Make the following conversion.72 pt to quarts ? qtNote: I got 43.2342 and it was incorrect

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Measure of angle ABE is 47°.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the length of a rotation or an angle. This metric represents the relationship between a circular arc's length and radius.

Given

∠CBE = 43°

As we know, ∠ABC is a right angle

∠ABC = ∠ABE + ∠CBE

90 = ∠ABE +43

∠ABE = 90 - 43

∠ABE = 47

Measure of angle ABE is 47°.

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Answer:

for me apple is better its faster and how it is now its cool and yeah

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

Given that:

Low = 43bpm

High = 115 bpm

Error = 3

α = 90%

To find the range estimate :

Standard destviation = (high - low) / 4

Standard deviation = (115 - 43) / 4

Standard deviation = 72/4 = 18

The sample size,(n) :

n = [(Zα/2 * sd)/E] ²

2 - tail = (Zα/2) = 1.645

[(Zα/2 * sd)/E] ² = [(1.645 * 18) / 3]² = (29.61/3)²

= 97.41

Sample size = 97

Answer:

True is corect

Step-by-step explanation:

true = true

Answer:

x = 101°

Step-by-step explanation:

180-147 = 32

180-47-33 = 101

also this is not college math what

The triangle ABC is an isosceles right triangle because PQ = QR = √26 and PR = QR√2 = PQ√2

From the question, we have the following parameters that can be used in our computation:

P (-3, 3), Q (2,4), and R (3, -1)

As a general rule, we have

So, we start by calculating the lengths of the sides using the distance equation represented as follows

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Substitute the known values in the above equation, so, we have the following representation

PQ = √[(-3 - 2)² + (3 - 4)²]

PQ = √26

PR = √[(-3 - 3)² + (3 + 1)²]

PR = √52

QR = √[(2 - 3)² + (4 + 1)²]

QR = √26

Because PQ = QR = √26, then the triangle is an isosceles triangle

Also, because PR = QR√2 = PQ√2, the triangle is a right triangle

This means that an isosceles right triangle

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The perimeter of rectangle M'N'O'P' is equal to 54 cm.

In Geometry, a dilation is a type of transformation that typically changes the size (dimensions or side lengths) of a geometric shape, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (enlarged) or decreased (reduced) based on the scale factor applied.

Since the rectangles are similar, we have the following:

\(\frac{Area\;of\;preimage}{Area\;of\;image} =\frac{(Perimeter\;of\;preimage)^2}{(Perimeter\;of\;image)^2}\)

14/126 = 18²/(Perimeter of rectangle M'N'O'P')²

14/126 = 324/(Perimeter of rectangle M'N'O'P')²

(Perimeter of rectangle M'N'O'P')² = (126 × 324)/14

Perimeter of rectangle M'N'O'P' = √2916

Perimeter of rectangle M'N'O'P' = 54 cm.

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Answer:

A no solution

Step-by-step explanation:

y = 2x + 10

3y - 6x = 30

3(2x+10) -6x =30

6x +30 -6x =30

6x -6x = 30-30

0=0

Step-by-step explanation:

I answered that already.

The constant that will be used in Digby's linear inequality will be 8.

What are linear inequalities, exactly?

Inequality is a mathematical statement that states that neither side is equal. When a link causes a non-equal comparison between two expressions, an inequality develops. The inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠), replace the equal sign "=" in the sentence. In mathematics, inequalities are classified into three types: polynomial inequalities, rational inequalities, and absolute value inequalities.

The characters '<' and '>' denote severe inequalities, whereas " ≤ and ≥ " denote slack inequalities.

Now,

Given that The temperature during a winter day was less than 8 degrees Fahrenheit.

let x be the temperature in degree Fahrenheit

then the linear inequality to show the statement will be

x<8 where 8 is a constant

Hence,

          The constant that will be used in Digby's linear inequality will be 8.

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Answer:

The awnser is 8.

Step-by-step explanation:

i just know<33

The equivalent expression is -2x + 9

5x + 9 + (-7x) = _ x + 9

we expand the parenthesis:

Multiplication of opposite signs give negative number.

5x + 9 - 7x = _ x + 9

collect like terms"

5x and -7x are like terms

5x - 7x = -2x

5x - 7x + 9 = -2x + 9

The left hand side must be equal to the right hand side.

