A cylindrical jar of chocolate frosting has a diameter of 3 inches and a height of 3.5 inches.
What is its volume to the nearest cubic inch?

Answer:

S₁₃ = 455

Step-by-step explanation:

the sum to n terms of an arithmetic is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

We require to find both a₁ and d

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

given a₄ = 20 and a₁₃ = 65 , then

a₁ + 3d = 20 → (1)

a₁ + 12d = 65 → (2)

subtract (1) from (2) term by term to eliminate a₁

9d = 45 ( divide both sides by 9 )

d = 5

substitute d = 5 into (1) and solve for a₁

a₁ + 3(5) = 20

a₁ + 15 = 20 ( subtract 15 from both sides )

a₁ = 5

Then

S₁₃ = [tex]\frac{13}{2}[/tex] [ (2 × 5 ) + (12 × 5 ) }

     = 6.5 (10 + 60)

     = 6.5 × 70

     = 455

Answer: 1 28/100 or 1 7/25

Step-by-step explanation:

Answer:

Shaded square 1: 4

Shaded square 2: 6

Shades square 3: 2

*Sorry all I can get at the moment is the shaded squares I'm still a little new to this

Step-by-step explanation:

Answer: (7x + 1)(x + 7)

Step-by-step explanation:

[tex]$$Factor the following:$$7 x^{2}+50 x+7$$Factor the quadratic $7 x^{2}+50 x+7$. The coefficient of $x^{2}$ is 7 and the constant term is 7. The product of 7 and 7 is 49 . The factors of 49 which sum to 50 are 1 and 49. So:\\\\ $7 x^{2}+50 x+7\\=7 x^{2}+49 x+x+7\\=7(7 x+1)+x(7 x+1)$ \\\\Factor $7 x+1$ from $7(7 x+1)+x(7 x+1)$ :$$\\\\Answer:(7 x+1)(x+7)$$[/tex]

The sum of the arithmetic series with the parameters  t1 = -2, t3 = 7, and n = 15 is 442.5

The given parameters are:

t1 = -2

t3 = 7

n = 15

Start by calculating the common difference using:

Tn = t1 + (n- 1)d

So, we have:

7 = -2 + (3 - 1) * d

Evaluate

7 = -2 + 2d

Add 2 to both sides

2d = 9

Divide by 2

d = 4.5

The sum  is then calculated using:

[tex]S_n = \frac n2 * (2a + (n - 1) * d)[/tex]

So, we have:

[tex]S_{15} = \frac {15}2 * (2*-2 + (15 - 1) * 4.5)[/tex]

Evaluate

[tex]S_{15} = 442.5[/tex]

Hence, the sum of the arithmetic series is 442.5

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Answer:

1.66667

Step-by-step explanation:

9------1

15-----?

We divide 9 by 9 to get 1 so we divide 15 by 9 to get ?

15 / 9 = 1.66667

Answer:

5/3 hours ( answer in fraction )

1.66 hours ( answer in decimal )

Step-by-step explanation:

Given,

Distance ( d ) = 15 kilometer ( 15 km )

Velocity ( v ) = 9 kilometers per hour ( 9 km / h )

To find : Time ( t )

Formula : -

v = d / t

t = d / v

= 15 / 9

t = 5/3 hours

( or )

t = 1.66 hours ( approximately )

Note : -

1. If the sentence " rate of kilometers " is there, then it is velocity.

2. If the sentence " How long will it take " is there, then it is time.

Answer:

3.25 rounded to 3

Step-by-step explanation:

If she liked 1/4 of the colors, then we would divided by 13 by 4 to get 3.25.

She can't like 1/4 of a color though, so we would round to 3.

Answer:

A.  P(A l B) = x

Step-by-step explanation:

For independent events A and B,

P(B | A) = P(B)

P(A | B) = P(A)

P(A ∩ B) = P(A)P(B)

If P(A) = x   and   P(B) = y  then:

⇒ P(B | A) = y

⇒ P(A | B) = x

⇒ P(A ∩ B) = xy

Therefore, the correct solution from the options given is:

A.  P(A l B) = x

Answer: 10 points, please!

