Sarah had a party and ordered pizzas for everyone to share. If she bought 5 pizzas for $62.50, how much did each pizza cost? 12.50,312.50,13.50,15.62

[tex]\int {12x+5} \, dx[/tex]

For this problem, let's first apply the intergral sum rule.

[tex]\int {12x+5} \, dx = \int{12x} \, dx + \int{5}x \,dx[/tex]

Then, we'll use the reverse power rule on each of these integrals.

[tex]\int{12x} \,dx = 6x^2+C[/tex]

[tex]\int{5} \,dx = 5x+C[/tex]

So the indefinite integral of [tex]\int{12x+5} \,dx[/tex] is [tex]6x^2+5x+C[/tex].

Remember that we need our constant of integration, [tex]C[/tex], because of if we take the derivative of a constant, it'll be 0.

Hope this helps!

Hi there!

[tex]\int\limits {12x+5} \, dx[/tex]

Recall the following rules:

[tex]\int\limits {x^n} \, dx = \frac{x^{n+1}}{n+1}[/tex]

Use this rule to evaluate. Remember to include the constant:

[tex]\int\limits {12x+5} \, dx = \frac{12x^{1+1}}{1+1} + 5x +C[/tex]

[tex]\int\limits {12x+5} \, dx = 6x^2 + 5x + C[/tex]

Answer:

$4320

Step-by-step explanation:

it costs $5,760 for 16,000, so divide 5,760/16,000 to find the cost for each shade ball, .36 dollars. Then multiply .36 by 12,000 to find 4320. Then just don't forget your unit ! add a $ or 'dollars'

Answer:

No

No

Yes

Yes

No

Step-by-step explanation:

In this case we are looking at substitution, so any where you find x put three(3) in replace of it.

And remember the answer should be 36,

I find it difficult to type the answer so I will take a picture instead.

Answer:

  $12

Step-by-step explanation:

Jane's commission is the product of sales and her rate.

  commission = (20)($4.00)(0.15) = $12.00

Jane's commission is $12.00 if she sells 20 boxes of pencils.

Answer:

yes,the distributive property can be rewrite as i have given below:

(8×8)-(8×4)

Answer:

it's -4 is the answer by the way

Answer:

659

Step-by-step explanation:

11-1=10;10/2=5;5+1=6;6+5=11

the hundreds place has 6

the tens place has 5

the ones place has 9

659

Answer: C

Step-by-step explanation: If point P(3,10) is reflected across the line y=1, the coordinates of it's reflection image is (3,-8)

We want to find the perimeter of the given figure. We will find that the perimeter of the figure is 35.7 units.

Remember that for a circle of diameter D, the perimeter or circumference is:

p = pi*D

where pi = 3.14

So we have a half-circle and an equilateral triangle, and we know that the equilateral triangle sides measure 10 units each.

Notice that the diameter of the half-circle is equal to the side length of the triangle, then the diameter is D = 10

Then the length of the arc of the half-circle is just given as half the circumference of a circle with a diameter of 10 units, this is:

C = (1/2)*3.14*10 = 15.7

And to this we must add the two sides of the triangle that belong to the perimeter, remember that each one measures 10 units, then the total perimeter is:

Perimeter = 15.7 + 10 + 10 = 35.7

If you want to learn more, you can read:

https://brainly.com/question/9350935

Answer:8x-40

Step-by-step explanation:

Because when we simply 4(x-5)/2

We multiply both sides by 2 because the inverse operations of division is multiplication. 2*4(x-5)*2/2 we cancel two by two then it leave us 4*2(x-5).

Next four times two is eight. So 8(x-5) we distribe eight that means eight times x and 5, 8x-40thos is the answer. Hope this help

cyclist a speed is d = v × t

so you can find velocity of a and b.

then compare them both.

Answer:

A) 25

B) 64

Step-by-step explanation:

Hope this helps :))

Step-by-step explanation:

x= 5

a) 5² = 5×5 =25

b) (5+3)² = 8²

= 8 × 8

= 64

The amount that will be spent is $24.50, the amount saved will be $10.50, and the percentage saved will be 30%.

The amount that will be spent will be:

= 7/10 × $35 = $24.50

The amount that will be saved will be:

= $35 - $24.50 = $10.50

The fraction of the original price that is saved will be:

= 10.50/35 × 100

= 30%

Read related link on:

https://brainly.com/question/25763817

[tex] \times 2 \: y \: - 2xy = \times 4 + 3 = \times - \frac{3}{4} \: y \: e \: r[/tex]

Answer:

use this equation: GPE=mgh

Step-by-step explanation:

GPE = gravitational potential energy = J

m = mass = Kg

g = gravitational field = N/kg = world's gravitational field is 9.8N/kg

h = height = m

Use Pythagorean theorem,

[tex]29^2 = 21^2 + x^2 \\\\\implies x^2 = 29^2 -21^2 \\\\\implies x^2 = 400\\\\\implies x = \sqrt{400} = 20[/tex]

Answer:

this question

Step-by-step explanation:

Answer:

The first question was this: https://brainly.com/question/420 ur welcome :)

Step-by-step explanation:

Answer: 19

Step-by-step explanation:

2 lines crossing create 2 pairs of equal angles. The opposite angles are the same. Same goes in a circle.

