What is StartFraction 7 Over 9 EndFraction divided by one-third

Answer:

The range in the average rate of change in temperature of the substance is from a low temperature of \(-22^{\circ}\) to a high of \(16^{\circ}\).

Step-by-step explanation:

In the sinusoidal function \(y=a\sin(b(x-c))+d\), \(|a|\) represents the amplitude and \(y=d\) represents the equation of the midline.

By definition sinusoidal functions ebb and flow with respect to this midline. Therefore, the minimums must occur at \(y=d-|a|\) and the maximums must occur at \(y=d+|a|\).

Thus, the minimum, or low, occurs at \(y=-3-|-19|=-3-19=\boxed{-22}\) and the maximum, or high, occurs at \(y=-3+|-19|=-3+19=\boxed{16}\).

Answer:

Following are the responses to the given points:

Step-by-step explanation:

Given:

\(\mu = 359 \ \ \ \ \ \sigma = 33\\\\\)

Using formula:

\(\to P(X = x) = P\left ( z < \frac{x-\mu }{\sigma } \right )\)

For point a:

\(\to x= 406\\\\P(X < 406 ) = P\left ( z < \frac{406-359 }{33 } \right )\\\\\)

                   \(= P\left ( z <1.4242\right )\\\\= 0.9222\)

For point b:

\(\to x= 461\\\\P(X > 461 ) = P\left ( z > \frac{461 -359 }{33 } \right )\\\\\)

                   \(= 1 - P\left ( z < 3.0909 \right )\\\\= 1 - 0.9990\\\\= 0.0001\)

For point c:

\(\to x= 406\ \ and \ \ 461\\\\P(406 <X < 461 ) = P(X < 461) - P (X < 406)\\\\\)

                              \(= 0.9990 - 0.9222\\\\= 0.0768\\\\\)

For point d:

\(P(X < 406) = 0.9222 = 92.22 \%\ that \ is \ greater \ than\ 50\%\)

Hence, the correct choice is "i".

For point e:

\(\to P(X > z) = 0.1\\\\\to 1 - P(X < z) = 0.1\\\\\to P(\frac{x-\mu }{\sigma }) = 0.9\\\\\to \frac{x-359}{33 } = 1.28\\\\ \to x = 401.24\\\\\)

The area of triangle YCX is given as follows:

G. 2 units squared.

The area of square WXYZ is 16, hence the side length is given as follows:

s² = 16

s = 4.

Considering the midpoints, we have that the sides of the right triangle are given as follows:

YC = CX = 4/2 = 2

Hence the area of the triangle is given as follows:

0.5 x 2 x 2 = 2 units squared.

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The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

As we know, the standard form of circle is written in this way ~

\( \qquad \sf x{}^{2} + y {}^{2} + 2gx + 2fy + c = 0\)

where, the coordinates of centre is (-g , -f) and radius equals to :

\(\qquad \sf  \dashrightarrow \: \sqrt{g {}^{2} + {f}^{2} - c } \)

Now, it's time to equate the coordinates of centre ~

Here we get,

\(\qquad \sf  \dashrightarrow \: - g = 0\)

\(\qquad \sf  \dashrightarrow \: g = 0\)

and

\(\qquad \sf  \dashrightarrow \: - f = 4\)

\(\qquad \sf  \dashrightarrow \: f = - 4\)

Now, let's find the the Radius using distance formula on the given points, one of them is centre and other is point lying on circle, so distance between them is the radius.