As a result, comparing Left and right side:

the missing number on the right hand side is -2

The equivalent expression is -2x + 9

Answer:

The number is 5.

Step-by-step explanation:

Let x be the number.

\(3x - 8 = x + 2\)

\(2x = 10\)

\(x = 5\)

1. The ordered pairs are as follows

(0, 0)

(1, 5)

(2, 10)

(3, 15)

(4, 20)

2. The rules in the pattern of the days count is

n + 1

3. the rule of the pattern of the cost column is

n + 5

4. The relationship between the terms is

y = 5x

5. It will cost $40 to rent a scooter for 8 days

6. The ordered pair is in 1. and the graph is attached

7. It will cost $32.5 to rent a scooter for 6 1/2 days

In mathematics, an ordered pair is a set of two elements arranged in a specific order. The order of the elements in the pair is important, meaning that swapping the elements changes the identity of the pair.

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Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

Answer:

180

Step-by-step explanation:

Answer:

each blue glove is 1.07

Step-by-step explanation:

10-4.65=5.35

5.35/5=1.07

Answer:1.07

Step-by-step explanation:10-4.65=5.35

5.35/5=1.07

The opposite number of 4.3 is -4.3.

The number on the other side of the 0 number line and at the same distance from 0 is the opposite of a number.

To find the opposite of 4.3:

Here, we have the number which is positive number.

And the opposite of the positive number is a negative number.

Let x be a positive number.

Then opposite is negative of x

That is -x.

So the opposite of 4.3 is -4.3.

Therefore, The opposite number is -4.3.

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Answer:

G(x) = (x-4)⁴

Step-by-step explanation:

The equation of the graph of f(x) which is formed by shifting 4 units to the right of g(x) is f(x) = (x - 4)⁴

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given a function G(x).

G(x) = x⁴

A function F(x) is formed by shifting the graph of G(x) to the right by 4 units.

A function h(x) when shifted to the right by k units becomes h(x - c).

So the graph of G(x) when shifted to the right by 4 units becomes G(x - 4).

G(x - 4) = (x - 4)⁴

So, F(x) = (x - 4)⁴

Hence the function is F(x) = (x - 4)⁴.

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Answer:

b. False.

Step-by-step explanation:

According to the presented information, at the 95% confidence level, the mean number of coats owned will be between 3.1 and 5.2. That does not mean that there is a 95% chance that they will own that many coats; just that you are 95% confident that they will own the coats.

Hope this helps!

Answer:

C

Step-by-step explanation:

( it think you meant to put 1350 because theres no way to get 1340)

A. The growth rate k is approximately 0.013, which means that the home value is increasing by about 1.3% per year

B.  The exponential model for the value of the home is V(t) = $95,000e^(0.013t).

C. The predicted value of the home in 2022 is approximately $123,539.

D. The value of the home reached $130,000 approximately 11.91 years after 2011, which is in 2023.

An exponential model is a mathematical model that describes exponential growth or decay. It is a function of the form \(y = ab^x\), where a and b are constants, and x is the variable that represents time or another independent variable.

(a) To find the growth rate k, we can use the initial and final values of the home and the time period in between:

V(0) = $95,000 (the initial value in 2011)

V(7) = $105,000 (the final value in 2018, 7 years later)

Using the exponential model V(t) = V0ekt, we can set up the following equation:

V(7)\(= V(0)e^(k7)\) = $105,000

$105,000/$95,000 = \(e^(k7)\)

ln($105,000/$95,000) = k7ln(e)

k = ln($105,000/$95,000)/7 ≈ 0.013

The growth rate k is approximately 0.013, which means that the home value is increasing by about 1.3% per year.

(b) The exponential model for the value of the home is V(t) = $95,000e^(0.013t).

(c) To predict the value of the home in 2022, we can use t = 11 (since 2022 is 11 years after 2011) in the exponential model:

V(11) = $95,000e^(0.013*11) ≈ $123,539

The predicted value of the home in 2022 is approximately $123,539.

(d) To find the year when the value of the home reached $130,000, we can set up the following equation:

$130,000 = $95,000e^(0.013t)

ln($130,000/$95,000) = 0.013t

t ≈ 11.91

The value of the home reached $130,000 approximately 11.91 years after 2011, which is in 2023.

