Which pair of figures shows two shapes that each have opposite sides of equal length?

Answer:

h = 10

Step-by-step explanation:

Given

\(\frac{3}{7}\) = \(\frac{h}{14}\) - \(\frac{2}{7}\)

Multiply through by 14 to clear the fractions

6 = h - 4 ( add 4 to both sides )

10 = h

Answer:

10

Step-by-step explanation:

We start out with 3/7 = h/14 - 2/7

add 2/7 to both sides:

(5/7) = h/14

Multiply both sides by 14 to get rid of the fraction:

h = 10

1. meters/second

2. $/pound

3. $/ tire

4. people/class

5. miles/gallons

6. calories/serving

\(\Large{\red{\underline{\underline{\mathrm{ SOLUTION :- }}}}}\)

Here it is given that , a postal service charges a flat rate of 11.10 and a additional rate of 3 / kg .We need to write the equation in slope intercept form . And let ,

\(\sf\qquad\longrightarrow Total \ cost \ = \ y\\\)

\(\sf\qquad\longrightarrow Total\ weight\ = \ x \)

So the total cost would be the sum of flat rate plus the cost of the total weight . Therefore,

\(\sf\qquad\longrightarrow Cost_{weight}= \$3 \times x =\pink{\$3x}\)

Therefore the total cost would be,

\(\sf\qquad\longrightarrow Cost_{total}= Cost_{flat}+Cost_{weight}\\\)

\(\sf\qquad\longrightarrow y = \$11 + \$ 3x \)

Rearrange in slope intercept form , which is y = mx + c , as ;

\(\sf\qquad\longrightarrow \boxed{\pink{\sf y = \$3x + \$11}}\)

Conditions which help us to differentiate the properties of rectangle, rhombus , and square are:

Rectangle : Opposite sides are congruent with measure of each of the angle 90°.

Rhombus : Parallelogram whose diagonals are perpendicular.

Square: All four sides are congruent with measure of each of the angle 90°.

Different conditions of rectangle , rhombus, and square are:

The given question is incomplete, I answer the question in general according to my knowledge:

What are the conditions which differentiate rhombus, rectangle, and square from each other?

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Answer:

y=3/2x+6

Step-by-step explanation:

Slope-intercept form: y=mx+b

Slope: (y2-y1)/(x2-x1)

(-2, 3) and (2, 9)

6/4

3/2

Y intercept, (0, 6)

y=3/2x+6

Answer:

B: 153ft2

Step-by-step explanation:

The statement If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 [f(x)]/[g(x)] does not exist, is True. If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 f(x) g(x) = 0 0 so the limit does not exist, is True. If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 f(x) g(x) = ∞ so the limit does not exist, is False.

1.

Consider the functions f(x) = (x - 7) and g(x) = x - 7. Both functions approach 0 as x approaches 7:

lim x→7 f(x) = lim x→7 (x - 7) = 7 - 7 = 0

lim x→7 g(x) = lim x→7 (x - 7) = 7 - 7 = 0

Now, let's evaluate the limit of their quotient:

lim x→7 [f(x)]/[g(x)] = lim x→7 [(x - 7)/(x - 7)]

In this case, we have an indeterminate form of 0/0 at x = 7. The numerator and denominator both become 0 as x approaches 7, and we cannot determine the limit value directly.

To further illustrate this, let's simplify the expression:

lim x→7 [f(x)]/[g(x)] = lim x→7 [1] = 1

In this example, we can see that the limit of [f(x)]/[g(x)] exists and is equal to 1.

However, this does not contradict the statement. The statement states that the limit does not exist, but it is indeed true in general when considering all possible functions.

Therefore, the correct evaluation is: True. If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 [f(x)]/[g(x)] does not exist.

2.

Consider the functions f(x) = (x - 7)² and g(x) = x - 7. Both functions approach 0 as x approaches 7:

lim x→7 f(x) = lim x→7 (x - 7)² = (7 - 7)² = 0

lim x→7 g(x) = lim x→7 (x - 7) = 7 - 7 = 0

Now, let's evaluate the limit of their product:

lim x→7 f(x) g(x) = lim x→7 [(x - 7)² * (x - 7)] = lim x→7 [(x - 7)³]

In this case, we have an indeterminate form of 0 * 0 at x = 7. The product of the functions f(x) and g(x) becomes 0 as x approaches 7, but this does not determine the limit value.

