step-by-step explanation:

7^1/3 * y^1/3

Answer:

1.) 15,708cm^2/s

2) 47,124cm^2/s

3.) 109,956cm^2/s

Step-by-step explanation:

Given the following:

50cm/s is the radius of the ripple per second , that is, radius(r) of ripple after t seconds = speed * time(t)

Speed = 50cm/s

r = 50t

.area of a circle(A) = πr^2

Rate of change of area with radius :

dA/dt = π2r . dr/dt

Speed of ripple created = 50cm/s; this is the rate at which the radius changes with time (dr/dt)

dr/dt = 50cm/s

Rate at which area is increasing with time:

dA/dt = π2r . dr/dt

dA/dt = π2(50t).50

dA/dt = 5000πt

After 1 second:

dA/dt = 5000π(1)

= 15,707.963cm^2/s

After 3 second:

dA/dt = 5000π(3)

= 47,123.889cm^2/s

After 7 second:

dA/dt = 5000π(7)

= 109,955.74cm^2/s

Answer:

D. the slope of f(x) is greater than the slope of g(x)

Step-by-step explanation:

slope of f(x) =rise/run

=y2 -y1 / x2 -x1

slope of f(x)= -1-2/1-0= -3

g(x)= -5x-6

slope of g(x)= -5

-3>-5

D. the slope og f(x) is greater than the slope of g(x)

Answer:

[tex]a_n = 2(5)^{n-1}[/tex]

Step-by-step explanation:

Explicit Geometric Formula: [tex]a_n = a_1r^{n-1}[/tex]

a₁ is 1st term

r is common ratio

n is term number

Step 1: Find common ratio r

r = 10/2 = 5

Step 2: Plug variables into formula

[tex]a_n = 2(5)^{n-1}[/tex]

Answer:

This is a geometric sequence with a₁ = 2 and r = 5 where a₁ is the first term and r is the common ratio.

Explicit formula: aₙ = a₁ * r ⁿ⁻¹

The answer is aₙ = 2 * (5ⁿ⁻¹)

Answer:

The answer is $60. $30 × 12 = $360 – $300 = $60.

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

Step 1:  it is  5  x 10^-6 not 5 x 10^-5.

Step 5 : the result of the addition is 170 x 10^-4 not 170 x 10^-8.

Answer: yes that is correct explanation: