There are 272 people in an audience. The ratio of adults to children is 5 : 3. How many are children?

Step-by-step explanation:

Angle at Center = 2 * Angle at Circumference

Therefore B = 2A.

When B = 100°, A = 100°/2 = 50° (B),

When A = 48°, B = 2(48°) = 96°. (C)

Answer: a and c are polynomials, b is not.

Step-by-step explanation:

A polynomial p(x) is written as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰

where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.

Notice that the powers need to be always natural numbers.

Now, let's analyze the options:

a) 3*x - 2

We can rewrite this as:

3*x¹ - 2*x⁰

Then this is a polynomial.

b) p² + 1/p    (in this case the variable is p)

the second term can be written as:

1/p = p⁻¹

Then we have a term with a negative power of p, this means that this is not a polynomial.

c) 3*y² - 2*y/3 + 1

Same as in the first case, we can rewrite this as:

3*y² - (2/3)*y¹ + 1*y⁰

This is a polynomial.

Answer:

42

Step-by-step explanation:

Answer: you spent 63

Step-by-step explanation:

Answer:

Wut...?

Step-by-step explanation:

Answer:

Add –3 to both sides

Step-by-step explanation:

edge 2021

Answer:

Gross pay = $2496

Step-by-step explanation:

Erica earns $24 an hour. She works extra shifts and earns time and a half for each hour.

Her extra earning starts over 40 hours.

Therefore, her extra earning above 40 hours = 1.5 × 24

                                                                           = $36 per hour

She worked for 44 hours in last week, her total earnings for last week

= (40 × $24) + (4 × $36)

= 960 + 144

= $1104

She worked for 52 hours this week, her total earnings for this week

= (40 × $24) + (12 × $36)

= 960 + 432

= $1392

Since, Erica was paid biweekly,

Her gross income = $1104 + $1392

                              = $2496

Answer:

SU < 22 cm

Step-by-step explanation:

Answer:

0.012461059

Step-by-step explanation:

Answer:

g00gle says 0.01246105919

Step-by-step explanation:

Answer: 1. Add 2. Multiple both sides 3. 15

Step-by-step explanation: hope this helps

Answer: 2 = − 7

4

+ 1

4

x

1.

✔ Add

Start Fraction 7 over 4 End Fraction to both sides.

2.

✔ Multiply both sides

by 4.

The solution is x =

✔ 15

.

Step-by-step explanation: i just did it on ed

Answer:

i tried but all i got was like 80 percent

Step-by-step explanation:

Given :

The length of Dwight's garden is 12.5 meters.

Dwight measured it but made a measurement error of 6%.

To Find :

The lowest and highest measurement Dwight could have made.

Solution :

Error in length measuring is :

[tex]\Delta \ l = 12.5\times 0.06 \\\\\Delta \ l = 0.75\ m[/tex]

Therefore, the lowest and highest measurement he could have is 12.5 - 0.75  = 11.75  meters and 12.5 + 0.75 = 13.25  meters.

Answer:

9. 4/1 or 4. 10. 0

Step-by-step explanation:

9.

Slope- y2-y1/x2-x1

11-7/4-3= 4/1 or 4

10.

Slope-y2-y1/x2-x1

7-7/5-0= 0/5

When 0 is the numerator of the slope, then the slope is 0.

Answer:

p = -2

q = -3

Step-by-step explanation:

Let us get the equation of the two graphs

General equation form is;

y = mx + b

m is slope and b is the y-intercept

For the first one;

y intercept is 1

So the equation is;

y = mx + 1

The x-intercept is -2

the value of y at the x-intercept is 0

0 = -2m + 1

1 = 2m

m = 1/2

so;

1/2 * p

p/2

q added to y-intercept;

q + 1

Let us get the equation of the second plot

y-intercept is -2

Equation is;

y = mx - 2

We can get slope using x-intercept

x-intercept is -2

0 = -2m - 2

2m = -2

m = -1

So;

p/2 = -1

p = 2 * -1 = -2

For the value of q;

q + 1 = -2

q = -2-1 = -3

Answer:

A. the domain is all real numbers. and

B.the y-intercept is 3

Answer:

A)  [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]

General Formulas and Concepts:

Calculus

Discontinuities

Integration

Step-by-step explanation:

Let's define our answer choices:

A)  [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]

B)  [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]

C)  [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]

D) None of these

We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.

Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.

∴ our answer is A.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Integration

Book: College Calculus 10e

Answer:

The dimensions of the cube would be:

Step-by-step explanation:

For this exercise, I suppose the measure of each cube is 1 unit, because there no says what is (you can replace it for ft, in, or another unit you need). How the big cube is formed by the 100.000 cubes smaller, and how a cube has its three measures equal: base, height, and width, you only need to obtain the cubic root of the total cubes (you use cubic root because you're gonna calculate a cube, for example, if you'd wanna calculate a square, you must obtain the square root of the total cubes):

How each cube measure is 1 unit, when you calculate the volume of the cube with the value obtained, you must obtain the total of the cubes:

In this form, you know the answer 46,41588834 is the right answer. I use the number with just two decimals (46,42 approximately) but you can use the complete number if you need.

Answer:

[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]

Hence, Option 'C' is true.

Step-by-step explanation:

Given the expression

[tex]z\left(-6.4\:-3.5x\right)[/tex]

Apply distributive law:   [tex]a\left(b-c\right)=ab-ac[/tex]

Here:  [tex]a=z,\:b=-6.4,\:c=3.5x[/tex]

so the expression becomes

[tex]z\left(-6.4\:-3.5x\right)=z\left(-6.4\right)-z\cdot \:\:3.5x[/tex]

                         [tex]=-6.4z-3.5zx[/tex]                 ∵  [tex]+\left(-a\right)=-a[/tex]

Therefore,

[tex]z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx[/tex]

Hence, option 'C' is true.

Answer:

140 miles

Step-by-step explanation:

Answer:

Stacy made £25.2 from the 18 loaves of bread. So She made £5.20 as a profit.

Step-by-step explanation:

18 loaves of bread × £1.4 = £25.2 Round it up = £25

£25.20 - £20 = £5.20 Round it up = £5

Stacy Made about £5 as profit.

Answer:

I'm guessing the angle 1 is supposed to be 74 degrees and not angle 2?

Step-by-step explanation:

Either way. Complementary angles always have a sum of 90°. 74+16=90 so it checks out

Answer:

E and D

Step-by-step explanation:

Just make a mental line which these letters connect to each other.

Answer:

x° = 11°

Z FGI = 60°

Step-by-step explanation:

If GH bisects Z FGI

then Z FGH = Z HGI

or, (3x - 3)° = (4x - 14)°

or, 3x° - 4x° = - 14° + 3°

or, x° = 11°

Z FGI = 33° - 3° + 44° - 14°

= 60°

Answer:

a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26

Step-by-step explanation:

a. What equation can you use to find the cost c of a sandwich

Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich  + cost of a whole ham sandwich.

total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,

$12.54 = $ 1.65 + c/2 + c

b. What is the value of c

We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c

collecting like terms, we have

$12.54 - $ 1.65 = c/2 + c

$ 10.89 = 3c/2

multiplying through by 2, we have

$ 10.89 × 2 = 3c

$ 21.78 = 3c

dividing through by 3, we have

c = $ 21.78/3

= $ 7.26

Answer:

15^3

Step-by-step explanation:

Since 15^4 means 15 x 15 x 15 x 15, therefore, just subtract the power 4 from one because you are dividing it by 15:

15^4 / 15 = 15^3

Answer: 153

Step-by-step explanation:

When we have a group of N elements, the total number of combinations of K elements ( K ≤ N) is:

[tex]C (N, K) = \frac{N!}{(N-k)!*K!}[/tex]

Where N! = N*(N - 1)*(N - 2)*...*2*1

In this case, we have a group of 18 people (then N = 18) and we want to see how many different combinations of 2 we can make (K = 2).

Using the above equation we get:

[tex]C(18, 2) = \frac{18!}{(18 - 2)!*2!} = \frac{18!}{16!*2!} = \frac{18*17}{2} = 9*17 = 153[/tex]

There are 153 different ways in which the manager can do this.