Which equation is true when x = 1/2 ? A. 6 ÷ x = 3 B. 8 x = 16 C. x + 2 = 1 D. 10 ÷ x = 20

Answer:

40000, 20000

Step-by-step explanation:

Let the amount a grandchild receives be \(x\). Then, the amount a child receives is \(2x\).

Thus, \(220000=2(2x)+7x=11x \implies x=20000\).

This means each grandchild gets $20,000 and each child gets $40,000.

Hey! Your answer to this would be \(\sqrt{330}\)

Answer:

yes and there a r godd film?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Money raised:

Answer:

30 cm

Step-by-step explanation:

the area is 1/2 base x height

so (1/2)x10 x 12

Answer:

60 cm squared

Step-by-step explanation:

The 13 cm is just to distract you.

The formula for calculating a triangle is (base x height)/2.

The base is 10 cm, and the height is 12 cm.

Then you plug in the numbers.

(10 x 12)/2=60 cm squared.

The reasonable domain for the function is (b) x > 0

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

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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a. The  slope of the curve at the point (4,16)   is approximately 1.165, and at the point (16,4)  is approximately -0.496.

b. The   curve has a horizontal tangent line at the points(0,0) and (3,27).

c. The   curve has a vertical tangent lineat the points (0,0) and (65/2, (65/2)³).

a. To find the   slope of the curve given by the equation x³ + y³ - 65xy = 0 at the points (4,16) and (16,4),we can differentiate the equation implicitly with respect to x and solve for dy/dx.

Differentiating the equation with respect to x, we have  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the slope at a specific point, substitute the x and y coordinates into the equation and solve for dy/dx.

For the point (4,16)  -

3(4)² + 3(16)²(dy/dx) - 65(16) - 65(4)(dy/dx) = 0

48 + 768(dy/dx) - 1040 - 260(dy/dx) = 0

508(dy/dx) = 592

(dy/dx) = 592/508

(dy/dx) ≈ 1.165

For the point (16,4)  -

3(16)² + 3(4)²(dy/dx) - 65(4) - 65(16)(dy/dx) = 0

768 + 48(dy/dx) - 260 - 1040(dy/dx) = 0

(-992)(dy/dx) = 492

(dy/dx) = 492/(-992)

(dy/dx) ≈ -0.496

Thus, the slope of the   curve at the point (4,16) isapproximately 1.165, and at the point (16,4) is approximately -0.496.

b. To find the point where the curve has   a horizontal tangent line, we need to find the x-coordinate(s)where dy/dx equals zero.

This means   the slope is zero and the tangent line is horizontal.

From the derivative we obtained earlier  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

Setting dy/dx equal to zero  -

3x² - 65y = 0

Substituting y = x³/65 into the equation  -

3x² - 65(x³/65) = 0

3x² - x³ = 0

Factoring out an x²  -

x²(3 - x) = 0

This equation has two solutions  -  x = 0 and x = 3.

hence, the curve has a horizontal   tangent line at the points(0,0) and (3,27).

c. To find the point where the curve has a vertical tangent line, we need to find the x-coordinate(s)   where the derivative is undefinedor approaches infinity.

From the derivative  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the vertical tangent line, dy/dx should be undefined or infinite. This occurs when the denominator of dy/dx is zero.

Setting the denominator equal to zero:  -

65x = 65y

x = y

Substituting this condition back into the original equation  -

x³ + x³ - 65x² = 0

2x³ - 65x² = 0

x²(2x - 65) = 0

This equation has two solutions  - x = 0 and x = 65/2.

Therefore, the curve has a vertical tangent line   at the points (0,0)

and(65/2, (65/2)³).

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Answer:

Step-by-step explanation:

The matched statement to its corresponding reason for the given alternate interior angles as:

Given: Let points A, B, and C form a triangle.

definition: Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.

Congruent angles: m∠1=m∠4, m∠3 = m∠5

Linear pair theorem: m∠4+m∠2+m∠5 = 180°

As per the shown figure,

Given:

Let points A, B, and C form a triangle.

Defining a parallel line and labeling angles:

Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.