9514 1404 393

Answer:

  arc DC = 19°

Step-by-step explanation:

The acute central angles are vertical angles, so have the same measure. Vertical angles with the same measure intercept arcs with the same measure. The measure of the arc is the measure of the central angle it subtends.

Arc AB = Arc DC = 19°

Answer:

ok lol

Step-by-step explanation:

Answer:

it is in quadratic equation meaning you use Plus or minus

Answer:

I is both the plus and minus sign so and 2+1 and subtract 2-1 both answers are the answer

Step-by-step explanation:

The plus–minus sign, ±, is a mathematical symbol with multiple meanings. In mathematics, it generally indicates a choice of exactly two possible values, one of which is obtained through addition and the other through subtraction.

The sign may also represent an inclusive range of values that a reading might have.

Answer:

x=-1/2

Step-by-step explanation:

using almighty formula

x= -b+or-√b²-4ac/2a

x=-1+ or -√-1+4(1)(1/4) divided by 2(1)

x=-1+ or -√-1+1 divided 2

x=-1+0 divided by 2

x=-1/2

Answer:

Step-by-step explanation:

First off, your written problem doesn't match the one you typed. The written problem doesn't have a solution, so I'm going with the typed one (cuz I can solve that one!).

Begin by noting that [tex]e^{-\frac{1}{2}[/tex] is a constant and can be pulled out front of the integration symbol:

[tex]e^{-\frac{1}{2}}\int\limits^\pi _0 {e^{-x}} \, dx[/tex]

Choose u = -x, so du/dx = -1 and -du = dx. Put that - out front along with what's already there to get:

[tex]-e^{-\frac{1}{2}}\int\limits^\pi _0 {e^{-u}} \, du[/tex]

The antiderivative of e^-u is e^-u, so putting it all together and applying the First Fundamental Theorem of Calculus:

[tex]-e^{-\frac{1}{2}}(e^{-\pi }-e^0)[/tex] which simplifies to

[tex]-e^{-\frac{1}{2}}(e^{-\pi }-1)[/tex] which simplifies to

[tex]-e^{-\pi -\frac{1}{2}}+e^{-\frac{1}{2}}[/tex] which has a decimal equivalency of .5803200934

Answer:It takes 14 pints of blueberries to make 4 jars of blueberry jam.

Step-by-step explanation:

4) d

let's firstly convert the mixed fractions to improper fractions, and then proceed

[tex]\stackrel{mixed}{4\frac{3}{8}}\implies \cfrac{4\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{35}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill\\\\ -4\frac{3}{8}-\left( -1\frac{1}{4} \right)\implies -\cfrac{35}{8}-\left( -\cfrac{5}{4} \right)\implies -\cfrac{35}{8}+\cfrac{5}{4}\implies \cfrac{-(1)(35)~~ +~~(2)(5)}{\underset{\textit{using this as LCD}}{8}}[/tex]

[tex]\cfrac{-35+10}{8}\implies -\cfrac{25}{8}\implies -3\frac{1}{8}[/tex]

5)

hmmm we can pick any of those %, hmmm let's use 18%, keeping in mind that the whole amount is really the 100% and that's say "x", hmmm we know the 18% of "x" is $5.87.

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 18&5.87\\ 100&x \end{array}\implies \cfrac{18}{100}=\cfrac{5.87}{x}\implies \cfrac{9}{50}=\cfrac{5.87}{x} \\\\\\ 9x = 293.5\implies x = \cfrac{293.5}{9}\implies x = 32.6\overline{1}\qquad \textit{about 32 bucks and 61 cents}[/tex]

Answer:

y=2x +5

Step-by-step explanation:

so 2 goes in the first blank and 5 goes in the second

Hope this helps!❆

Answer:  [tex]\frac{tv^3}{u^8}\\\\\\[/tex]

This is the fraction tv^3 all over u^8

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

Work Shown:

[tex]\frac{t^2uv^7}{tu^9v^4}\\\\\\\frac{t^2}{t}*\frac{u}{u^9}*\frac{v^7}{v^4}\\\\\\t^{2-1}*u^{1-9}*v^{7-4}\\\\\\t^{1}*u^{-8}*v^{3}\\\\\\\frac{t}{1}*\frac{1}{u^8}*\frac{v^3}{1}\\\\\\\frac{t*1*v^3}{1*u^8*1}\\\\\\\frac{tv^3}{u^8}\\\\\\[/tex]

In the third step, I used the rule (a^b)/(a^c) = a^(b-c)

To make the negative exponent turn positive, we apply the reciprocal to the base.

Answer:

2.42

Step-by-step explanation:

Answer: 2.4

Step-by-step explanation: It is 2.4 because it is 2 remainder 6