Which bar diagram represents the equation 5x + 7.5 = 15? A bar diagram. The top box contains 5 x. The bottom boxes contain 7.5 and 15. A bar diagram. The top box contains 7.5. The bottom boxes contain 5 x and 15. A bar diagram. The top box contains 15. The bottom boxes contain 5 x and 7.5. A bar diagram. The top box contains 5. The bottom boxes contain 7.5 x and 15.

Answer:

The minimum would be 4,500, and the maximum would be 4,700.

Step-by-step explanation:

If I am not mistaken, you simply need to add or subtract 100 to find the minimum or maximum, as it stated that 4,600 is an estimate that is valid for a range of 100 (up or down).

Answer:

Adding or subtracting a constant that is in the radical will shift the graph left (adding) or right (subtracting). 

Step-by-step explanation:

Answer:

Step-by-step explanation:

Adding or subtracting a constant that is in the radical will shift the graph left (adding) or right (subtracting). Multiplying a negative constant by the equation will reflect the graph over the x-axis. Multiplying by a number larger than one increases the y-values.

\( - 11a(3a + 2) \\ = - 11a \times 3a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11a \times 2a \\ = - 11 \times 3 \times a \times a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11 \times 2 \times a \times a \\ =\boxed {- 33a {}^{2} - 22a {}^{2}}\)

\(I \: hope \: it \: will \: help \: you\)

Total fifty minutes , Jordan spend on doing his homework including maths homework (11 mintues).

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often specified with the percent sign '%' . It is unitless number. We have , Jordan spent 22% of his time in doing maths homework. Let us assume Jordan has total "y" minutes for spending in his homewok.

total 22% of his homework time (i.e y) spent in doing math = 11 mint.

That is, 22% of y = 11 minutes

=> (22/100)y = 11

=> 22 y = 1100

=> y = 1100/22

=> y = 50

Hence, required total spend time in doing homework is 50 minutes .

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The numerical value is a statistic.

A parameter is a value that is used to describe a whole population. A statistic is a number that describes a sample.

There would be more than 2707 homeowners in Michigan. Thus, only a sample of all homeowners was used. Since a sample was used the numerical value is a statistic.

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The lame answer is that you put it into a calcuator and see.

The more formal way you know is if, when the fraction is reduced, the denominator's only prime factors are 2s or 5s.  If that's the case, the fraction will terminate.  If you have any prime factor other than 2 or 5, it will repeat.

But knowing that "2 or 5 prime factor" idea would have to be something specifically taught in your class (or a prerequisite class).

Approximating to the nearest integer, we get, c ≈ 25 inches. Hence, the correct option is d. 35 pulgadas.

Given that in the triangle △ABC, ∠A = 105∘ , ∠B = 30∘ and b = 25 inches. To find: The measure of c rounded to the nearest integer. In order to solve this problem, we will use the law of sines which states that, a/sinA = b/sinB = c/sinC where a, b and c are sides of the triangle and A, B, and C are the opposite angles. So, we can write,

sinC = (c/sinC) x sinC = (c/sinC) x sinA/sinA = a/sinA

Also, we know that sum of all angles of a triangle is 180°.

Therefore, ∠C = 180° - ∠A - ∠B = 180° - 105° - 30° = 45° Thus, sin C = sin45° = √2/2 Therefore, c/sinA = √2/2c = (sinA/√2) x c

Substituting values of sinA and c, we get, c = (sin105/√2) x 25 = 24.55 inches

Approximating to the nearest integer, we get, c ≈ 25 inches. Hence, the correct option is d. 35 pulgadas.

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Step-by-step explanation:

x² - 9

1. There is no common factor other than 1.

2. √x² = x; √9 = 3

3. a = x; b = 3

4. x² - 9 = (x - 3)(x + 3)

The reciprocal of 6 and -12y -18x are:

\( \frac{1}{6} and \: \frac{1}{ - 12y - 18x} \)

Answer:

A can with capacity 44 litres

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The monthly interest rate is the annual interest rate divided by 12

To calculate the monthly interest rate, we need to divide the annual interest rate by 12 (since there are 12 months in a year).

So if the annual interest rate is 8%, the monthly interest rate can be calculated as:

Monthly interest rate = Annual interest rate / 12

Monthly interest rate = 8% / 12

Monthly interest rate = 0.6667%

Therefore, the monthly interest rate would be 0.6667%.