Step-by-step explanation:

1. for the medium you want to find the number thats in the middle. so you have to write out all the numbers in order. then you step by step go to the middle and theres your medium.

0, 2, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 7, 11

2, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 7

2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6,
2, 3, 3, 3, 3, 3, 3, 5, 5, 6,

3, 3, 3, 3, 3, 3, 5, 5,

3, 3, 3, 3, 3, 5,

3, 3, 3, 3,
3, 3,

The medium is 3.


2. for the mean you add all the numbers up and then divide based on how many numbers there are.

0 + 2 + 2 + 2 + 3 + 3 + 3 + 3 + 3 + 3 + 5 + 5 + 6 + 6 + 7 + 11 / 16

64/16

4

the average or mean is 4 which tells us that the average number of kids per houshold is 4. and none of the housholds have 4 children. we know this because of the data in the line plot.

the typical houshold size is either 3 or 4. the medium is 3 and the average or mean is 4.

10 points please

Answer:

3 and 7

Step-by-step explanation:

The LCM of 6 and 9 is 3

The GCF of 21 and 35 is 7

There are several ways you can prove triangles congruent

Just you have to look at these parts of triangles

The ways are

#2

Yes we can form

The rule is that sum of two sides must be greater than third side

check

The force vector F in terms of i and j, considering it's magnitude and angle, is represented by:

[tex]V = 11\sqrt{2}i + 11\sqrt{2}j[/tex]

Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:

[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]

In this problem, we have that the parameters are as follows:

[tex]M = 22, \theta = 45^\circ[/tex]

Hence:

[tex]V = 22\sin{45^\circ}i + 22\cos{45^\circ}j[/tex]

[tex]V = 22\frac{\sqrt{2}}{2}i + 22\frac{\sqrt{2}}{2}j[/tex]

[tex]V = 11\sqrt{2}i + 11\sqrt{2}j[/tex]

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Answer:

Sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

The frequency table according to the graph looks like

Total number of frequencies is

Sum of data, using the midpoint of frequency ranges

The mean is the average of data

Midpoints of frequency ranges

They are

Now

sum of frequencies

Mean:-

The values of r and w will be 50 and 140 degrees.

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

From the Exterior Angle of a Triangle Property;

38° + 103° = w

w = 140°

Let x be the exterior angle so that

x = r + 90°

Similarly,

By vertically opposite angle;

w = x

So, x = r + 90°

140 = r + 90°

r = 140 - 90

r = 50

Hence, the values of r and w will be 50 and 140 degrees.

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The total annual dividend which is received from owning 50 shares of stock A, when Company A Issues a $0.10 quarterly dividend to its shareholders, is $20.

Market value is the current price of a product, company, or something consorting to the stock of the market.

The total annual dividend received from owning 50 shares of stock A has to be found out when Company A Issues a $0.10 quarterly dividend to its shareholders.

For each quarter, the payment of dividend is,

[tex]0.10\times50\\5[/tex]

In a year,

[tex]5\times4\\20[/tex]

Thus, the total annual dividend which is received from owning 50 shares of stock A, when Company A Issues a $0.10 quarterly dividend to its shareholders is $20.

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Answer:

188 meters cubed

Step-by-step explanation:

Answer:

[tex](x-2)^2-30[/tex]

Step-by-step explanation:

use the form [tex]ax^2+bx+c[/tex] to find the values of a, b, and c.

[tex]a=1, b= -4, c = -26[/tex]

consider the vertex form of a parabola

[tex]a(x+d)^2+e[/tex]

substitute the values of a and b into the formula [tex]d=\frac{b}{2a}[/tex]

[tex]d=\frac{4}{2(1)}[/tex]

simplify the right side.

find the value of e using the formula [tex]e=c-\frac{b^2}{4a}[/tex]

[tex]e=30[/tex]

Answer:

224 cm²

Step-by-step explanation:

Look at the figure below.

All sides are in cm. All areas are in cm².