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A. The growth rate k is approximately 0.013, which means that the home value is increasing by about 1.3% per year

B.  The exponential model for the value of the home is V(t) = \($95,000e^{(0.013t)\)

C. The predicted value of the home in 2022 is approximately $123,539.

D. The value of the home reached $130,000 approximately 11.91 years after 2011, which is in 2023.

What is exponential model?

An exponential model is a mathematical model that describes exponential growth or decay. It is a function of the form , where a and b are constants, and x is the variable that represents time or another independent variable.

(a) To find the growth rate k, we can use the initial and final values of the home and the time period in between:

V(0) = $95,000 (the initial value in 2011)

V(7) = $105,000 (the final value in 2018, 7 years later)

Using the exponential model V(t) = V0ekt, we can set up the following equation:

V(7) = $105,000 = \(V(0)e^{(k7)\)

$105,000/$95,000 = \(e^{(k7)\)

ln($105,000/$95,000) = k7ln(e)

k = ln($105,000/$95,000)/7 ≈ 0.013

The growth rate k is approximately 0.013, which means that the home value is increasing by about 1.3% per year.

(b) The exponential model for the value of the home is V(t) = \($95,000e^{(0.013t)\).

(c) To predict the value of the home in 2022, we can use t = 11 (since 2022 is 11 years after 2011) in the exponential model:

\(V(11) = $95,000e^{(0.013*11)\) ≈ $123,539

The predicted value of the home in 2022 is approximately $123,539.

(d) To find the year when the value of the home reached $130,000, we can set up the following equation:

\(130,000 = $95,000e^{(0.013t)\)

ln($130,000/$95,000) = 0.013t

t ≈ 11.91

The value of the home reached $130,000 approximately 11.91 years after 2011, which is in 2023.

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Answer:

sorry

Step-by-step explanation:

The natural logarithms of the given questions are f(e⁴) = 4, f(e ㏑ 5) = 5, and f(e³ ㏑ 5) = -0.5108.

What is the natural logarithm?

A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Given,

f(x) = ln x,

a) f(e⁴)

f(e⁴) = In(e⁴)

= 4In(e)

= 4 * 1

f(e⁴) = 4

b) f(e ㏑ 5)

= f(e⁻⁵)

= \(f(e^{\frac{1}{5} })\)

= In(1) - In(e⁵)

= 0 - 5In(e)

= 5*1

f(e ㏑ 5) = 5

c) f(e³ ㏑ 5)

\(= f(e^{\frac{3}{5} })\)

=  In(3) - In(e⁵)

= ln(3) - ln(5)

f(e³ ㏑ 5) = -0.5108

Hence, The natural logarithms of the given questions are f(e⁴) = 4, f(e ㏑ 5) = 5, and f(e³ ㏑ 5) = -0.5108.

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Answer:

0 = 0 means that there are infinite solutions.

Step-by-step explanation:

Equation is -5(-4+2n)=-10(n-2)

1. Distribute the -5 and -10

20 -10n = -10n + 20

2. Subtract 20 from one side to the other to get only 1 variable on 1 side.

-10n = -10n

3. divide -10 to separate the variable from the constant.

n = n

This means there are infinite solutions.

Answer:

Step-by-step explanation:

working backwards

the five minute walk

10:30 - 0:05 = 10:25

train ride to Birmingham

10:25 - 1:10 = 9:15

Next earliest train departure time

9:05

Getting to Euston Station

9:05 - 1:00 = 8:05 am

Probably wise to leave a couple of minutes earlier to allow for minor emergencies on the way to Euston Station or to account for potential clock synchronization errors.

The train schedule already allows an additional 10 minutes of buffer time after boarding.

The polygon does not belong to the group as it is created by a finite number of line segments and the concept of the radius of curvature is not applicable.

In this problem we have three shapes related to circle-like and ellipse-like arcs (circle, semicircle, ellipse) and a regular polygon.

Circles are closed figures created by a arc whose radius of curvature is the same at every point and ellipses are closed figures created  by a arc whose radius of curvature varies in the following interval: a ≤ r ≤ b, where a, b are the lengths of the semiaxes.

Polygons are closed figures created by a finite number of line segments and therefore the concept of radius of curvature is not applicable.

Therefore, the polygon does not belong to the group as it is created by a finite number of line segments and the concept of the radius of curvature is not applicable.

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