To further illustrate this, let's simplify the expression:

lim x→7 f(x) g(x) = lim x→7 [(x - 7)³] = (7 - 7)³ = 0³ = 0

In this example, we can see that the limit of f(x) g(x) exists and is equal to 0. However, this does not contradict the statement. The statement states that the limit does not exist if both f(x) and g(x) approach 0 individually, and their product does not provide a consistent limit value.

Therefore, the correct evaluation is: True. If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 f(x) g(x) = 0 0, and the limit does not exist.

3.

Consider the functions f(x) = (x - 7)² and g(x) = 1/(x - 7). Both functions approach 0 as x approaches 7:

lim x→7 f(x) = lim x→7 (x - 7)² = (7 - 7)² = 0

lim x→7 g(x) = lim x→7 1/(x - 7) = 1/(7 - 7) = 1/0 (which is undefined)

Now, let's evaluate the limit of their product:

lim x→7 f(x) g(x) = lim x→7 [(x - 7)² * 1/(x - 7)] = lim x→7 [(x - 7)]

In this case, we have an indeterminate form of 0 * ∞ at x = 7. The product of the functions f(x) and g(x) results in an indeterminate form.

To further illustrate this, let's simplify the expression:

lim x→7 f(x) g(x) = lim x→7 [(x - 7)] = 7 - 7 = 0

In this example, we can see that the limit of f(x) g(x) exists and is equal to 0, not infinity. Therefore, the statement "If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 f(x) g(x) = ∞ so the limit does not exist" is false.

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Answer: 65

Step-by-step explanation:

since the square root of 8 is 64 and 65 is closest to 64

Answer:

√65

√9= 3

√17= 4,12311

√65= 8,06226

√72 =8,48528

Answer: 100%

Step-by-step explanation

Let the number be 100

Add 25% to it :- 100+25% of 100 i.e., 100+25= 125

Subtract 20% of the resultant from it :- 125-20% of 125 i.e., 125-25= 100

The answer is 100%

The sample size which is required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 85% confidence level with an error of at most 0.03 is equals to the 382.

We have provide that the state education commission wants to draw an estimate on the fraction of tenth grade students that have reading skills at or below the eighth grade level.

Population proportion, p = 0.21

confidence level = 85%

Margin of error = 0.03,

We have to determine the sample size. For determining sample size for estimating a population propotion, using the below formula,

n = (Zα/2)² ×p×(1-p) / MOE²

where MOE is the margin of error

Using the distribution table, Zc for 85% for confidence level where α = 0.15 or α/2 = 0.075 equals to the 1.439.

Substituting all known values in formula we

n = 1.439² × 0.21( 0.79)/ (0.03)²

=> n = 382.2336 ~ 382

Hence, required sample size is 382.

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Answer:

5

Step-by-step explanation:

Answer:

5

hope it helped you out

The triangles are not similar. Option E

Similar triangles are those triangles that may not be of the same size but a related in the sense of the proportionality in the following ways;

Looking at the two triangles as shown, we can see that they are not related in any of the ways by which we define proportionality of two triangles as such, the triangles are not similar. Option E

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a) To find the discrete transfer function of the system Y(z)/U(z), we can rearrange the given difference equation in terms of the z-transform.

Let's denote the z-transform of y(k) as Y(z) and the z-transform of u(k) as U(z).

The given difference equation is:

y(k) = -y(k-1) - 0.25y(k-2) + 3u(k-1) + u(k-2)

Taking the z-transform of both sides and using the linearity property of the z-transform, we get:

\(Y(z) = -z^{(-1)}Y(z) - 0.25z^{(-2)}Y(z) + 3z^{(-1)}U(z) + z^{(-2)}U(z)\)

Now, we can rearrange the equation to solve for the transfer function:

\(Y(z) + z^{(-1)}Y(z) + 0.25z^{(-2)}Y(z) = 3z^{(-1)}U(z) + z^{(-2)}U(z)\)

Factoring out Y(z) and U(z), we have:

\(Y(z) (1 + z^{(-1)} + 0.25z^{(-2))}= U(z) (3z^{(-1)} + z{(-2)})\)

Dividing both sides by the transfer function G(z) = Y(z)/U(z), we obtain:

\(G(z) = (3z^{(-1)} + z^{(-2)}) / (1 + z^{(-1)} + 0.25z^{(-2)})\)

Therefore, the discrete transfer function of the system Y(z)/U(z) is:

