I need to figure this out TODAY!!!!

The ratio of c:d:e is 1:3:2.

To find the ratio, you can multiply the first ratio by the second ratio: 1 * 2 = 2 and 3 * 3 = 9, so the ratio becomes 2:9:6, which can be simplified to 1:3:2.

A ratio is a comparison between two values. To calculate a ratio, divide the first value by the second value. For example, if you have three apples and seven bananas, the ratio of apples to bananas would be 3/7.

You can also simplify a ratio by dividing both values by their greatest common divisor. For example, if the ratio of apples to bananas is 6/14, you could simplify it to 3/7.

It's also possible to express a ratio as a fraction, decimal, or percentage. To convert a ratio to a fraction, simply divide the two values. To convert a ratio to a decimal, divide the numerator by the denominator. To convert a ratio to a percentage, multiply the ratio by 100.

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First find the measure of the third angle:

180 - 56 - 68 = 56.

This has two identical angles which make it an isosceles triangle.

Answer:

To factorize completely each polynomial, let's work through the given expressions:

8: This is already factored.

3: This is already factored.

9: This is already factored.

3x - 15x + 18: We can factor out a common factor of 3:

3(x - 5x + 6) = 3(x^2 - 5x + 6).

2x + 11x + 10x: We can factor out a common factor of x:

x(2 + 11 + 10) = x(23).

8x - 18x: We can factor out a common factor of 2x:

2x(4 - 9) = 2x(-5).

5x - 40x? + 60x: There seems to be an error in the expression. Please provide the correct expression.

(5) 4x^2 + 8x - 60: We can factor out a common factor of 4:

4( x^2 + 2x - 15) = 4(x + 5)(x - 3).

6 2x^3 - 20x^2 - 48x: We can factor out a common factor of 2x:

2x(x^2 - 10x - 24) = 2x(x - 12)(x + 2).

4m^2 - 18m + 14: This expression is already factored.

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By using the formula of curved surfaced area of cylinder, it can be calculated that-

Height of the cylinder = 3.18 cm

What is curved surface area of cylinder?

Curved surface area of cylinder is the space occupied by the curved surface of the cylinder.

If r is the radius of the cylinder and h is the height of the cylinder, then curved surface area of cylinder is calculated by the formula

Curved surface area of cylinder = 2\(\pi\)rh

Let the height of the cylinder be h cm

Radius = 5 cm

Curved surface area = 2\(\pi\)rh

                                  = \(2\times \frac{22}{7}\times 5 \times h\)

                                  = \(\frac{220}{7}h\)

By the problem,

\(\frac{220}{7}h = 100\)

\(h = \frac{100 \times 7}{220}\)

h = 3.18 cm

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Answer:

Explanation: Over the summer, Nancy exercised daily, and her weight went 145 pounds to 132 pounds. we need to find the percent change:

Change in weight is:

Change is percent is:

The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.

Total distance if Pete walks from A to B to C:

= 15 + 25 = 40 yards

As we know in the triangle the sum of the two sides is greater than the third side.

25 + 15 > AC

40 > AC

or

AC < 40

The direct distance from A to C is more than 10(25-15) yards.

The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.

Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

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Answer:

40, 10, 30
see picture

Step-by-step explanation:

Arlyn is not correct because after adding service fee and groceries cost total will be $119.79 but in question its mentioned to be $119.90.

The equation which varies linearly with each other variables.

highest degree of the linear equation must be  1.

Total amount customer have to pay after groceries being delivered = y

Only groceries amount = x

Arlyn has groceries delivered for a total cost = $119.90

Grocery cost = $108.90

According to condition,

y = 1.1x ,

$119.90 ≠ 1.1 × $108.90

Hence both of the terms are not equal

so, Aryln is not correct.

If the total cost is $119.79 so aryln is correct in that case.

To validate the equation y = 1.1x , Aryln must have to pay $119.79.

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Answer:

Step-by-step explanation:

Let,

One of the siblings age be = x

So, the other siblings ages are = x+2, x+4 and x+6

Since,

Ashley is the oldest sibling so his age is x + 6

∴ By the problem,

=> x + (x+2) + (x+4) + (x+6) = 100

=> 4x + 12 = 100

=> 4x = 100 - 12

=> 4x = 88

=> x = 22

Now,

We got the age of the youngest one that is 22 years

As,

Ashley is the oldest sibling so his age is

= 22 + 6 = 28 years

Hence,

The age of Ashley is 28 years (Ans)

Answer:

28 years old

Step-by-step explanation:

100/4 = 25

The ages are consecutive even numbers,

so add 1 to and subtract 1 from 25.

Add 3 to and subtract 3 from 25.