\(\qquad \sf  \dashrightarrow \: r = \sqrt{( 0 - ( - 2)) {}^{2} + (4 - ( - 4)) {}^{2} }\)

\(\qquad \sf  \dashrightarrow \: r = \sqrt{ (0 + 2) {}^{2} + (4 + 4) {}^{2} } \)

\(\qquad \sf  \dashrightarrow \: r = \sqrt{ (2) {}^{2} + (8) {}^{2} } \)

\(\qquad \sf  \dashrightarrow \: r = \sqrt{ 4+ 64 } \)

\(\qquad \sf  \dashrightarrow \: r = \sqrt{ 68 } \)

\(\qquad \sf  \dashrightarrow \: r = 2\sqrt{ 17 } \)

Now, use the the following equation to find c of the standard equation

\(\qquad \sf  \dashrightarrow \: r = \sqrt{g {}^{2} + {f}^{2} - c} \)

\(\qquad \sf  \dashrightarrow \: 2 \sqrt{17} = \sqrt{ {0}^{2} + {4}^{2} - c}\)

squaring both sides :

\(\qquad \sf  \dashrightarrow \: 68 = {0}^{2} + {4}^{2} - c\)

\(\qquad \sf  \dashrightarrow \: 68 = 8 - c\)

\(\qquad \sf  \dashrightarrow \: - c = 68 - 8\)

\(\qquad \sf  \dashrightarrow \: c = - 60\)

Therefore, we got the standard equation of circle as ~

\(\qquad \sf  \dashrightarrow \: {x}^{2} + {y}^{2} + 2(0)x + 2( - 4)y + ( - 60) = 0\)

\(\qquad \sf  \dashrightarrow \: {x}^{2} + {y}^{2} - 8y - 60 = 0\)

I Hope it helps ~

Lee's TV costs $4.05 to operate for a month of 30 days.

To calculate the cost of operating Lee's TV for a month, we need to find out the total number of kilowatt-hours (kWh) of electricity consumed by the TV during that time.

First, let's find out how many watts Lee's TV consumes in a day:

250 watts/hour x 3 hours/day = 750 watts/day

To convert this to kilowatts, we divide by 1000:

750 watts/day ÷ 1000 = 0.75 kilowatts/day

Now, we can calculate the total number of kilowatt-hours consumed by the TV in a month:

0.75 kilowatts/day x 30 days = 22.5 kilowatt-hours

Finally, we can calculate the cost of operating the TV for a month:

22.5 kilowatt-hours x 18 cents/kilowatt-hour = $4.05

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Answer: B

Shape: Diamond (4 triangles)

Formula: A = 1/2bh

so...

A = 4(1/2bh) <------ Multiply by 4 because a diamond has 4 triangles)

A = 4(1/2(5)(10))

A = 4(5(5))

A = 4(25)

A = 100 in^2

Answer:

57

Step-by-step explanation:

this is the boybfiend

Applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.

Tangent ratio is part of the Trigonometry ratios, which is expressed as, tan ∅ = opposite side / adjacent side in a right triangle.

The information given would form a right triangle, where:

Applying the tangent ratio, we would have:

tan 30 = 14/x

x = 14/tan 30

x = 24.2 ft.

Therefore, applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.

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Answer:

great!

Step-by-step explanation:

how about you?

The amount invested at each rate is $30,000 at 4%, and $2000 at 6%.

Given that;

Larry Mitchell invested part of his $32,000 advance at 4% annual simple interest and the rest at 6% annual simple interest.

If his total yearly interest from both accounts was $1,340.

To find;

The amount invested at each rate.

Let x is the amount at 4%, therefore the amount at 6% is 32000 - x.

The total interest is:

0.04x + 0.06(32000 - x) = 1320

0.04x - 0.06x + 1920 = 1320

0.02x = 1920 - 1320

0.02x = 600

x = 600/0.02

x = 30,000

The amount at 6% is:

$32,000 - $30,000 = $2000

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Answer:

Step-by-step explanation:

The next number is 110

Answer:

mm

Step-by-step explanation:

Answer:

14.7

Step-by-step explanation:

tan(73)=48/x

or, x=48/tan(73)

or, x=14.7 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

They are all multiplied by 6

Answer:

Geometric sequence.

Step-by-step explanation:

Here are the terms :

-2/3, -4, -24, -144

Now the first term T1 = -2/3

The second Term T2 = -4

But T2/T1 = -4÷ -2/3 = -4 x -3/2 = 6

Similarly Term 3, T3 = -24

T3/T2 = -24/-4= 6

Hence the expression is a geometric sequence.

a×r^(n-1); a is the first term

r is the common ratio 6

n is the number of terms.