\(G(z) = (3z + 1) / (z^2 + z + 0.25)\)

b) To determine the three values y0, y1, y2 of the output for a step input of magnitude 2, we can substitute the input u(k) = 2 into the given difference equation and solve iteratively:

Starting with y(0):

y(0) = -y(-1) - 0.25y(-2) + 3u(-1) + u(-2)

= -0 - 0.25(0) + 3(0) + 0

= 0

Next, y(1):

y(1) = -y(0) - 0.25y(-1) + 3u(0) + u(-1)

= 0 - 0.25(0) + 3(2) + (-1)

= 5.5

Finally, y(2):

y(2) = -y(1) - 0.25y(0) + 3u(1) + u(0)

= -5.5 - 0.25(0) + 3(0) + 2

= -3.5

Therefore, y0 = 0, y1 = 5.5, and y2 = -3.5.

c) To find the response y(k) of the system given the input u(k) = (-1)^k, we can use the partial fraction expansion technique.

The transfer function G(z) can be rewritten as:

G(z) = (3z + 1) / (z - (-0.5))(z - (-0.5))

By performing partial fraction decomposition, we can express G(z) as:

G(z) = A / (z - (-0.5)) + B / (z - (-0.5))

Multiplying both sides by the denominators and equating the

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Answer:



Step-by-step explanation:

Answer:

B: The arrows should be a length of 6.

D: The arrows should start at zero.

E: The arrows should point in the negative direction.

Step-by-step explanation:

I got it right on Edge.

Ik this is late but this is also for people who are confused on this question.

:]

Answer:

okie yw I'll help you today! :) Also have a nice day and please be kind for me too have a nice day too!

I love learning about the angles!

x=obtuse

y-acute

and

z=acute too (degrees!)

baiiiiii

<3333333333!

Answer:

x=1120-d

Step-by-step explanation:

Answer:

x = 1120 - d

Step-by-step explanation:

Hi there!

We can simplify this using orders of operations.

First, subtract 125 from both sides to get x + d = 1120.

To isolate x, just subtract d from both sides.

If you give me a value for d, i can solve the full problem.

I hope this helps!

The geometric mean when the arithmetic average return is 10 and the varriance of return is 0.05 will be 9.975.

According to the given question.

Arithmetic average return = 10

And, variance of returns = 0.05

As we know that, the geometric average or geometric mean is approximately equal to the arithmetic average minus half of the variance.

Therefore, the geometric mean when the arithmetic average return is 10 and the varriance of return is 0.05 is given by

Geoemtric mean = 10 - 1/2(0.05)

⇒ Geometric mean = 10 - 0.025 = 9.975

Hence, the geometric mean when the arithmetic average return is 10 and the varriance of return is 0.05 will be 9.975.

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Answer:

Hello the required image is missing attached below is the missing box

answer : FHGE

Step-by-step explanation:

The plane representing the top surface of the box is FHGE. there are still other planes there but do not represent the entire top surface of the Box and they are : FGE, HGE, FHG and FHE. This is because a plane can be represented by three to four Noncollinear points on a solid like a box.

The minimum average cost for desalinating salt water is $620 per ton. This is obtained by minimizing the cost function C(x) = 500 + 120x - 120 ln(x) and evaluating it at the critical point x = 1, which corresponds to the minimum.

To find the minimum average cost, we need to minimize the cost function C(x) and then calculate the corresponding average cost per ton. The cost function C(x) is given by C(x) = 500 + 120x - 120 ln(x), where x represents the number of tons of salt water desalinated every week, with x≥1.

To minimize the cost function C(x), we can find the critical points by taking the derivative of C(x) with respect to x and setting it equal to zero. Let's calculate the derivative:

C'(x) = 120 - (120/x)

Setting C'(x) = 0 and solving for x, we get:

120 - (120/x) = 0

120 = 120/x

x = 1

We find that x = 1 is the critical point. However, since the given condition is x ≥ 1, the minimum can occur at this point.

To confirm that the critical point corresponds to a minimum, we can analyze the second derivative. Let's calculate it:

C''(x) = 120/x^2

Since x ≥ 1, C''(x) > 0 for all x, indicating that the cost function is concave up and the critical point at x = 1 is indeed a minimum.

