find the values of x and y

the answer that you're looking for is 5.5 or 5 1/2, it's the same thing.

The area is given exactly by the definite integral,

[tex]\displaystyle\int_{-3}^2(x^2+4)\,\mathrm dx=\left(\frac{x^3}3+5x\right)\bigg|_{-3}^2=\frac{95}3\approx31.67[/tex]

We can write this as a Riemann sum, i.e. the infinite sum of rectangular areas:

• Split up the integration interval into n equally-spaced subintervals, each with length (2 - (-3))/n = 5/n - - this will be the width of each rectangle. The intervals would then be

[-3, -3 + 5/n], [-3 + 5/n, -3 + 10/n], …, [-3 + 5(n - 1)/n, 2]

• Over each subinterval, take the function value at some point x * to be the height.

Then the area is given by

[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^nf(x^*)\Delta x_k=\lim_{n\to\infty}\sum_{k=1}^nf(x^*)\frac5n[/tex]

Now, if we take x * to be the left endpoint of each subinterval, we have

x * = -3 + 5(k - 1)/n   →   f (x *) = (-3 + 5(k - 1)/n)² + 4

If we instead take x * to be the right endpoint, then

x * = -3 + 5k/n   →   f (x *) = (-3 + 5k/n)² + 4

So as a Riemann sum, the area is represented by

[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^n\left(\left(-3+\frac{5k}n\right)^2+4\right)\frac5n[/tex]

and if you expand the summand, this is the same as

[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^n\left(13-\frac{30k}n+\frac{25k^2}{n^2}\right)\frac5n=\lim_{n\to\infty}\sum_{k=1}^n\left(\frac{65}n-\frac{150k}{n^2}+\frac{125k^2}{n^3}\right)[/tex]

So from the given choices, the correct ones are

• row 1, column 1

• row 2, column 2

• row 4, column 2

Answer:

Step-by-step explanation:

Step-by-step explanation:

Let x be the number of 10 cent coins

Let y be the number of 20 cent coins

given

[tex]x = y + 12 \\ x - y = 12[/tex]

as equation 1

and

[tex]0.1x + 0.2y = 5.4[/tex]

as equation 2.

Now we will use elimination method to solve simultaneous equations.

Now we multiply equation 1 by 0.2 to eliminate y and solve for x first.

[tex]0.2 \times x - 0.2 \times y = 12 \times 0.2 \\ 0.2x - 0.2y = 2.4[/tex]

Let this new equation be equation 3.

Now use equation 2 + equation 3.

[tex]0.1x + 0.2x + (0.2y + ( - 0.2y)) = 5.4 + 2.4 \\ 0.3x = 7.8 \\ x = 7.8 \div 0.3 \\ = 26[/tex]

Substitute x into equation 1,

[tex]x = y + 12 \\ y + 12 = x \\ y = x - 12 \\ = 26 - 12 \\ = 14[/tex]

Therefore total number of coins = x + y = 26 + 14 = 40

Answer:

in total he has 62 cents

Step-by-step explanation:

I hope it's the correct answer if I'm wrong tell me right away.

Answer:

Barbers= 5.41= 6 barbers

Step-by-step explanation:

Giving the following formula:

Haircuts per hour= 12

Number of hours= 10

Haircuts needed= 650

First, we need to calculate the number of haircuts each barber can make per day:

Haircuts per barber a day= 12*10= 120 haircuts

Now, the number of barbers needed:

Barbers= total haircuts / haircuts per day

Barbers= 650/120

Barbers= 5.41= 6 barbers

Answer:

(5x − 2)(2x − 3).

Step-by-step explanation:

Answer:

$638.25

Step-by-step explanation:

I multiplied 17.25 times 37. The product was $638.25.

I was a bit confused when it said,"His overtime rate is 1 times his regular hourly rate." Since it is 1 times his hourly rate, it shouldn't affect the answer.

Answer:

C

Step-by-step explanation:

1. The third term has an exponent of 1.

2. A constant is the number with no variable.

I hope this helps ^-^

Answer:

the answer would be 40

Step-by-step explanation:

supplementary angles are 180

180-140=40

x=40

Answer:

2nd option

Step-by-step explanation:

Answer:

the first on and the 4th one

Step-by-step explanation:

Answer:

At 5% level of significance the conclusion of the test is that the number of intervals used to test the hypothesis is : 5

Step-by-step explanation:

At 5% level of significance the conclusion of the test is that the number of intervals used to test the hypothesis is : 5

since each interval contains equal number of values lets divide the data into 6 groups i.e.  frequency in the third group = 30 /6 = 5

hence we can say that the number of intervals used to test the hypothesis is 5

Answer:

D. 6

Step-by-step explanation:

90 - 30 = 60

so :-

10X = 60

then, X= 60÷10

X = 6.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{10x^\circ = 90 - 30^\circ}[/tex]

[tex]\mathsf{10x^\circ = 60}[/tex]

[tex]\large\textbf{DIVIDE 10 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{10x}{10} = \dfrac{60}{10}}[/tex]