Ages: 22, 24, 26, 28

Ashley is the oldest: 28 years old

Answer:

∠ A = 138° , ∠ C = 75°

Step-by-step explanation:

ABCD has parallel bases and is a trapezium

each lower base angle is supplementary to the upper base angle on the same side.

∠ A + 42° = 180° ( subtract 42° from both sides )

∠ A = 138°

∠ B + ∠ C = 180 , that is

12x - 3 + 9x - 6 = 180

21x - 9 = 180 ( add 9 to both sides )

21x = 189 ( divide both sides by 21 )

x = 9

Then

∠ C = 9x - 6 = 9(9) - 6 = 81 - 6 = 75°

The angle of elevation of the ladder in degrees is 65.2°.

Let us assume the angle of elevation be theta. It can be calculated using cos function. Forming the relation -

cos theta = base ÷ hypotenuse, where base is the distance between ladder and building and hypotenuse is the length of ladder. Keep the values in formula to find the value of cos theta.

cos theta = 5 ÷ 12

Performing division on Right Hand Side of the equation

cos theta = 0.42

Calculating the value of theta now.

theta = \( {cos}^{-1} \) 0.42

theta = 65.2°

Hence, the angle of elevation is 65.2°.

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The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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Answer:

D

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

I was to lazy to provide an explanation

9514 1404 393

Answer:

  a.  4x^2 +16x -48 = 4x^2 +16x -48

  b.  -3x^2 +12x +36 = -3x^2 +12x +36

  c.  x^2 +12x +35 = x^2 +12x +35

Step-by-step explanation:

In general, you would prove this by transforming one of the expressions into the other. The easiest would be to transform the factored form into the vertex form, perhaps, as this would spare you trying to explain the magic of factoring.

Alternatively, you can transform both expressions into the same (standard) form. I believe that will be the easiest of all.

The product of two binomials is ...

  (x +a)(x +b) = x(x +b) +a(x +b) = x^2 +bx +ax +ab

  (x +a)(x +b) = x^2 +(a+b)x +ab . . . . after collecting terms

The square of a binomial is the same thing, but with b=a, so ...

  (x +a)^2 = x^2 +2a +a^2

Using these forms, we can avoid showing all of the intermediate "work" of making the desired transformations.

__

a.  4(x -2)(x +6) = 4(x +2)^2 -64

  4(x^2 +4x -12) = 4(x^2 +4x +4) -64 . . . . . expanding the products

  4x^2 +16x -48 = 4x^2 +16x +16 -64 . . . . using the distributive property

  4x^2 +16x -48 = 4x^2 +16x -48 . . . . . collect terms; expressions are equal

__

b.  -3(x +2)(x -6) = -3(x -2)^2 +48

  -3(x^2 -4x -12) = -3(x^2 -4x +4) +48

  -3x^2 +12x +36 = -3x^2 +12x -12 +48

  -3x^2 +12x +36 = -3x^2 +12x +36

__

c.  (x +5)(x +7) = (x +6)^2 -1

  x^2 +12x +35 = x^2 +12x +36 -1

  x^2 +12x +35 = x^2 +12x +35

Answer:

A. 3 and 1/3 (Fraction),  B. Has infinite answer (I think. I may have this wrong),  and C. 0.

Step-by-step explanation:

A. We have the equation 4(x-2)(4+6)= 4(x+2)^2 - 64.

1. (4x-8)(10)=(4x+8)^2 - 64  (We have to use PEMDAS, so the P goes first).

2.(4x-8)(10)= 16x +64 - 64 (Then we use E next.)

3. 40x-80 = 16x (Again with the P)

4. 40x = 16x +80 (Add 80 to both sides. And you might have drop the PEMDAS Here I think).

5. 24x = 80      (We subtract 16x from both sides)

6. x = 3 and 1/3  (Divide both sides by 24.

B. We have the equation: -3(x+2)(x-6)=-3(x-2)^2+48

1. Times the -3.

(-3x-6)(x-6)=(-3x-6)^2 +48

2. Times the exponent

(-3x-6)(x-6)=9x+36+48

3. Times the the ones that are in the braces the first using FOIL and add the other on the other side of the equation.

-3x^2 + 12x +36= 9x+84

4. Subtract 9x and 36 from both sides

-3x^2 +3x= 48

This may have an infinite answer to this, and I don't know if I'm wrong on this.

C. (x+5)(x+7)= (x +6)^2 -1

1. Times the exponent

(x+5)(x+7) = x^2 + 36 -1

2. Times the ones in the braces using FOIL.

x^2+7x+5x+35=X^2+36-1

3. Add all of the like Terms.

x^2+12x+35=x^2+35

4. Subtract x^2 from both sides  (I may did this wrong)

12x + 35 = 35

5. Subtract 35 from both sides.

12x = 0

6. Divide both sides by 12 (I may have this wrong too)

x=0

And that's it. I may have some things wrong, but it's worth a shot.

The dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units are 150 units x 150 units. This solution yields an area of 22,500 square units.

To find the dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units, we can use the concept of optimization. Let's assume that the rectangle has a length of L and a width of W, with a partition dividing it into two smaller rectangles.
Since all the sides (including the partition) sum to 600 units, we can express this mathematically as:
L + W + 2x = 600
where x represents the length of the partition. Rearranging the equation, we get:
L + W = 600 - 2x
The area of a rectangle is given by the formula A = L x W. To find the largest possible area of the rectangle, we need to maximize this function.
Substituting the above equation into the area formula, we get:
A = (600 - 2x - W) x W
Expanding and simplifying, we get:
A = 600W - 2W^2 - Wx
To find the maximum value of A, we can differentiate it with respect to W and set it equal to zero:
dA/dW = 600 - 4W - x = 0
Solving for W, we get:
W = (600 - x)/4
Substituting this value of W back into the equation for A, we get:
A = (600 - x)^2/16
To maximize A, we need to minimize x. Since x represents the length of the partition, this means that the partition should be as small as possible. Therefore, the largest rectangle that can be formed will be a square with sides of 150 units, and the partition will have a length of zero.
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Answer:

A

Step-by-step explanation:

i believe it is SAS because from the A to the B there is a side and at B it is an angle and then from B to D or C, it is another side. not 100% sure but it seems right :)

'The best-predicted value of y^ is  97.24 " . We are given the regression equation as y^ = 14.68 + 0.86x, where x is the IQ score of the wife and y^ is the predicted IQ score of the husband.

Substituting x = 96 in the regression equation, we get:

y^ = 14.68 + 0.86(96)

= 14.68 + 82.56

= 97.24

Therefore, the predicted IQ score of the husband when the wife's IQ score is 96 is 97.24.

To check if this prediction is statistically significant at a significance level of 0.05, we can perform a hypothesis test.

Null Hypothesis: β1 = 0 (there is no linear relationship between the IQ scores of husbands and wives)

Alternative Hypothesis: β1 ≠ 0 (there is a linear relationship between the IQ scores of husbands and wives)

We are given the correlation coefficient r = 0.839 and the sample size n = 20. Using these values, we can calculate the t-statistic as:

t = r√(n-2)/√(1-r²) = 0.839√(20-2)/√(1-0.839²) = 5.44

The degrees of freedom for the t-distribution are df = n-2 = 18. Using a t-table with 18 degrees of freedom and a significance level of 0.05, we find that the critical values are ±2.101.

Since the calculated t-statistic of 5.44 is greater than the critical value of 2.101, we reject the null hypothesis and conclude that there is a significant linear relationship between the IQ scores of husbands and wives.

Therefore, we can have confidence in the predicted IQ score of the husband when the wife's IQ score is 96, and we can say that it is statistically significant at a significance level of 0.05.

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Step-by-step explanation:

x is the hypothnes so u can done by trigonometric formula

c2=a2+b2

×2=6square +8square

x2=36+64

x=square root of 100

x=10(sorry my phone hasn't square)

Answer:

x = 10

Step-by-step explanation:

One can assume that the line drawn down the middle splits the triangle into two congruent portions, thus it is an angle bisector, altitude, and median. This forms two congruent right triangles. Therefore, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,

\(a^2 + b^2 = c^2\)

Where (a) and (b) are the legs or the sies next to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve, remember that a median splits the base in half,

\((8)^2+(6)^2=c^2\\\\64 + 36 = c^2\\\\100 = c^2\\\\10 = c\)

The length of the entire tunnel is 127.88 meters by using cosine law or formulae.

Here we can use the formulae of cosine when two sides a and b and angle between then is given we can apply it.

\(c^{2} =a^{2} +b^{2} -2ab cos (\alpha )\)

Let us take surveyor as point A

one end of the tunnel denoted by point B

other end of the tunnel denoted by point C.

The length of AB is 101 meters

length of AC is 120 meters.

Measure of angle at point A = 42° + 28° =70°

Now lets find the length of tunnel

=\(\sqrt{(120^{2})+(101^{2})-2.(120)(101) cos (70) }\)

=\(\sqrt{14400+10201-24240(0.34)}\)

=\(\sqrt{24601-8246}\)

\(\sqrt{16355}\)

=127.88 meters.

Hence the length of the entire tunnel is 127.88 meters.

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d. cylinder a frozen juice can suggests the geometric solid of a cylinder due to its cylindrical shape with circular bases and a curved surface.