Answer:

mabe divided by 2

Step-by-step explanation:

Answer:

Surface area of the rectangular prism = 234 mm²

Step-by-step explanation:

Length of a right rectangular prism = 15 mm

Width of the rectangular prism = 3 mm

Height of the rectangular prism = 4 mm

Surface area of the rectangular prism = 2(lb + bh + hl)

Here, l = length of the prism

b = Width of the prism

h = Height of the prism

By substituting values in the given formula,

Surface area = 2(15×3 + 3×4 + 15×4)

                     = 2(45 + 12 + 60)

                     = 2(117)

                     = 234 mm²

Answer:

1/8

Step-by-step explanation:

Look at the screen shots

Answer:

5

Step-by-step explanation:

You divide your number by the denominator and then times it by the numerator

The closest option to the cone area is 923.2 m². 

A cone is a shape formed from a series of line segments or lines that connect a common point, called a vertex or vertex, to all points on the base of a circle that do not contain vertices. The distance from the apex of the cone to the base is called the height of the cone.

To solve this problem, we need to find the surface of the cone. Formula for the surface area of cone:

A = \(\pi\)r² + \(\pi\)rℓ

where r is the radius of the base, ℓ is the height of the depression, and π is a constant of approximately 3.14159.

First, we find the radius of the base. Since the bottom line of the cone is listed as 18 feet and we know the radius is 14 feet, we can use the Pythagorean theorem to find the height of the cone.

h² = ℓ² - r²

h² = 19.3² - 14²

h ≈ 11.48 feet

Now we can compute the surface.

A = \(\pi\)(14)² + \(\pi\)(14)(19.3)

A ≈ 923.2 square feet

So the closest option to the cone area is 923.2 m². 

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The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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The approximate difference in the circumferences of the two circles is: C. 61 cm.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 4.5

Circumference of circle, C = 14.13 cm.

For the larger circle, we have:

Circumference of circle, C = 3.14 × 24

Circumference of circle, C = 75.36 cm.

Difference = 75.36 cm - 14.13 cm.

Difference = 61.23 ≈ 61 cm.

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\(AC \cong BC \implies \angle A \cong \angle B \\ \\ \therefore m\angle A=m\angle B \implies 3x+18=7x-58 \\ \\ \implies 18=4x-58 \\ \\ 76=4x \\ \\ \boxed{x=19} \\ \\ m\angle A=3(19)+18 \implies \boxed{m\angle A=75^{\circ}} \\ \\ m\angle A=m\angle B \implies \boxed{m\angle B=75^{\circ}} \\ \\ m\angle C=180^{\circ}-m\angle A-m\angle B \implies \boxed{m\angle C=30^{\circ}}\)

Answer:

$6..99

Step-by-step explanation:

$6.99 each you do 44.45 - 9.50 than divide by 5

Answer: 0.091125

Step-by-step explanation:

Given : P(dog) = 0.45

If 3 households are selected randomly and with replacement and the ownership is mutually exclusive.

Then , probability that all three randomly selected households own a dog = \((0.45)^3=0.091125\)

Hence, required probability = 0.091125

The probability that all three randomly selected households own a dog  is

0.091125.

Given that,

Based on the above information, the calculation is as follows:

\(= 0.45^3\)

= 0.091125

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Answer:

C

Step-by-step explanation:

The slope of the line will be (2) and the equation will be C

Step-by-step explanation:

....djdjbeoehehoeebdnskeje

Answer:

d

Step-by-step explanation:

Answer:

18 stamps

Step-by-step explanation:

3/5(30) = 90/5 = 18

Answer:

Step-by-step explanation:

The chart tells you Zack has 30 stamps in total.

3/5 are animal stamps.

So you do

30 x 3/5 = 90 / 5 = 18

OR

30 / 5 x 3 = 6 x 3 = 18

Hope that helps!