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For base case: mysquare(1) = 1; recursive case: mysquare(n) = mysquare(n-1) + 2n -1, there will be 5 method calls to mysquare for mysquare(5).

Recursive square method is adaptive filter algorithm that recursively finds the coefficients that minimize a weighted linear least squares cost function relating to the input signals.

For mysquare(5), we have:

mysquare(5) = mysquare(4) + 9

           = mysquare(3) + 7 + 9

           = mysquare(2) + 5 + 7 + 9

           = mysquare(1) + 3 + 5 + 7 + 9

           = 1 + 3 + 5 + 7 + 9

           = 25

Therefore, there will be 5 method calls to mysquare for mysquare(5)

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Answer:

20%

Step-by-step explanation:

Divide 4 (tip) by 20 (total bill) and you get 20 percent.

Answer:

20% tip

Step-by-step explanation:

4/20 = 0.2

Convert to a percentage:

0.2*100 = 20%

The standard matrix of the linear transformation T, given the conditions [10] [30]T ([ 3 ]) = [ 3 ] and T ([ 4 }) = [-21][-7 ] [-3 ] [-1 ], is A = [-3/2 1/2; -2 1].

To find the standard matrix of T, we need to determine the image of the standard basis vectors of R2 under T.

Let's start by finding T([1,0]T) and T([0,1]T).

T([1,0]T) can be expressed as a linear combination of the columns of the standard matrix of T, which we will denote as A. Let A = [a b; c d] be the standard matrix of T. Then:

T([1,0]T) = [a c]

Similarly, T([0,1]T) can be expressed as:

T([0,1]T) = [b d]

Next, we can use the given information to determine the values of a, b, c, and d.

We know that T([3,0]T) = [3,0]T, so:

[10 30][a b] = [3 0]

Solving for a and b, we get:

a = -3/2, b = 1/2

We also know that T([4,-3]T) = [-21,-7]T, so:

[10 30][c d] = [-21 -7]

Solving for c and d, we get:

c = -2, d = 1

Therefore, the standard matrix of T is:

A = [-3/2 1/2; -2 1]

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The surface integral ∬S F⋅dS, where F =  <1, y², -(1 - z - x)²> , and S is part of the plane x+y+z=1 where x² + y² ≤ 1, oriented upwards, is equal to 2/3 + 1/2 (2π - 1).

To compute the surface integral ∬S F⋅dS, where F = <1, y², -(1 - z - x)²> and S is part of the plane x + y + z = 1 where x² + y² ≤ 1, oriented upwards, we can use the divergence theorem.

Calculate the divergence of F:

∇ · F = ∂/∂x(1) + ∂/∂y(y²) + ∂/∂z(-(1 - z - x)²)

= 0 + 2y + 2(1 - z - x)(-1)

= 2y - 2(1 - z - x)

= -2x - 2y + 2z

Determine the unit normal vector to the surface S:

The plane x + y + z = 1 has a normal vector given by <1, 1, 1>. Since we want the surface to be oriented upwards, we use the unit normal vector <1, 1, 1>/√3.

Calculate the magnitude of the normal vector:

|n| = √(1² + 1² + 1²) = √3

Step 4: Evaluate the surface integral using the divergence theorem:

∬S F⋅dS = ∭V (∇ · F) dV

= ∭V (-2x - 2y + 2z) dV

Determine the limits of integration for the volume V:

The volume V is determined by the region x² + y² ≤ 1 and the plane x + y + z = 1. Since the plane intersects the unit circle in the xy-plane, we can use polar coordinates to represent the volume.

In polar coordinates, we have x = r cos(θ), y = r sin(θ), and z = 1 - r cos(θ) - r sin(θ), where r varies from 0 to 1 and θ varies from 0 to 2π.

