Help me pleaseee! What is the volume of this composite figure?

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The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."

According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.

The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:

Sum = (n/2)(first term + last term)

In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:

Sum = (7/2)(x + (x + 6))

Simplifying the equation:

(7/2)(2x + 6) = (21/4)(x + 6)

Multiplying both sides by 4 to eliminate the fractions:

14x + 42 = 21x + 126

Subtracting 14x from both sides:

42 = 7x + 126

Subtracting 126 from both sides:

-84 = 7x

Dividing both sides by 7:

-12 = x.

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Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

10x=40

x=40/10

x=4

4 is the answers, not -4

Step-by-step explanation:

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Answer:

it is positive 3/4

Step-by-step explanation:

it is the opposite of -3/4

Answer:

it would be a positive 3/4

Answer:

Step-by-step explanation:

the mass is 2000 mg, or 2 g.

the density is 8 g/cm^3

divide 2 by 8

0.25 cm^3

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la surface de l'écharpe est de 1 1 56 cm² car la formule pour calculer l'air d'un carré est A= coté * coté soit coté²

donc :  Aécharpe=34²=1156

Answer:

  F ∪ H = {c, d, e, f, g, h}

  F ∩ H = { }

Step-by-step explanation:

The union is the list of elements that are in either of the two sets.

  F ∪ H = {c, d, e, f, g, h}

The intersection is the list of only those elements that appear in both sets. (There are none.)

  F ∩ H = { } . . . . the empty set

Answer:

2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: 3

Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.

Answer: its 2

Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2

Answer:

X/4=3/6

Start off by cross multiplying the tops and bottoms, so X/4=3/6 turns into 6X=12. Now divide by 6 on both sides.

6X=12      X=2

Answer:

2

Step-by-step explanation:

Cross Multiple and Divide

X. 3

----. = ----

4. 6

So what you want to do is multiply diagonally:

(6)(X) = 6X

(3)(4) = 12

Now that we have our two answers, we put an equal sign between them.

6X = 12

Now to get X alone. Since it's being multiplied by 6, you want to do the opposite and divide.

So remember to divide on both sides to get rid of the 6.

6X divided by 6 is just X.

12 divided by 6 is 2

We got our answers, put the equal sign in-between

X = 2

Answer:

(a): x = 125 yards.

(c): x = 170 yards.

Step-by-step explanation:

Given

\(f(x) = x(200 - x)\)

\(x = length\\\\\)

\(f(x) = area\)

Required

Determine the possible length

For a length to be possible or usable, the calculated area must be greater than 0.

(a): x = 125 yards.

\(f(x) = x(200 - x)\)

Substitute 125 for x

\(f(125) = 125 * (200 - 125)\)

\(f(125) = 125 * 75\)

\(f(125) = 9375\)

(b): x = 200 yards.

\(f(x) = x(200 - x)\)

Substitute 200 for x

\(f(200) = 200 * (200 - 200)\)

\(f(200) = 200 * 0\)

\(f(200) = 0\)

(c): x = 170 yards.

\(f(x) = x(200 - x)\)

Substitute 170 for x

\(f(170) = 200 * (200 - 170)\)

\(f(170) = 200 * 30\)

\(f(170) = 6000\)

(d): x = 225 yards.

\(f(x) = x(200 - x)\)

Substitute 225 for x

\(f(225) = 200 * (200 - 225)\)

\(f(225) = 200 * (- 25)\)

\(f(225) = -5000\)

(e): x = 210 yards.

\(f(x) = x(200 - x)\)

Substitute 210 for x

\(f(220) = 200 * (200 - 210)\)

\(f(220) = 200 * (- 10)\)

\(f(220) = -2000\)

From the above calculations, only values of x that are 125 and 170 makes the function true

The table can be summarized as follows:

|          | Has a dog | Does not have a dog |

|----------|-----------|---------------------|

| Has a cat     | 2         | 3                   |

| Does not have a cat | 12        | 10                  |

To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.

The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.

The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.

So, the probability that a student chosen randomly from the class has a cat is 5/27.

