Which sequence is geometric?
1, 5, 9, 13,
2. 6, 8, 10,
5, 7, 9, 11,
ОО
4. 3. 16. 32

Answer:

11

Step-by-step explanation:

Just multiply 4 times 2 3/4 and youll get 11

If one cup of soy milk contains 4g total fat then [tex]2\frac{3}{4}[/tex] cups of soy milk contains 11g of  total fat.

             [tex]2\frac{3}{4}[/tex] cups contains x grams of total fat.

         ⇒ x  =  4([tex]\frac{11}{4}[/tex])

         ⇒ x  = 11 grams

     Hence 11 grams of total fat is there in [tex]2\frac{3}{4}[/tex] cups of soy milk.

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Answer:

7/16, 7/32, 7/64

Step-by-step explanation:

7, 7 /2 , 7/ 4 , 7/ 8

We multiply by 1/2 each time

7/8 *1/2 = 7/16

7/16*1/2 = 7/32

7/32 *1/2 = 7/64

Answer:

4/9

Step-by-step explanation:

0.4444... can be written as a geometric series with first term 0.4 and common ratio 0.1.  Each new digit is 0.1 times the previous digit.

                               0.4

Then 0.4444... = ------------ = 0.4/0.9 = 4/9

                             1 - 0.1

You may check this result by dividing 4 by 9 on a calculator.

Answer:

6

Step-by-step explanation:

A) f(x+h)=6(x+h)-6

         =6x+6h-6

B)(6x+6h-6)-(6x-6)

   6x+6h-6-6x+6

    =>6h

C=6h/h

C=6

Answer:

The two iterations of f(x) = 1.5598

Step-by-step explanation:

If we apply  Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

Given;

f(xₙ) = cos x, then  f'(xₙ) = - sin x

cos x / - sin x = -cot x

substitute in "-cot x" into the equation

xₙ₊₁ = xₙ - (- cot x)

xₙ₊₁ = xₙ + cot x

x₁ = 0.7

first iteration

x₂ = 0.7 + cot (0.7)

x₂ =  0.7 + 1.18724

x₂ = 1.88724

second iteration

x₃ = 1.88724 + cot (1.88724)

x₃ = 1.88724 - 0.32744

x₃ = 1.5598

To four decimal places = 1.5598

Answer:

The answer is

Step-by-step explanation:

Since the triangle is a right angled triangle we can use trigonometric ratios to find y

To find y we use cosine

cos∅ = adjacent / hypotenuse

From the question

y is the adjacent

The hypotenuse is 15

So we have

[tex] \cos(35) = \frac{y}{15} \\ y = 15 \cos( 35 ) \\ y = 12.28728[/tex]

We have the final answer as

Hope this helps you

Answer:

What lined graph?

Step-by-step explanation:

Answer:

Please give a lined graph. However, if your question is like mine, I may be able to help.

Here, the answer is D. For the slope, remember: Rise over Run. The slope will be a fraction, so let the amount of points between points on the line (If that makes sense) be that fraction. The amount between points vertically is the Numerator (top) of your fraction, and the amount horizontally is the denominator (Bottom). If the Denominator is 1, your fraction is a whole number.

Answer:

8 feet

Step-by-step explanation:

The volume of a rectangular prism is [tex]lwh[/tex], where l is length, w is width, and h is height.

We already know the length, width, and volume, so we can easily find the height by substituting these values into the equation, then isolating h one one side.

[tex]96 = 4\cdot3\cdot h\\\\96 = 12h\\\\8 = h[/tex]

Hope this helped!