Rewrite the surface integral in terms of polar coordinates:

∬S F⋅dS = ∫θ=0 to 2π ∫r=0 to 1 ∫z=0 to 1 -2r cos(θ) - 2r sin(θ) + 2(1 - r cos(θ) - r sin(θ)) r dz dr dθ

Evaluate the integral:

∬S F⋅dS = ∫θ=0 to 2π ∫r=0 to 1 [-2r cos(θ) - 2r sin(θ) + 2(1 - r cos(θ) - r sin(θ))] r dz dr dθ

Since the integrand does not depend on z, the innermost integral with respect to z evaluates to 1:

∬S F⋅dS = ∫θ=0 to 2π ∫r=0 to 1 [-2r cos(θ) - 2r sin(θ) + 2(1 - r cos(θ) - r sin(θ))] r dr dθ

Next, evaluate the integral with respect to r:

∬S F⋅dS = ∫θ=0 to 2π [-2/3 r³ cos(θ) - 2/3 r³ sin(θ) + 1/2 r² (1 - r cos(θ) - r sin(θ))]|r=0 to 1 dθ

Simplifying further:

∬S F⋅dS = ∫θ=0 to 2π [-2/3 cos(θ) - 2/3 sin(θ) + 1/2 (1 - cos(θ) - sin(θ))] dθ

Integrating with respect to θ:

∬S F⋅dS = [-2/3 sin(θ) + 2/3 cos(θ) + 1/2 (θ - sin(θ) - cos(θ))]|θ=0 to 2π

Evaluating the expression:

∬S F⋅dS = [-2/3 sin(2π) + 2/3 cos(2π) + 1/2 (2π - sin(2π) - cos(2π))] - [-2/3 sin(0) + 2/3 cos(0) + 1/2 (0 - sin(0) - cos(0))]

Simplifying further:

∬S F⋅dS = [-2/3 (0) + 2/3 (1) + 1/2 (2π - 0 - 1)] - [-2/3 (0) + 2/3 (1) + 1/2 (0 - 0 - 1)]

Finally, we have:

∬S F⋅dS = 2/3 + 1/2 (2π - 1)

Therefore, the surface integral ∬S F⋅dS, where F=<1,y²,-(1-z-x)²> and S is part of the plane x+y+z=1 where x² +y² ≤1, oriented upwards, is equal to 2/3 + 1/2 (2π - 1).

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Answer:

D. In scattering, long wavelengths are scattered the most.

Step-by-step explanation:

Scattering of light is the effect observed when there is an interaction between light energy and some particles. This occurs often in the earth's atmosphere which consists of different sizes of particles that interacts with the sunlight.

In scattering, light of shorter wavelengths are scattered by small sized particles compared to those with longer wavelengths. Example is the scattering of the sunlight by the atmospheric particles where colors with short wavelengths are scattered the most.

Arnold need to correct the statement; In scattering, long wavelengths are scattered the most. To read; In scattering, short wavelengths are scattered the most.

Answer:

D on edgen

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

Answer:

you can use m ath way or soc rat ic  

the words are together.

Step-by-step explanation:

hope this helps !!

\( =\tt 3.2 + 4x + 18.25 + 6x\)

\( = \tt4x + 6x + 3.2 + 18.25\)

\(\color{plum} = \tt\bold{10x + 21.45}\)

Therefore,

\(\color{hotpink}\tt 3.2 + 4x + 18.25 + 6x \color{plum}= 10x + 21.45\)

If a=4, b=6, and sina=3/5 in triangle abc, then sin b equals: 9/10

To find sin(b) in triangle ABC, we can use the sine function in a right angle and the given information.

Given:

a = 4

b = 6

sin(a) = 3/5

We know that the sine of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In triangle ABC, let's label the side opposite angle a as side c and the hypotenuse as side h.

sin(a) = c / h

Substituting the given values:

3/5 = 4 / h

To solve for h, we can cross-multiply:

3h = 5 * 4

3h = 20

h = 20 / 3

Now, we can use the sine function to find sin(b):

sin(b) = side opposite angle b / hypotenuse

sin(b) = 6 / (20 / 3)

sin(b) = 6 * (3 / 20)

sin(b) = 18 / 20

sin(b) = 9 / 10

Therefore, sin(b) equals 9/10.

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Answer:

I believe its 25.

The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).

Given that,

Because watching TV via digital streaming is becoming more and more common, tv advertising companies are having a harder time connecting with viewers. 53% of the 2343 American adults surveyed by the Harris Poll on November 13, 2012, claimed they had viewed digitally streamed television content on at least one device.

We have to find what is the sample proportion? firstly, the z-critical value is ? What is the confidence interval at 99%?

