Please help!

For each problem approximate the area under the curve under the given interval using five trapezoids.

Answer:

y = x + 5

Step-by-step explanation:

Answer:

D.A straight line can be drawn through all the points and the line passes through the point where x=0 and y=0

Step-by-step explanation:

Brainliest?

it seems right

Answer:

I'm so confused, what are you trying to say? lol

Step-by-step explanation:

x + 3y = 21

- 4x + y = 0

y = 4x

x + 3y = 21

x + 3(4x) = 21

x + 12x = 21

13x = 21

x = 21/13

y = 4x

y = 4 (21/13)

y = 84/13

(x, y) = (21/13 , 84/13)

Considering the graph the domain and range are

The domain refers to the possible values of the input variables which is in the x coordinate

Looking at the graph image attached, the values starts from -3 to 1 this is written as

The range refers to the values of the output functions. From the graph the range is 4 to 5

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After 37 bounces, the ball's height will be less than 1 foot.

The initial height of the ball is 50 feet.

After first bounce, the ball will reach a height of:

= 50 feet * (1 - 10%)

= 45 feet.

After second bounce, it will reach a height of:

= 45 feet * (1 - 10%)

= 40.5 feet.

Height decreases by 10% after each bounce.

We have to set up an equation:

50 feet * (0.9)^n < 1 foot

Simplifying:

0.9^n < 1/50

Taking the logarithm:

n * log(0.9) < log(1/50)

n > log(1/50) / log(0.9)

n > 37.1298771746

n > 37.13.

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Answer:

10

Step-by-step explanation:

a^2+b^2=c^2

9^2+3^2=c^2

81+9=c^2

100=c^2

c=10

Submarine 1 : at 4,863 feet and is ascending 81.1 feet per minute

Submarine 2: at 3,645 feet and is ascending 76.9 feet per minute

so, step 1:

The third statement is the true

Step 2:

For the same depth

-4,863 + 81.1 m = -3,645 + 76.9 m

solve to find m

so,

81.1 m - 76.9 m = 4863 - 3645

4.2 m = 1,218

m = 1,218/4.2 = 290 minutes

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

Answer:

Step-by-step explanation:

Start (*C) Change(*C) Final Temperature (*C)

a -20 30 degrees warmer 10

b -20 35 degrees warmer 15

c -20 15 degrees warmer -5

d -20 15 degrees colder -35

Number line diagrams:

a. Starting from -20C, a 30 degrees warmer temperature change takes the final temperature to 10C.

-40 -30 -20 -10 0 10

-------->

b. Starting from -20C, a 35 degrees warmer temperature change takes the final temperature to 15C.

-40 -30 -20 -10 0 10 20

----------->

c. Starting from -20C, a 15 degrees warmer temperature change takes the final temperature to -5C.

-40 -30 -20 -10 0 10

------->

d. Starting from -20C, a 15 degrees colder temperature change takes the final temperature to -35C.

-40 -30 -20 -10 0 10 20 30 40

<----------

Answer:

(a)20π

(b)74π

Step-by-step explanation:

(a) 2π(5) + (2π(10) × 1/2) = 2π(5) + 2π(5)

= 2π(10)

= 20π

(b) π(5)^2 + (π(10)^2 × 1/2) = 25π + 50π

=75π

Answer: P=20 cm    S=75 cm²

Step-by-step explanation:

We have 2 semicircles with diameter d=10 cm and 1 semicircle with diameter D=20 cm

\(\displaystyle\\The\ length \ of \ the\ circle\ is\ \pi D\\The\ length\ of \ the\ semicircle \ is\ \frac{\pi D}{2}\)

\(\displaystyle\\a)\\P=2*\frac{\pi d }{2} +\frac{\pi D}{2} \\\\P=\pi d+\frac{\pi D}{2} \\\\P=\pi *(d+\frac{D}{2} )\\P=\pi *(10+\frac{20}{3} )\\\\P=\pi *(10+10)\\\\P=20\pi \ cm\\\\\)