Answer:

274

Step-by-step explanation:

(52 + 4) * 5 - 2 + (-4)

56 * 5 - 2 + (-4)

56 * 5 - 2 - 4

280 - 2 - 4

278 - 4

274

Answer:

274

Step-by-step explanation:

(52+4)*5-2+(-4)

(56)*5-2+(-4)

280-2+(-4)

278+(-4)

274

Answer:

(4,7)

Step-by-step explanation:

f(x)=5x-13

Let this equal to 7

7=5x-13  

Add 13 to each side

7+13 = 5x-13+13

20 = 5x

Divide by 5

20/5 = 5x/5

4 =x

The ordered pair is

(4,7)

Answer:

x = 5

Step-by-step explanation:

0.5x + 3.5 = 6

0.5x = 6 - 3.5

0.5x = 2.5

x = 2.5 / 0.5

x = 5

Answer:

Irrational, non-terminating

Step-by-step explanation:

This number is irrational because it is a non-terminating decimal. Notice how it continues with the '...'. <3

Answer:

fortnite battle royal

Step-by-step explanation:

Answer:

fre7wgbxyifg crgrggStep-by-step explanation:

Answer:x=-4

Step-by-step explanation: combine like terms, add 4 and -7 which is -3 and add -4x and the -3x because they are like terms which is -7x so it should be -7x-3=25. then to get rid of the 3 add it to both sides so it would turn out like -7x=28 then divide the 7 on both sides= 28/ -7= -4

Answer: 3000 in^2

Explanation:

Integration

Integration Rule [Reverse Power Rule]:
[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Double Integrals

Polar Coordinates Conversions:

Integral Conversion [Polar Coordinates]:
[tex]\displaystyle \iint_T {f(x, y)} \, dA = \iint_R {f(r, \theta)r} \, dr \, d\theta[/tex]

The formatting of the question was thrown off, so I have defined it down below.

We are given an integral and asked to convert to polar coordinates as well as evaluate it:
[tex]\displaystyle \int \limits^{8}_{-8} \int \limits^{\sqrt{64 - x^2}}_{0} \sin(x^2 + y^2) \, dy \, dx[/tex]

It would be quite difficult to evaluate the given integral using conventional methods, so we apply polar conversion to evaluate the integral. Let's start out by converting the function and the bounds.

[Bounds] Cartesian to Polar:

[tex]\displaystyle \left \{ {{-8 \leq x \leq 8} \atop {0 \leq y \leq \sqrt{64 - x^2}}} \right \longrightarrow \left \{ {{0 \leq r \leq 8} \atop {0 \leq \theta \leq \pi}} \right[/tex]

[Function] Cartesian to Polar:

[tex]\displaystyle f(x ,\ y) = \sin(x^2 + y^2) \longrightarrow f(r ,\ \theta) = \sin r^2[/tex]

Now that we've converted to polar coordinates, we can convert the integral using our integral conversion listed under "Multivariable Calculus":

[tex]\displaystyle \int \limits^{8}_{-8} \int \limits^{\sqrt{64 - x^2}}_{0} \sin(x^2 + y^2) \, dy \, dx \longrightarrow \int \limits^{\pi}_{0} \int \limits^{8}_{0} r \sin r^2 \, dr \, d\theta[/tex]

We can now evaluate the polar integral using basic integration techniques listed under "Calculus":

[tex]\displaystyle \begin{aligned}\int \limits^{\pi}_{0} \int \limits^{8}_{0} r \sin r^2 \, dr \, d\theta & = \int \limits^{\pi}_{0} \underbrace{\int \limits^{8}_{0} r \sin r^2 \, dr \, }_{u = r^2 ,\ du = 2r \, dr} d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \int \limits^{8}_{0} 2r \sin r^2 \, dr \, d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \int \limits^{r = 8}_{r = 0} \sin u \, du \, d\theta \\\end{aligned}[/tex]

[tex]\displaystyle \begin{aligned}\int \limits^{\pi}_{0} \int \limits^{8}_{0} r \sin r^2 \, dr \, d\theta & = \frac{1}{2} \int \limits^{\pi}_{0} \bigg( - \cos u \bigg) \bigg| \limits^{r = 8}_{r = 0} \, d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \bigg( - \cos r^2 \bigg) \bigg| \limits^{r = 8}_{r = 0} \, d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \bigg( - \cos 64 + 1 \bigg) \, d\theta \\& = \frac{1}{2} \int \limits^{\pi}_{0} \bigg( 1 - \cos 64 \bigg) \, d\theta \\\end{aligned}[/tex]

