all real numbers that are greater than 6 and less than 10

Answer:

If the quantity x doubles in value, the quantity y will also double in value for the ratio between x and y to remain the same.

Step-by-step explanation:

The relationship between x and y can be represented as follows:

y = bx ............................... (1)

Where the constant b represents the ratio between x and y and can be written as follows:

b = y / x ............................ (2)

Since b is a constant and quantity y varies directly with quantity x, equation 2 implies that the ratio between x and y always remain the same.

Therefore, if the quantity x doubles in value, the quantity y will also double in value for the ratio between x and y to remain the same.

For example, if x = 3 and y = 6, we can substitute into equation (2) and solve as follows:

b = 6 / 3 = 2

Now, if the quantity x doubles in value from 3 to 6 (i.e. 3 * 2 = 6), y must also double in value from 6 to 12 (i.e 6 * 2 = 12) so that the ratio between x and y is still equal to 2 as follows:

b = 12 / 6 = 2

Answer:

x = 2

     _

     3

If you need graphic say

Answer:

5y - 2

Step-by-step explanation:

1/3 ( 15y - 6 ) = (15y - 6) / 3 = 5y - 2

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Answer:

4.9

Step-by-step explanation:

Tenths is the number directly after the "." so the 8 in 4.87 is the tenth. Rounding is quite easy, since 7 is bigger than 5 you add 1 to the 8 thus rounding the 4.87 to 4.9

Answer:

4.90

Step-by-step explanation

in 4.87 the 7 hundredth is closer to 4.90 rather than 4.80

1. Direct Proof: If x divides y, then y can be expressed as y = kx for some integer k. Now, consider yp where p is any integer greater than or equal to 1. We need to show that x divides yp.

We can express yp as yp = kpx. Since x divides y (y = kx), we can substitute y in the expression yp = kpx to get yp = k(kx)p = kpxp. This shows that x divides yp, as it is a factor of kpxp.

Therefore, if x divides y, then x divides yp for all p ≥ 1.

2. Proof by Contradiction: Suppose the number of integers divisible by 42 is finite. Let's assume there are only finitely many such integers, and we'll denote them as n1, n2, ..., nk.

Consider the number N = 42(n1*n2*...*nk) + 42. Since each ni is divisible by 42, their product (n1*n2*...*nk) is also divisible by 42. Adding 42 to this product results in N being divisible by 42.

However, N is greater than all the integers ni, implying that there exists an integer greater than any of the assumed finite set of integers divisible by 42. This contradicts our initial assumption that the set of integers divisible by 42 is finite.

Therefore, the number of integers divisible by 42 must be infinite.

Using a direct proof, we established that if x divides y, then x divides yp for all p ≥ 1. Additionally, employing a proof by contradiction, we showed that the number of integers divisible by 42 is infinite.

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Answer:

x=56.666666666666

Step-by-step explanation:

x+2x+10=180

-10 -10

x+2x=170

3x=170

3. 3

x=56.666666666666

Answer:

x= 11/12

Step-by-step explanation:

you have to make 1/3 equivalent to 7/12 so now you get 4/12+7/12= 11/12

The answer is :

The volume of the replacement cone holds 4·π cubic inches more than the volume of the original cone.

The given measurements of the cones are;

The volume of cone, V = (\(\frac{1}{3}\))·π·r²·h

The volume of an original cone, V₁ = (\(\frac{1}{3}\))·π·r₁²·h₁

∴ V₁ = (\(\frac{1}{3}\)) × π × (3)² × 4 ≈ 37.7 in.³

The replacement cone's volume is, V₂ = (\(\frac{1}{3}\))·π·r₂²·h₂

∴ V₂ = (\(\frac{1}{3}\)) × π × (4)² × 3  ≈ 50.27 in.³

The volume ratio of the cone  = V₁/V₂

∴ Volume ratio = (\(\frac{1}{3}\)) × π × (3)² × 4 in. /((\(\frac{1}{3}\)) × π × (4 )² × 3) = 3/4

The difference in volume of two cone, ΔV = V₂ - V₁ = (\(\frac{1}{3}\)) × π × ((4)² × 3- (3 )² × 4  = 4·π in.³

Therefore, the volume of the replacement cone is 4·π cubic inches more than the volume of the original cone.

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Answer:

14/14

Step-by-step explanation:

multiply 7/7 by 2/2

=14/14

The required solutions of the situation of the function are  x = 3/4  or x = -1/4.

A unique connection where each input only produces one output. A common notation for it is "f(x)," where x denotes the input value. as in f(x) = x/2 ("f of x equals x divided by 2") Since there is only one output ("x/2") for each input ("x"), it is a function: • f(2) = 1.

We have,

f(x)=2x-1

g(x)=3/8x

To find the value of x for f(x) = g(x).

f(x) = g(x)

2x-1 = 3/8x

16x² - 8x = 3

16x² - 8x - 3 = 0

16x² - 12x + 4x - 3 = 0

4x(4x - 3) + (4x - 3) = 0

(4x - 3)(4x + 1) = 0

x = 3/4  or x = -1/4

Thus, required solution are  x = 3/4  or x = -1/4.

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Answer:

4 blocks

Step-by-step explanation:

The equation that can be used to solve for c in the given right triangle is the sine function: c = (3 meters) / sin(50°).