\(b)\\\displaystyle\\The\ area \ of \ the\ circle\ is\ \frac{\pi D^2}{4} \\The\ area\ of \ the\ semicircle \ is\ \frac{\pi D^2}{8}\\\\S=2*\frac{\pi d^2}{8} +\frac{\pi D^2}{8} \\\\S=\frac{2*\pi *10^2}8} +\frac{\pi *20^2}{8} \\\\S=\frac{2*\pi*100 }{8} +\frac{\pi *400}{8} \\\\S=\frac{200\pi }{8}+\frac{400\pi }{8} \\\\S=\frac{600\pi }{8} \\\\S=75\pi \ cm^2\)

Solution

To write r > -10/3 on a number line,

Step 1: Draw a number line and include -10/3 on it

Step 2: Draw an arrow to the right with the small circle at its initial

The 95% confidence interval for the mean weight per apple is calculated and the p value foe that particular interval is 0.1447

There is not sufficient evidence to reject the company's claim.

Z Test of Hypothesis for the Mean

Data

Null Hypothesis m =120

Level of Significance 0.05

Population Standard Deviation 12

Sample Size 49

Sample Mean 122.5

Intermediate Calculations

Standard Error of the Mean 1.7143

Z Test Statistic 1.4583

Two-Tail Test  

Lower Critical Value -1.9600

Upper Critical Value 1.9600

p-Value 0.1447

Do not reject the null hypothesis

Hence, the p value foe that particular interval is 0.1447

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Given Data:

The diameter of the container is 3 inches.

The height of the container is 9 inches.

The area of base can be determined as,

Thus, option (i) is incorrect.

The volume can be determined as,

Thus, option (ii) is correct.

The volume of the container the the nearest tenth can be determine as,

Thus, option (iii) is correct.

Thus, only option (ii) and (iii) are correct.

The conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).

Recall:

The slopes given shows are:

-1/2, 3/2, -1/2, and 3/2

This implies that the quadrilateral has two pairs of equal sides that are parallel to each other.

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Answer:

its b:0.0333! (srry if its wrong)

Step-by-step explanation:

Answer:

Rational numbers can be expressed in the form of fraction whereas irrational numbers cannot be expressed in fraction form

Answer: Rational numbers are those numbers that are integers and can be expressed in the form of x/y where both numerator and denominator are integers whereas irrational numbers are those numbers which cannot be expressed in a fraction. The decimal expansion of irrational numbers is neither finite nor recurring. hope this helps

Answer: 4

The ratio in which the chocolates are divided into types can be seen as splitting the chocolates into 1+2+2 = 5 equal parts. Since there are 20 chocolates, each part corresponds to 20/5 = 4 chocolates. Thus, there are 1*4=4 chocolates with nuts, 2*4=8 plain chocolates, and 2*4=8 chocolates with caramel. Now, the three boys are dividing the chocolates into 3+1+1 = 5 equal parts. Thus, each part again corresponds to 4 chocolates. So, Andy will receive 3*4=12 chocolates, Bert will receive 1*4=4 chocolates, and Charles will receive 1*4=4 chocolates. Because neither Andy nor Charles can eat nuts, and there are four chocolates with nuts, and Bert receives four chocolates, Bert must take all of the chocolates with nuts. Charles receives four chocolates total, and, since he prefers caramel, he will take four of the eight caramels. This leaves eight plain chocolates and four caramels to make up Andy's twelve chocolates. Thus, Andy receives 4 pieces of chocolate with caramel.

Answer:

a(5)=25

a2+a6=44

a(4)+2a(6)=93

sqrta(5)=5

Step-by-step explanation:

You are given all the terms needed but sometimes you will have to create a formula.

a(b)=6b-5 is the formula in this sequence, now you can just plug in everything.

a(5)=6(5)-5

=25

a2=7

a6=37

7+37=44

a(4)=19, a(6)=37

19+2(37)=93

a(5)=25

sqrt25=5

Answer:

9:4

Step-by-step explanation:

I believe you meant:

   7 1/2 in

 -------------

    3 1/3 in

Rewriting both mixed numbers as improper fractions, we get:

 15

------

   2

==========

    10

  -------

      3

Remember:  to divide by a fraction (such as 10/3 here), invert the divisor fraction and multiply instead:

 15         3      (3)(3)