Answer:

\(a \cdot b = 1\)

Step-by-step explanation:

\( a = 5i + 7j \)

\( b = -4i + 3j \)

\( a = a_xi + a_yj \)

\(b = b_xi + b_yj\)

\( a \cdot b = a_xb_x + a_yb_y \)

\( a \cdot b = (5)(-4) + (7)(3) \)

\( a \cdot b = -20 + 21 \)

\(a \cdot b = 1\)

Answer:

\(\boxed{-20i^2 -13ij+21j^2}\)

Step-by-step explanation:

\(\sf Plug \ in \ the \ values.\)

\((5i+7j) \cdot (-4i+3j)\)

\(\sf Expand \ brackets.\)

\(5i(-4i+3j)+7j(-4i+3j)\)

\(-20i^2 +15ij+-28ij +21j^2\)

\(\sf Combine \ like \ terms.\)

\(-20i^2 -13ij+21j^2\)

Answer:

\(\boxed{\sf{y=\dfrac{5}{4}x-10 }}\)

Step-by-step explanation:

To find the equation of line, you have to use a slope and slope-intercept formula.

Slope formula:

\(\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }\)

Slope-intercept formula:

\(\Longrightarrow:\sf{y=mx+b}\)

Rewrite the problem down.

y=5/4x-10

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

it would be on y-4.

and there is no x coordinate because it's 0

Answer:

Step-by-step explanation:

\(F=Ir^t,\text{ where F=final amount, I=initial amount, r=rate of change, t=time}\\ \\ F=58350(1.02)^4\\ \\ F=\$ 63159.92\)

\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

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Answer:

#1  (0,-4)

#2  (5,0)

#3  (3,1)

Step-by-step explanation:

#1.  (-3, 2) (0, y)  slope = -2

slope = rise/run    therefore slope = -2/1  or down 2 and over 1

so from -3 to 0 you are going over 3 units (or 3 times)  Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6      so 2-6 = -4

so y intercept (b)  = -4 0r (0,-4)

#2   (-7,-4)  (x,0)  slope (m) = 1/3   -7+12=5    x=5

#3   (4,-3)   (x, 1)   slope (m) = -4   (4/-1)   Moving one unit in slope  means

-3=4=1 for Y and 4-1=3 for X    therefore the point is (3, 1)

Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=\(\frac{9}{3}\)

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

Answer:

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

Step-by-step explanation:

Step(i):-

Given that mean of the sample = 16

Given that the standard deviation of the sample = 3.81

The standard deviation of the Population = 3.81

Level of significance = 0.05

Step(ii):-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

\((x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )\)

(\((16 - 1.96 (\frac{3.81)}{\sqrt{5} } , 16 +1.96 (\frac{3.81)}{\sqrt{5} })\)

( 16 - 3.3396 , 16 + 3.3396)

(12.6604 ,19.3396)

Final answer:-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

The t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the degrees of freedom.

How are the degrees of freedom determined?

Hence, the t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the degrees of freedom.

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Answer:

1,2,4 is the correct answer

hope it'll help you out

Answer:

50 in²

Step-by-step explanation:

The area of the rectangle = 8 × 4 = 32 in²

area of Δ NPO = \(\frac{1}{2}\) × PO × PN = \(\frac{1}{2}\) × 3 × 4 = 6 in² ( PN = RM )

area of Δ PQR = \(\frac{1}{2}\) × RP × 3 = \(\frac{1}{2}\) × 8 × 3 = 12 in² ( RP = MN )

area of MNOPQR = 32 + 6 + 12 = 50 in²

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the questions is in my page

Let's define the next variable

x: the amount of money each student has to raise

If 1 student raises x dollars, then 15 students will raise 15x dollars.

They want to raise $284.20 and they have already raised $58.75, therefore they need:

$284.20 - $58.75 = $225.45

Combining this information, we get:

Each student has to raise $15.03

To find the experimental probability for each outcome, we divide the number of times the cup lands in that position by the total number of tosses:

What is a outcome?

An outcome refers to a possible result of an experiment or event that is used to calculate the probability of that result occurring.

What is meant by experimental probability?

Experimental probability is the probability of an event based on actual, repeated trials or experiments rather than theoretical or mathematical calculations.

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