[tex]\displaystyle \begin{aligned}\int \limits^{\pi}_{0} \int \limits^{8}_{0} r \sin r^2 \, dr \, d\theta & = \frac{1}{2} \bigg(1 - \cos 64 \bigg) \bigg( \theta \bigg) \bigg| \limits^{\pi}_{0} \\& = \boxed{ \frac{\pi}{2} \bigg( 1 - \cos 64 \bigg) }\end{aligned}[/tex]

∴ the integral equals:
[tex]\displaystyle \boxed{ \frac{\pi}{2} \bigg( 1 - \cos 64 \bigg) }[/tex]

[tex]\displaystyle \int \limits^{8}_{-8} \int \limits^{\sqrt{64 - x^2}}_{0} \sin(x^2 + y^2) \, dy \, dx = \boxed{ \frac{\pi}{2} \bigg( 1 - \cos 64 \bigg) }[/tex]

___

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Topic: Multivariable Calculus

Unit: Double Integrals

Step-by-step explanation:

To find the area of the wrapping paper required,

we must find the Total Surface Area of the box

As we know, the TSA of a cuboid= 2 (lh+bh+lb)

Here,

Total Surface Area of the cuboid=

[tex]2(4 \times 8 + 8 \times 15 + 15 \times 4)[/tex]

[tex] = 2(32 + 120 + 60)[/tex]

[tex] = 2(212)[/tex]

[tex] = 414 \: inches^2[/tex]

★ Solution :

[tex]:\implies\sf 3(4x - 7) = 27\:\:\:\:\Bigg\lgroup \bf{Given\: Equation}\Bigg\rgroup \\\\\\:\implies\sf 12x - 21 = 27\\\\\\:\implies\sf 12x = 27 + 21\\\\\\:\implies\sf 12x = 48\\\\\\:\implies\sf x = \dfrac{48}{12}\\\\\\:\implies\underline{\boxed{\sf x = 4}}[/tex]

Answer:

[tex]3(x - 7) = 27[/tex]

[tex]⟹3x - 21 = 27[/tex]

[tex]⟹3x = 27 + 21[/tex]

[tex]⟹3x = 48[/tex]

[tex]⟹x = \frac{48}{3} [/tex]

[tex]⟹x = 16[/tex]

We have,

Now,

∠AOB + ∠BOC = ∠A0C

⇒ x + 128° = 180°

⇒ x = 180° - 128°

⇒ x = 52°

1 Acre-feet to Million Cubic Feet = 0.0436

Answer:

77

Step-by-step explanation:

The mean of a set of numbers will be the sum of all of them divided by the amount of numbers.

[tex]68+75+72+90+80=385[/tex]

There are 5 numbers in this set:

[tex]385\div5=77[/tex]

Hope this helped!

Femi's mean score is C. 77

Femi's mean score is the sum of all his bowling scores, divided by the number of times he bowled.

Question said that he bowled 5 times so the mean is:

= (68 + 75 + 72 + 90 + 80) / 5

= 385 / 5

= 77

Femi's mean score is therefore 77

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Answer:

$3,636.70

Step-by-step explanation:

Given the following:

Initial price of Gold (A) = $2500

Rate of appreciation (r) = 5.5% = 0.055

Worth of gold in 7 years will be?

Period (p) = 7

Using the compound interest formula :

Let F = final amount

F = A( 1 + r/n)^nt

n = number of times Appreciation occurs per period.

Since rate compounds yearly, then, n = 1

F = $2500( 1 + 0.055/1)^(7*1)

F = $2500(1 + 0.055)^7

F = $2500(1.055)^7

F = $2500(1.454679161133794609375)

F = $3636.6979

Amount in 7 years = $3,636.70

Answer:

m<3 + m<4:= 180°

m<2 + m<4 + m<6 = 180°

m<2 + m<4 = m<5

Step-by-step explanation:

<3 and <4 are linear pairs. They are angles on a straight line. Angles in a straight line sum up to give 180°. Therefore, the statement "m<3 + m<4:= 180°" is TRUE.