A frozen juice can typically has a cylindrical shape, characterized by its circular base and curved sides. The cylindrical shape is suggested by the can's structure, with a constant radius and height throughout.

To further explain, a cylinder is a geometric solid that has two congruent circular bases connected by a curved surface. The frozen juice can perfectly fits this description, as it has a circular lid and bottom, and its sides are formed by the curved surface connecting the two circular bases. The cylinder is known for its uniform cross-section, constant radius, and constant height, which are also present in the frozen juice can.

a frozen juice can suggests the geometric solid of a cylinder due to its cylindrical shape with circular bases and a curved surface.

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In general, any symmetrical object will have a net torque of zero if the axis of rotation is through its center of mass.

It seems that the list of examples is missing from your question, so I'll provide a general explanation of situations where the net torque is zero. Please feel free to provide a list of examples for a more specific answer.

A net torque of zero about an axis perpendicular to the page and extending from the center means that the total clockwise torque is equal to the total counterclockwise torque. This can occur when:

1. There are no external forces acting on the system, so there is no torque.
2. The external forces are acting along the line of the axis, causing no rotation and hence no torque.
3. The clockwise and counterclockwise torques cancel each other out, resulting in a net torque of zero.

Some examples of objects that have a net torque of zero about the axis perpendicular to the page and extending from the center of the object are a sphere, a cube, a cylinder, and a cone.

Please provide the list of examples you'd like me to evaluate, and I'll be glad to help you determine which have a net torque of zero.

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Answer:

you're right; 13x, 14 - 7x, 12 + 4x, 15 - x

13, 7, 4, 1

The number of text messages sent by carla in a month is 34.

What is an algebric equation ?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

For given question,

Phone service = $35

For each text message = $0.50

Total bill = $52

Let x be the no. of total text messages.

Equation:  52 = 35 + 0.50x

Solving for x,

52 - 35 = 0.50x

17 / 0.50 = x

34 = x

The number of text messages sent by carla in a month is 34.

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Answer: The solutions to the equation 3(x-5)(2x+3) = 0 are x = 5 and x = -3/2.

Step-by-step explanation: So, we have:

3(x-5)(2x+3) = 0

Using the zero product property, we can set each factor equal to zero:

x - 5 = 0 or 2x + 3 = 0

Solving for x in each equation, we get:

x = 5 or x = -3/2

Therefore, the solutions to the equation 3(x-5)(2x+3) = 0 are x = 5 and x = -3/2.

Answer:

1/2

Step-by-step explanation:

Rise over run. The rise is 4 the run is 8. Simplify.

The magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

The value of the net electrostatic force on the 5.0-nC

charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0),

charge Q2 = −1.0 nC is at (0, 0.10 m), and

charge Q3 = 5.0 nC is at (0, 0) can be calculated as follows:

Given data,Charge Q1 = 6.0 nC is at (0.30 m, 0),

Charge Q2 = -1.0 nC is at (0, 0.10 m),

Charge Q3 = 5.0 nC is at (0, 0)

The formula to find out the force on the third charge Q3 is:

                      F = k * |Q1 * Q3| / r1^2 + k * |Q2 * Q3| / r2^2

Here, k = 8.99 × 10^9 N·m^2/C^2, Q1 = 6.0 nC, Q2 = -1.0 nC, Q3 = 5.0 nC

For the third charge Q3, the distance from Q1 is:

                                r1 = √(0.3^2 + 0^2) = 0.3 m

And the distance from Q2 is: r2 = √(0^2 + 0.1^2) = 0.1 m

Substituting all the given values in the formula:

                               F = 8.99 × 10^9 * [ (6.0 × 10^-9 * 5.0 × 10^-9) / 0.3^2 ] + 8.99 × 10^9 * [ (-1.0 × 10^-9 * 5.0 × 10^-9) / 0.1^2 ]F = 6.21 N

Therefore, the magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

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Answer:

1.9

Step-by-step explanation: This should be correct.

Answer:

1.9

Step-by-step explanation:

10,9,11,6,9 = 1.9

The length of the third side of the right triangular flower bed is 10 feet.

A right-angled triangle is a triangle with one of its interior angles equal to 90°. The side opposite to the right angle is the largest side and is referred to as the hypotenuse. Hypotenuse is always greater than any of the other two sides.

If two of the sides of the flower bed are 7 feet long each, then these are the sides adjacent to the right angle. We are to find the length of the third side, which is the hypotenuse, using the Pythagorean theorem.

Pythagorean Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the two other sides.

c^2 = a^2 + b^2

where a and b are the adjacent sides to the right angle

c is the hypotenuse

c^2 = 7^2 + 7^2

c^2 = 49 + 49

c^2 = 94

c = 9.899

Hence, he length of the third side of the right-angled triangular flower bed is 10 feet.

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