Alternate Interior Angles Theorem:

∠1=∠4

∠3 = ∠5

Congruent angles have equal measures:

m∠1=m∠4

m∠3 = m∠5

Definition of a straight angle and angle addition:

m∠4+m∠2+m∠5 = 180°

Substitution:

m∠1 + m∠2 +m ∠3 = 180°

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Answer:

the answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is 2, because it is the only factor that can go with both of the numbers.

Answer:

10√7+8√2

Step-by-step explanation:

The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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The acceleration of the collar at point A is 5 ft/s^2.

A) To determine the normal force on the collar at point A, we need to consider the forces acting on the collar. The only force acting on the collar in the vertical direction is the weight of the collar (5 lb), which is balanced by the normal force exerted by the rod. Therefore, we can write:

N - 5 = 0

where N is the normal force. Solving for N, we get:

N = 5 lb

B) To determine the acceleration of the collar at point A, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. The net force on the collar is given by the force exerted by the spring, which is equal to the spring constant times the displacement of the collar from its unstretched length. At point A, the displacement of the collar is:

x = L - y = 3 - 0 = 3 ft

where L is the length of the rod and y is the position of the collar on the rod. Therefore, the force exerted by the spring is:

F = kx = 10 lb/ft × 3 ft = 30 lb

The weight of the collar is:

W = mg = 5 lb

where g is the acceleration due to gravity. The net force on the collar is therefore:

Fnet = F - W = 30 - 5 = 25 lb

Using Newton's second law, we can write:

Fnet = ma

where a is the acceleration of the collar. Solving for a, we get:

a = Fnet / m = 25 lb / 5 lb = 5 ft/s^2

Therefore, the acceleration of the collar at point A is 5 ft/s^2.

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The 3 sets of data with the same median but different mean are given as follows:

The mean of a data-set is calculated as the sum of all values in the data-set divided by the number of values in the data-set.

The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% of the data-set is more than.

Hence, for a data-set of five elements, which is an odd cardinality, the median is the third element of the ordered data-set.

Then the three data-sets can be constructed with five elements, in which the third element is the same but the sum of the five elements is different.

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Answer:

F for number 14

Step-by-step explanation:

Answer: The answer you would be looking for is 126.

Step-by-step explanation:

If theres 21 you are multiplying by 6 and that is 126

Answer:

132 feet

Step-by-step explanation:

Volume = 11×3×4 = 132 feet

Answer:

Step-by-step explanation:

=> - 2(m - 30) = - 6m

=> - 2 × m - 2 × (- 30) = - 6m

=> - 2m + 60 = -6m

=> 6m - 2m = - 60

=> 4m = - 60

\( = > \frac{4m}{4} = \frac{ - 60}{4} \)

=> m = - 15 (Ans)

\( \bf \: \huge \: Question:\)

\( \sf -2 (m-30) = -6m\)

\( \bf \huge\: Solution:\)

We need to solve the equation.

\(\underline{ \bf \: Simplify \: both \: sides \: of \: this \: equation}\)

\( \sf \longmapsto \: - 2 (m - 30) = \: - 6m\)

\( \boxed{\bf \: Distribute : }\)

\( \sf \longmapsto \: ( - 2)(m)+( - 2)( - 30)= - 6m\)

\(\underline{ \bf \: On \: Simplifying \: the \: equation:}\)

\( \sf \longmapsto \: - 2m+60= -6m\)

\(\boxed{ \bf \: Add \: 6m \: to \: both \: sides:}\)

\( \sf \longmapsto - 2m+60+6m=\: - 6m+6m\)

\(\underline{ \bf \: \bf \: On \: Simplifying \: the \: equation:}\)

\( \sf \longmapsto \: 4m+60= - 6m+6m\)

\( \sf \longmapsto \: 4m+60=0\)

\( \boxed{\bf \: Subtract \: 60 \: from \: both \: sides:}\)

\( \sf \longmapsto 4m+60 - 60=0 - 60\)

\(\underline{\bf \: On \: Simplifying \: the \: equation:}\)