------- * ------ = --------- = 9/4 or 9:4  (this is a ratio expressed in lowest terms)

   2       10       (2)(2)

Answer:

\(f(x) = 3x - 4 \\ g(x) = - 2x + 7 \\ g(f(x)) = - 2(3x - 4) + 7 \\ g(f(x)) = - 6x + 8 + 7 \\ g(f(x)) = -6 x + 15 \\ g(f( - 2)) = - 6( - 2) + 15 \\ g(f( - 2)) = 12 + 15 \\ \boxed{g(f( - 2)) = 27}\)

Answer:

$243.17

Step-by-step explanation:

X+(X*5.25/100)=255.94

Make x the subject

X=243.17

To evaluate the integral Σ(n=0) (n+1)x^n 5^n dx, we can first rewrite the series as a power series. Then, we integrate each term of the power series individually. The resulting integral will be the sum of the integrals of each term.

The given series can be written as Σ(n=0) (n+1)x^n 5^n. This can be expanded as (1+1)x^0 5^0 + (2+1)x^1 5^1 + (3+1)x^2 5^2 + ...

To integrate each term, we can treat x and 5 as constants. Integrating x^n with respect to x gives us (1/(n+1))x^(n+1). Multiplying by the constant (n+1) and 5^n gives us (n+1)x^(n+1) 5^n.

Therefore, integrating each term of the series individually gives us (1/(0+1))x^(0+1) 5^0 + (2/(1+1))x^(1+1) 5^1 + (3/(2+1))x^(2+1) 5^2 + ...

Simplifying each term, we have x^1 + 2x^2 5 + (3/2)x^3 5^2 + ...

The integral of the series is then x^2/2 + (2/3)x^3 5 + (3/8)x^4 5^2 + ... + C, where C is the constant of integration.

Therefore, the evaluated integral of the given series is x^2/2 + (2/3)x^3 5 + (3/8)x^4 5^2 + ... + C.

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The area is 28 square feet.

The formula to find the area of a trapezoid is (base1 + base2) * height / 2. In this case, the base lengths are 6 feet and 8 feet, and the height is 4 feet. So, we can substitute these values into the formula.

Using the formula, we get:
Area = (6 + 8) * 4 / 2
      = 14 * 4 / 2
      = 56 / 2
      = 28 square feet

Therefore, the area of the trapezoidal tabletop is 28 square feet.

A trapezoid is a quadrilateral with one pair of parallel sides. The bases of a trapezoid are the parallel sides, and the height is the perpendicular distance between the bases. To find the area of a trapezoid, we multiply the sum of the bases by the height, and then divide by 2.

In this case, the sum of the bases is 6 + 8 = 14. Multiplying 14 by the height of 4 gives us 56. Dividing 56 by 2 gives us the final answer of 28 square feet.

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Answer:

Step-by-step explanation:

62.17

Using the arrangements formula, it is found that there are 720 words that can be formed.

The number of possible arrangements of n elements is the factorial of n, that is:

\(A_n = n!\)

In this problem:

\(T = 6 \times 5! = 6! = 720\)

There are 720 words that can be formed.

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The sum of angles inside the sine function is simplified to obtain sin(13x) + sin(3x).

The product 2 sin(8x) cos(5x) can be rewritten as the sum of two trigonometric functions.

Using the identity for the product of sine and cosine, we have:

2 sin(8x) cos(5x) = sin(8x + 5x) + sin(8x - 5x)

Simplifying the angles inside the sine function, we get:

= sin(13x) + sin(3x)

Therefore, the product 2 sin(8x) cos(5x) can be expressed as the sum of sin(13x) and sin(3x).

The answer is provided by rewriting the given product as the sum of two trigonometric functions: sin(13x) + sin(3x). This is done by using the identity for the product of sine and cosine.

This demonstrates the process of converting the product into a sum or difference of trigonometric functions.

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Answer: 45 / 40 ft

Step-by-step explanation:

Given that She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?

Actual width of shorter side = 45 ft

New width of shorter side = 40 ft

Scale factor is the ratio of the actual length to the new or intended length

Scale factor = Actual width / New width

Hence, scale factor :

45 ft / 40 ft