We know that,

n = 2343

Point estimate = sample proportion = \(\hat p\) = 0.530

1 - \(\hat p\) = 1 -0.530 = 0.470

At 99% confidence level

α = 1-0.99% =1-0.99 =0.01

α /2 =0.01/ 2= 0.005

Z(α /2) = Z0.005 = 2.576

Z (α/2) = 2.576 = 2.58

Margin of error = E = Z (α/2) × √((\(\hat p\) × (1 - \(\hat p\) )) / n)

=2.576 × (√(0.530×(0.470) /2343 )

= 0.027

A 99% confidence interval for population proportion p is ,

\(\hat p\)- E < p < \(\hat p\) + E

0.530 -0.027 < p < 0.530 +0.027

0.503 < p < 0.556

( 0.503, 0.556 )

Therefore, The sample proportion is 0.530 and the z-critical value is 2.58 and the confidence interval at 99% is ( 0.503, 0.556 ).

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Answer:

Step-by-step explanation:

no graph was shown

The values of the x component of d1 is 6.5, the y component of d1 is 23 the x component of d2 is 2.6 and the y component of d2 is 9.2

Given that,

d1 +d2 = 7.0d3,   (1)

d1-d2 = 3.0d3    (2)

and d3= 1.3i +4.6j         (3)

Adding equation 1 and equation 2

d1 +d2 +d1 -d2 = 7 d3 + 3 d3

2d1 = 10 d3

d1 = 5d3

and we also have that  d3= 1.3i +4.6j    

substitute the given d3 in  d1 = 5d3

therefore , d1 = 5(1.3i +4.6j)

d1 = 6.5i + 23 j

here the x component of d1 is 6.5

subtract 2 from 1

d1+d2-d1+d2 = 7d3-3d3

2d2 = 4d3

d2 = 2d3

d2 = 2(1.3i +4.6j)

     = 2.6 i + 9.2j

here the x component of d2 = 2.6

the y component of d2 = 9.2

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Answer:

1/8^5 is the simplified answer  

Step-by-step explanation:

The horizon is about 1,027 miles away if a person is in the international space station about 240 miles above the surface of the earth.

As a general rule, the horizon is located 2.9 miles away from an observer on the Earth's surface, and it is because of the planet's curvature. If a person moves up in the sky, the horizon line will also move up because the person's line of sight is increasing in distance.

In other words, if a person moves to a higher altitude, they will be able to see farther. The calculation to determine the distance of the horizon is based on the following formula:
D = √[(2Rh) + h²]

D is the distance to the horizon

R is the radius of the earth

h is the height above sea level of the observer in meters.

The radius of the Earth is about 6,371 kilometers, and it can be converted to meters by multiplying it by 1,000. The altitude of the International Space Station (ISS) is approximately 408 kilometers above the Earth's surface or 240 miles.

Using this information, we can calculate the distance to the horizon.
D = √[(2 * 6,371,000) + (408,000)²]D = √[(12,742,000) + (166,464,000,000)]D = √[166,476,742,000]D ≈ 408,216 meters
≈ 1,338,381.8 feet ≈ 403.6 km ≈ 252 miles

Therefore, if a person is on the International Space Station about 240 miles above the Earth's surface, the horizon will be around 1,027 miles away.

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Given:

QRST is an isosceles trapezoid with RS||QT.

To find:

The value of x, angle R and angle T.

Solution:

If a transversal line intersect two parallel lines then the sum of same sides interior angles is 180 degrees.

\(m\angle Q+m\angle R=180\)

\((6x-22)+(8x+34)=180\)

\(14x+12=180\)

\(14x=180-12\)

\(14x=168\)

Divide both sides by 14.

\(x=\dfrac{168}{14}\)

\(x=12\)

Now,

\(m\angle R=(8x+34)^\circ\)

\(m\angle R=(8(12)+34)^\circ\)

\(m\angle R=(96+34)^\circ\)

\(m\angle R=130^\circ\)

We know that the base angles of an isosceles triangle are equal.

\(m\angle T=m\angle Q=(6x-22)^\circ\)

\(m\angle T=(6(12)-22)^\circ\)

\(m\angle T=(72-22)^\circ\)

\(m\angle T=50^\circ\)

Therefore, \(x=12,\ m\angle R=130^\circ\) and \(m\angle T=50^\circ\).

Answer:

d

Step-by-step explanation:

24 + 18= 42

42/7=6

Answer:

Step-by-step explanation:

Let's go through this step by step.

Multiples of 12:

Multiples of 27:

As shown above, there are 2 108's, which are the first multiples to match.

Your answer is 108.