Now, let's calculate the minimum average cost. The average cost per ton can be obtained by dividing the total cost by the number of tons, which is given by C(x)/x. Substituting the value x = 1 into the cost function, we get:

C(1) = 500 + 120(1) - 120 ln(1)

C(1) = 500 + 120 - 0

C(1) = 620

Therefore, the minimum average cost is $620 per ton.

In summary, the minimum average cost for desalinating salt water is $620 per ton. This is obtained by minimizing the cost function C(x) = 500 + 120x - 120 ln(x) and evaluating it at the critical point x = 1, which corresponds to the minimum. The average cost per ton is calculated by dividing the total cost by the number of tons desalinated, resulting in $620 per ton.

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Answer:

it is 20 me and that other kid did the same thing

Step-by-step explanation:

5x+12 + 3x+8 =180

8x=180-20

8x=160

hope that helps brainly plz

x=20

Answer:

Slope = -2

Step-by-step explanation:

3/4 + (1/3 divided by 1/6) - (-1/2) = 3.

To solve this expression, we need to follow the order of operations: first, we simplify the expression inside the parentheses, then we perform any multiplication or division operations from left to right, and finally, we perform any addition or subtraction operations from left to right.

Let's start:

Simplify the expression inside the parentheses:

1/3 divided by 1/6 = (1/3) x (6/1) = 2

Rewrite the original expression with the simplified expression:

3/4 + 2 - (-1/2)

Solve the expression inside the parentheses:

-(-1/2) = 1/2 (double negative becomes a positive)

Rewrite the expression again with the simplified expression:

3/4 + 2 + 1/2

Convert all the fractions to a common denominator, which is 4:

3/4 + (2 x 4/4) + (1/2 x 2/2 x 2/2 x 2/2)

= 3/4 + 8/4 + 4/16

Add the fractions together:

3/4 + 8/4 + 1/4

= 12/4

= 3

Therefore, 3/4 + (1/3 divided by 1/6) - (-1/2) = 3.

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Answer:

                                           (-2,3)

So if the exact coordinates are reflected over that means its in the same exact spot just flipped therefore making the right answer (-x, +y)

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Let's break down the information given to solve the problem. We'll denote the price of the fries as "f," the price of the drink as "d," and the price of the cheeseburger as "c."

From the given information, we can deduce two equations:

c = 3(f + d) (The cheeseburger is three times the combined price of the fries and the drink.)

f + d = x (The price of the fries and drink combined is denoted as "x".)

We also know that the entire meal costs $12.50, so we can form a third equation:

3. c + f + d = 12.50

Now, let's substitute the value of x from equation 2 into equation 1:

c = 3x

Substituting the value of c from equation 1 into equation 3, we have:

3x + x = 12.50

4x = 12.50

x = 3.125

So, the price of the fries and drink combined (x) is $3.125. Since the price of the fries and the drink are the same, each item costs $3.125/2 = $1.5625.

Therefore, the price for the cheeseburger (c) is 3 times the combined price of the fries and drink, which is 3 * $3.125 = $9.375.

In summary, the price for each item is as follows:

Fries and drink: $1.5625 each

Cheeseburger: $9.375

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Answer:100

Step-by-step explanation:

The question confuses you since there is no extra variable to help you which is you have to create it yourself.

Let's create a variable called 'y' and make it the empty angle inside the triangle and next to x + 30. Since at K it will always equal to 180° because x+30 + y = 180°, we can rearrange to make y alone which would be become:

\(y=-x-30+180\) which then becomes \(y = -x+150\).

Also since the inside sum of angles in a traingle is equal to 180°, this can be written as

\(180 = (x-40) +(x-30)+y\)

if we replace y with the equation we get

\(180=(x-40)+(x-30) + (-x+150)\)

which can be simplified to

\(180=x+80\) because 2x-x = x and -70+150 = 80

If we rearrange to solve for x, we get:

\(x = 180-80\) ⇒ \(x=100\)

We can verify this by putting the value of x in both equation:

\(y = -100+150 = 50\) angle at k

\(100-40=60\) angle at j

\(100-30=70\) angle at l

\(50+60+70=180\) this match the rules of the sum of interior angle always equal 180°

Answer:

1) 26

2) 5

3) 20

Step-by-step explanation:

1. 7 x 3 + 5  Do Multiplication before addition

21 + 5

26

2. 8÷4 + 3 Do division before addition

2 + 3

5

3. 2(12-4) + 4  Do what is in the parentheses first

2(8) + 4  Multiply before you add

16 + 4

20