<2, <4, <6 are interior angles of a triangle. The sum of the angles in a ∆ = 180°. Therefore, the statement, "m<2 + m<4 + m<6 = 180°" is TRUE.

<2 and <4 are opposite interior angles of the ∆, while <5 is an exterior angle to the ∆. Based on the external angle theorem of a ∆, the statement, "m<2 + m<4 = m<5" is TRUE.

<1 and <2 are a linear pair, and are angles on a straight line. Their sum cannot give us 90°.

m<4 + m<6 ≠ m<2. Rather, 180 - (m<4 + m<6) = m<2 (sum of angles in a ∆)

m<2 + m<6 ≠ m<5. Rather, m<2 + m<4 = m<5

The correct equations are:

m∠5 + m∠6 = 180°

m∠2 + m∠3 =  m∠6

m∠2 + m∠3 + m∠5 = 180°

m∠2 + m∠5 =  m∠4

Triangle is a polygon with three angles and three sides. The sum of angles in a triangle is 180 degree.

From the diagram:

m∠5 + m∠6 = 180° (angle in a straight line)

But:

m∠2 + m∠3 + m∠5 = 180

m∠2 + m∠3 + m∠5 = m∠5 + m∠6

m∠2 + m∠3 =  m∠6

Also:

m∠2 + m∠3 + m∠5 = 180° (sum of angles in a triangle)

But:

m∠3 + m∠4 = 180° (angle in a straight line)  

m∠2 + m∠3 + m∠5 = m∠3 + m∠4

m∠2 + m∠5 =  m∠4

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Answer:

c=5+1/2

Step-by-step explanation:

We move all terms to the left:

4c+5-(27)=0

We add all the numbers together, and all the variables

4c-22=0

We move all terms containing c to the left, all other terms to the right

4c=22

c=22/4

c=5+1/2

Answer:

84

Step-by-step explanation:

The least common denominator of the 7, 6, 12, which are the denominators of the fractions in the given linear equation, is the least expression or number that is divisible by 7, 6, 12.

To find the LCD, express each number as factors of itself as follows:

[tex] 7 = 1*7 [/tex]

[tex] 6 = 2*3 [/tex]

[tex] 12 = 2^2*3 [/tex]

Find the product of the highest terms

The product = LCD = [tex] 1*2^2*3*7 = 84 [/tex]

LCD of 7, 6, 12 = 84

Answer:

84

Step-by-step explanation:

Answer:

1. 49/150

2. 107/300

Step-by-step explanation:

Here is a probability question.

a. The first question asks us to find the probability of getting more than 4.

Now to do this, we look at our possible results when we roll the die, we can see that we can have 1-6.

But within this range, only two numbers are greater than 4, these are 5 and 6

Thus, to calculate the probability of getting either 5 or 6, we look at their frequencies, sum it up, then divide by the total number of times which the die was rolled.

The frequency of 5 is 47, while that of 6 is 51

The probability of getting more than 4 = Probability of getting 5 + Probability of getting 6 = (Frequency of 5 + Frequency of 6)/Total number of trials

= (47 + 51)/300 = 98/300 = 49/150

b. Probability of getting less than 3

Here, we proceed as we did in the first question. The numbers which are less than 3 are 1 and 2.

So the probability of getting less than 3 = Probability of getting 1 + Probability of getting 2 = (Frequency of 1 + Frequency of 2)/Total number of trials

Frequency of 1 = 62 while Frequency of 2 = 45

So, probability of getting less than 3 = (45 + 62)/300 = 107/300

Answer:

5

Step-by-step explanation:

Given that each zodiac sign occupies 1/12 of a year.

Then the minimum number of persons for Y[all different signs] < 0.5,

The probability of at least two having the same sign is 1 minus the probability of all having different signs.

This can be represented as A [at least 2 person share the same sign] = 1 - Y[all different signs] must be > 0.5

Therefore we have 1 - 12/12 *11/12 * 10/12 *9/12 *8/12 = 0.38

This implies that the lowest number will be found to be 5

Hence, the correct answer is 5.

Answer:

2 quarters,2dimes,6nickels