Triangle A:

A = bh/2 = 8 × 21 / 2 = 84

Rectangle B:

A = LW = 9 × 8 = 72

Rectangle C:

A = LW = 4 × 5 = 20

Triangle D:

A = bh/2 = 6 × 16 / 2 = 48

Total area = 84 + 72 + 20 + 48 = 224

Answer: 224 cm²

[tex]\pmb{AnSwEr\::}[/tex]

these ratios are not equivalent . Please consult "Explanation" for more details

[tex]\bold{ExPlAnAtIoN}\downarrow[/tex]

We can write the ratios 1 : 4 and 3 : 10 as fractions :

[tex]\text{$\displaystyle\frac{1}{4} $}[/tex]

and

[tex]\text{$\displaystyle\frac{3}{10} $}[/tex]

Put the fractions together :

[tex]\text{$\displaystyle\frac{1}{4} \:and\:\frac{3}{10}$}[/tex]

Both fractions are in their simplest form ; the numerator and denominator do not have any common factors , except 1 , and there's no point in dividing by 1.

[tex]\small\text{hope helpful ( : }[/tex]

The number rounded to the nearest ten will be 1640. The number is grater than the 5 on the scale.

If the digit in the units place is between 0  and 10 i.e., 5, then the unit digit is substituted by 0.

If the digit in the units place is between 5 and 9, that is, > or 5 but less than 10, the units place is replaced by '0,' and the tens place is incremented by 1.

The given number is;

x=1637.984

The number is 7.9 grater than 5. So that the number is rounded to the nearest whole number,i.e.1640

Hence,the number rounded to the nearest ten will be 1640.

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Answer:

x = -2

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

3x+7−7=1−7

3x=−6

Step 2: Divide both sides by 3.

3x/3 = −6/3

x = −2

The percentage of the pages in the user manual that do not have diagrams is 0.8%.

Percentage is a measure of frequency that is is used to determine the  fraction of an amount that is usually expressed as a number out of hundred.

Percentage without diagram = (4/500) x 100 = 0.8%

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The diameter length is 30.

We know that the general equation for a circle is(x−h)²+(y−k)²=r²,

where ( h, k ) is the center and r is the radius.

As we know form of a circle.

We will use this form to determine the diameter of the circle.

(x−h)²+(y−k)²=r²

Given equation is :

(x-7)²+(y-2)²=225

(x-7)²+(y-2)²=(15)²

On comparing the above equation with the with equation of circle, we have

r²=(15)²

r=15

So, the diameter will be the twice the radius.

diameter= 2r

diameter= 2*15

diameter= 30

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Since the figure is a trapezoid, we must use the trapezoid area formula, [tex]A = (b_1 + b_2) / 2 * h[/tex]. By doing so, we can plug in the shown numbers on the image. After that, we multiply.

[tex]A = (8 + 14) / 2 * 5[/tex]

[tex]A = 22/2 * 5[/tex]

[tex]A = 11 *5[/tex]

[tex]A = 55^2[/tex]

The area of the trapezoid is 55 squared yards.

Answer:

29.7339181287

The short answer:29.73

The best prediction for the number votes Pierre should expect to receive is 40 votes

From the question, we are determine the best prediction for the number of votes Pierre should expect to receive

From the given information,

He takes a poll of 34 random students and finds that 5 said they would vote for him

Then, we can assume that,

Out of every 34 random students, 5 would vote for him

The total number of students that will vote = 272

There are eight 34s in 272

NOTE: 272 ÷ 34 = 8

Then, he should expect 8 × 5 votes

8 × 5 votes = 40 votes

Hence, the best prediction for the number votes Pierre should expect to receive is 40 votes

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Answer:

answer is 45 trust me im passing this concept

Step-by-step explanation:

Answer:

x= -2/9

Step-by-step explanation:

step 1: isolate the variable

27x+4 = 9x

-9x. -9x

18x+4 = 0

-4. -4

18x = -4

step 2: isolate the variable by dividing both sides by the coefficient

18x = -4

÷18. ÷18

=

x = -2/9

(x is equal to negative 2 ninths)