[tex]\large\textbf{SIMPLIFY it}[/tex]

[tex]\mathsf{x = \dfrac{60}{10}}[/tex]

[tex]\mathsf{x = \dfrac{60\div10}{10\div10}}[/tex]

[tex]\mathsf{x = \dfrac{6}{1}}[/tex]

[tex]\mathsf{x = 6}[/tex]

[tex]\huge\text{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\mathsf{x = 6}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

9514 1404 393

Answer:

  (3/2π -(9/4)√3) m² ≈ 0.8 m²

Step-by-step explanation:

The area of the segment is the difference between the area of the sector and the area of the triangle.

  sector area = 1/2r²α . . . . where r is the radius and α is the central angle in radians

  triangle area = 1/2r²·sin(α) . . . . same variable definitions

Then the area of the segment is ...

  segment area = sector area - triangle area

  segment area = (1/2)r²(α -sin(α))

The central angle subtended by the segment is 360° -300° = 60° = π/3 radians

Then the segment area is ...

  A = (1/2)(3 m)²(π/3 -√3/2) = (3/2π -(9/4)√3) m² ≈ 0.8 m²

Answer:

Range = 23

IQR= 14.5

Step-by-step explanation:

Range is the biggest number- smallest number

so 30-7=23

IQR - Interquartile range = upper quartile - lower quartile

24-9.5=14.5

Answer:

0%

Step-by-step explanation:

there is only one card with a 6; if you select the 6 card and do not replace it there is zero possibility of selecting another 6 card

Answer:

c

Step-by-step explanation:

1 hour in heavy traffic = 40 miles

3 hours in light traffic = 50*3 = 150 miles

150+40 = 190 miles travelled

Answer:

Simple=$14.80 Compound=$16.14

Step-by-step explanation:

Simple=A=P(1+rt)

10.00(1+0.08×6)

Compound-A=P(1+r/n)^nt

10.00(1+0.08/6)^12*6

Answer:

9 OR 1

Step-by-step explanation:

Let the number be x

x² - 10x = -9

x² - 10x + 9=0

a=1

b=-10

c=9

Solve using the quadratic formula

x =9 or 1

Answer:

5

Step-by-step explanation:

Answer:

i think its D.9

Step-by-step explanation:

cause 8 - 17 is 9

Answer:

4 inches

Step-by-step explanation:

h=V/lw

=

160/8x5=4in

Answer:

4 inc

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

It’s the 4th one

Step-by-step explanation:

9.5 ft

Step-by-step explanation:

trust in me pls I am serious this is the right answer

Answer:

100 grams

Step-by-step explanation:

Because I listened to someone on this question with the answer being 200 grams but it was wrong and the correct answer is 100 grams.

9514 1404 393

Answer:

  -12 < x < 12

Step-by-step explanation:

It helps to think about what this looks like on a graph.

y = x² describes a parabola that has its vertex at the origin and opens upward. You know that 12² = 144, so the value of x² will exceed 144 when the value of x is more than 12. You also know the parabola is symmetric about the y-axis, so the same will be true for values of x less than -12.

The one solution to the inequality is ...

  -12 < x < 12

__

You can also go at this slightly differently--a way you might want to use for more complicated quadratic inequalities. Put the inequality in standard form, and factor it.

  x² -144 < 0

  (x +12)(x -12) < 0

Note that these factors are zero for x = -12 and for x = 12. The solution is the set of values of x where the sign of the product is negative.

The sign of the product of two numbers will be negative when one of them is negative and the other is positive. Since the zeros of this product are -12 and +12, the sign of the product will be different in the intervals (-∞, -12), (-12, 12), and (12, ∞). In the left-most of these intervals, both factors are negative, so the product is positive and the interval is not part of the solution set.

For the middle of these intervals, (-12, 12), the sign of (x+12) is positive and the sign of (x-12) is negative. The product will have a negative sign, so this interval is part of the solution set.

For the rightmost interval (12, ∞), both factors have positive signs, so the product is positive and the interval is not in the solution set.

Based on the analysis of the signs of the factors, we realize the solution to the inequality is the interval (-12, 12), or -12 < x < 12.

_____

The wording of your question suggests you are given a list of numbers and asked to identify those that satisfy the inequality. We don't see that list, so we can only tell you the set of numbers the solutions must be in.

Note that -12 or +12 are not solutions to this.

Answer:

12.5 %

Step-by-step explanation:

change  = 32 − 28 = 4  pages

Answer:

hope it helps...

Step-by-step explanation:

9514 1404 393

Answer:

  151.8 mg

Step-by-step explanation:

Assuming the cholesterol content (c) is proportional to the serving size, we have ...

  c/8 = 74/3.9

  c = 8(74/3.9) ≈ 151.8 . . . . mg of cholesterol

Answer:

Angles 1 & 2 = supplementary

Angles 1 & 3 = supplementary

Angles 1 & 4 = congruent

Angles 1 & 5 = congruent

Angles 1 & 6 = supplementary

Angles 1 & 7 = supplementary

Angles 1 & 8 = congruent