In the given right triangle ABC, we are given that angle ACB is a right angle (90°) and angle CBA is 50°. We also know the length of side AC, which is 3 meters. The length of side CB is denoted by "a," and the length of the hypotenuse AB is denoted by "c." To solve for c, we can use the trigonometric function sine (sin). In a right triangle, the sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we can use the sine of angle CBA (50°) to find the ratio between side CB (a) and the hypotenuse AB (c).

The equation c = (3 meters) / sin(50°) represents this relationship. By dividing the length of side AC (3 meters) by the sine of angle CBA (50°), we can find the length of the hypotenuse AB (c) in meters. Using the given equation, we can calculate the value of c by evaluating the sine of 50° (approximately 0.766) and dividing 3 meters by this value. The resulting value will give us the length of the hypotenuse AB, completing the solution for the right triangle.

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Answer:

17+ 65=82

PLZZZZZZZ Brainliest

Answer:

17 + 65 = 82

Step-by-step explanation:

17 + 65 = 82

Answer is y = 3r - 2p

1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

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all triangles have 180 total degrees, we know this

80 degrees are accounted for, so there's 100 left

3x - 25 = 100

3x = 125

x = 41.67

The expression 5 × 5 × 5 is expressed using the exponent \(5^3\)

The given expression is

5 × 5 × 5

The expression is the mathematical statement that consist of different variables, numbers and mathematical operator.

The power of a number that consider of base number and the exponent.

Therefore the power of a number is the a base number raised to the exponent.

The exponent of the number is defined as the number of times a number is multiplied by itself.

Here the given expression is

5 × 5 × 5 = \(5^3\)

Where 5 is the base number and 3 is the exponent

Hence, the expression 5 × 5 × 5 is expressed using the exponent \(5^3\)

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Answer:

c = 49°

Step-by-step explanation:

Inside of the triangle angles:

these angles sum up to total 180° angle

-c+165+c-16°+c–18° = 180

c +131 = 180

c = 180° - 131°

c = 49°

In a case whereby there are 60 buildings owned by 3 company's company a has 1/3 of computers company b has 2/5 then the fraction of company c is 4/15 or total of 16 company .

Based on the given information:

60 buildings were been owned by 3 company

Company A has 1/3 of company= 1/3 of 60= 1/3 * 60=20

Company B has 2/5  of company = 2/5 of 60= 2/5 * 60=24

Then company C = ( 1-1/3-2/5) =4/15 = 4/15 0f 60 = 16

To confirm we add as 20 +24 + 16 = 60

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The scale of the map is 1 inch for 6 miles

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

Distance apart = 36 miles

Distance on the map = 6 inches

Using the above as a guide, we have the following:

Scale = Distance on the map/Distance apart

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

Scale = 6 inches/36 miles

Evaluate

Scale = 1 inch/6 miles

Hence, the scale is 1 inch per 6 miles

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Answer:  54

The angles of a triangle add up to equal 180.

Since we already know two angles, we can just use simple math to find the third.

120 + 6 = 126

180 - 126 = 54

Answer:

54°

Step-by-step explanation:

A triangle ALWAYS measure a 180° Angle in total so if the first and second angle is 120° and 6°, just add it together and will form a 126° Angle so subtract it to 180° Angle and it will result in a 54° Angle

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The number of feet in 1 centimeter is 14 feet.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, in the scale drawing, the length of the cafeteria is 14 centimeters. the length of the actual cafeteria is 210 feet.

Here, 14 centimeters = 210 feet

1 centimeter =210/14 feet

1 centimeter =14 feet

Therefore, the number of feet in 1 centimeter is 14 feet.

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The distance from the base of the stand to the campfire is 285.6 feet.

The angle of depression of 35 degrees.

Let's denote the distance from the base of the stand to the campfire as "x."

Since we know that,

The values of all trigonometric functions depending on the ratio of sides in a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

Using the tangent function, we have:

tan(35 degrees) = opposite/adjacent

tan(35 degrees) = 200/x

To find the value of x, we can rearrange the equation:

x = 200 / tan(35 degrees)

x ≈ 200 / 0.7002

x ≈ 285.6 feet

Therefore, the distance from the base of the stand to the campfire is 285.6 feet.

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Answer: 0 is y intercept and 6 is x intercept.

Step-by-step explanation:

Given information:v.magnitude = 3v makes an angle with positive x-axis.The angle made by v with the positive x-axis is 150°.v is in the direction 4i + 3j.Solution: We have to find the component form of v.

Let's represent the given information on a graph:From the above graph, we can say that v makes an angle of 30° with negative y-axis.The angle between v and the negative y-axis = 180° - 30° = 150°Let's find the magnitude of v:Let v be (x,y).v = x i + y j

Magnitude of v, |v| = √(x² + y²) = 3 Therefore, x² + y² = 3² = 9 ...(1)Angle made by v with negative y-axis, θ = 30°∴ The angle made by v with positive x-axis, α = 150° - 90° = 60°sinθ = y/|v|y = 3 sinθ = 3 sin(30°) = 1.5From equation (1),x² + 1.5² = 9x² = 9 - 2.25 = 6.75x = ± √6.75Since v makes an angle of 150° with the positive x-axis, the vector v lies in the second quadrant. Therefore, x is negative.So, x = - √6.75 and y = 1.5Hence, the component form of v is:(- √6.75, 1.5).Thus, the component form of v is (- √6.75, 1.5).

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Answer:

all of them

Step-by-step explanation:

If x and y are proportional, then it will create a straight (linear) line

Answer:

all of them

Step-by-step explanation:

Answer:

A.f(x)

Step-by-step explanation:

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