\( \sf \longmapsto 4m=0 - 60\)

\( \sf \longmapsto \: 4m = \: - 60\)

\( \boxed{\bf \: Divide \: both \: sides \: by \: 4:}\)

\( \sf \longmapsto \: \dfrac{4m}{4} = \dfrac{ - 60}{4} \)

\(\boxed{ \bf \: Cross-multiply:}\)

\( \sf \longmapsto \: m = - 15\)

______________________________________

\(\boxed{\bf Solving\: on \: another\: way:}\)

\( \sf \longmapsto - 2m + 60 = - 6m\)

\( \sf \longmapsto - 2m + 6m = - 60\)

\( \sf \longmapsto + 4m = - 60\)

\( \sf \longmapsto m = \dfrac{ - 60}{4} \)

\( \sf \longmapsto m = \cancel{ \dfrac{ - 60}{4}} \)

\( \sf \longmapsto m = - 15\)

________________________________

\( \underline{\bf \: Henceforth,the \: answer \: is:}\)

\(\boxed{\huge \red{m = - 15}}\)

the value of k for the given right-angle triangles is 5.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, Two right-angle triangles one of them has a height of 7 cm and a weight of 1 cm. While others have a height and base of the same measurement k.

The Hypotaneuse of the triangles is equal and the same.

From the general formula of the Pythagorean theorem

Hypotaneuse²  = height + bsase²

in a triangle with a height of 7

Hypotaneuse² = 7² + 1²

Hypotaneuse² = 49 + 1

Hypotaneuse² = 50...(1)

In a triangle with a height of k

Hypotaneuse² = k² + k²

Hypotaneuse² = 2k²....(2)

Since Hypotaneuse is the same

From comparing both equations

50 = 2k²

k² = 25

k = 5

therefore, the value of k for the given right-angle triangles is 5.

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Answer:

72 miles ....then she snored off

Step-by-step explanation:

18 % of 400  = .18 * 400 =  72 miles

Answer:

A hypothesis is "is a suggested solution for an unexplained occurrence that does not fit into current accepted scientific theory. The basic idea of a hypothesis is that there is no pre-determined outcome.". And an experiment is "is defined as to try out something new or to test a theory. An example of experiment is when you try out a new hair style. An example of experiment is when you use test tubes and chemicals in a lab to complete a project and to try to better understand chemical reactions.".

Answer:

13, 14

Step-by-step explanation:

The pattern is add 1, add 2, add 1, add 2

13 , 14 are the next 2 numbers in the sequence.

Answer:

Step-by-step explanation:

That mean he mows half of the lawn or just the front of the lawn . that means 50% of the lawn should be mowed.

Answer:

2/5

Step-by-step explanation:

So if you were to half that the bottom stays the same but the top you divide by two which 4 divided by 2 is 2 so you would need 2/5 cup of flour for your new recipe.

Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

Answer:

35

Step-by-step explanation:

This shape has 6 sides.

Sum of interior angles of a 6 sided shape is 720.

117 + 4x - 5 + 4x - 3 + 118

+ 3x + 6 + 3x - 3 = 720

4x + 4x + 3x + 3x

+ 117 + 118 + 6 - 5 - 3 - 3 = 720

14x + 241 - 11 = 720

14x + 230 = 720

14x = 720 - 230

14x = 490

x = 490/14

x = 35

Answer:

6.8333333333 or 41/6

Step-by-step explanation:

Answer:

a) 8 b)9 c)1 d) 3

Step-by-step explanation:

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

We have,

To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.

The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.

Let's calculate the number of half-lives required to reach 150mg:

Initial amount of aspirin = 625mg

Final amount of aspirin = 150mg

625mg / 150mg = 4.17

This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.

Since each half-life is 6 hours, we can calculate the total time it will take:

Total time = Number of half-lives * Half-life duration

Total time = 4.17 x 6 hours

Total time ≈ 25 hours and 1 minute

Therefore,

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

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Answer:

This is very unclear however if your miles are 214 and you need 1% of the miles you can multiply it by 0.01 and the answer would be 2.14 miles