Find the coordinate point for C that would make ABCD a rhombus.

*tia

By fraction method, 55/16 pounds of rice Belle purchased.

In math, what is a fraction?

Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                                 Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

  = 2 3/4 * 5/4

   = 5/4 * 2 + 5/4 *  3/4

   = 5/2 + 5/4 * 3/4

  = 5/2 + 15/ 4 * 4

  = 5/2 + 15/16

  common denominator and write the numerators above common denominator   =   5 *8/16 + 15/16

         = 40/16 + 15/16

         = 40 + 15/16

          = 55/16

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Answer:

2

Step-by-step explanation:

2Y = 10

10 - 6 = 4

x = 2

4/2 = 2

Answer:

2

Step-by-step explanation:

Let's focus on the top part first, 2y-6 and we know y=5.

So 2(5) -6 is the equation, 2x5 is 10 and 10-6 is 4 so what we are left with is 4÷x we are also told that x is equal to 2. So 4÷2 is 2 and that's the final answer!

Hopefully this will help, have a great day!

Answer:

104 m^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w = 10*8 = 80

Then find the area of the triangle

A = 1/2 bh = 1/2 (8) * 6 = 24

Add the areas together

80+24 = 104 m^2

Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Answer:

177100

Step-by-step explanation:

I just used the combinations formula.

c(n,r) = (n over r) =  n over (r(n-r)

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

10 Inches

Hope it helps, have a fantastic day.

Step-by-step explanation:

The Circumference of a circle can be displayed by this formula:

\(C = 2\pi r\)

\(C\) is the circumference, and \(r\) is the radius.

So just plug in 31 for \(C\), and simplify:

\(31 = 2\pi r\)

Because the question is asking for the diameter, we only need to divide both sides by pi, as \(2r\) is the same thing as diameter.

\(9.87 = 2r\) (rounded to the nearest hundredth)

We can even rewrite \(2r\) as \(d\), which stands for diameter, to make things a little simpler.

\(9.87 = d\)

Now we just take 9.87, and round it to the nearest whole number, and we get 10. So your answer is 10 Inches.

Hope it helps, have a fantastic day.

Answer:

0.2296 = 22.96% probability that the width of the casing exceeds the width of the door by more than 0.25 in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

The width of a casing for a door is normally distributed with a mean of 24 in and a standard deviation of 0.14 in.

This means that \(\mu_{C} = 24, \sigma_{C} = 0.14\)

The width of a door is normally distributed with a mean of 23.87 in and a standard deviation of 0.08 in.

This means that \(\mu_{D} = 23.87, \sigma_{D} = 0.08\).

Find the probability that the width of the casing exceeds the width of the door by more than 0.25 in?

This is P(C - D > 0.25).

Distribution C - D:

The mean is:

\(\mu = \mu_{C} - \mu_{D} = 24 - 23.87 = 0.13\)

The standard deviation is:

\(\sigma = \sqrt{\sigma_{C}^2+\sigma_{D}^2} = \sqrt{0.14^2+0.08^2} = 0.1612\)

Probability:

This probability is 1 subtracted by the pvalue of Z when X = 0.25. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{0.25 - 0.13}{0.1612}\)

\(Z = 0.74\)

\(Z = 0.74\) has a pvalue of 0.7704

1 - 0.7704 = 0.2296

0.2296 = 22.96% probability that the width of the casing exceeds the width of the door by more than 0.25 in.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

\(\huge\boxed{\sf \{-6, -2\}}\)

Step-by-step explanation:

x² + 8x + 12 = 0

Using mid-term break formula.

x² + 6x + 2x + 12 = 0

x(x + 6) + 2(x + 6) = 0

(x + 6)(x + 2) = 0

By zero's method:

x + 6 = 0     OR   x + 2 = 0

So,

x = -6         OR     x = -2

\(\rule[225]{225}{2}\)

Answer:

5.75.

Step-by-step explanation:

The mean = (8+5+7+10+3+4+31+12)/ 8

= 80/8

= 10.

Now we calculate the difference of each value from the mean We take the absolute ( positive) differences

10 - 8 = 2

10 - 5 = 5

10 - 7 = 3

10 - 10 = 0

10-3 = 7

10 = 4 = 6

10 - 31 = 21

10 - 12 = 2

Sum of the differences = 46

and the mean deviation  is 46/8 = 5.75.

Answer:

I think the answer is For a basic oil change in Seattle you can expect to pay somewhere between $40 and $70

Step-by-step explanation:

I hope this helps. Have a good Day!

Answer:

37.50

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

first, you look at 7x, from the previous equation, you know that x=3, so you take 7x3=21 then you evaluate -3y. as you did with x on the last one you will look at the equation for y and see that it's -4. A negative times a negative is a positive, so -4x(-3)= 12. Then you add them all together, since 12 is a positive, the equation would now look like 21+12+2. After adding all three numbers together, you get 12.

Answer: Iberia used 75 out of area minutes in August.

Step-by-step explanation:

69.90 - 29.95 + 9.95

69.90 - 39.90

30

30/0.40

75

Step-by-step explanation:

Each roll has 6 possible outcomes, so two rolls have 36 possible sums.  We can make a table showing what these sums are:

\(\left[\begin{array}{ccccccc}&\textbf{1}&\textbf{2}&\textbf{3}&\textbf{4}&\textbf{5}&\textbf{6}\\\textbf{1}&2&3&4&5&6&7\\\textbf{2}&3&4&5&6&7&8\\\textbf{3}&4&5&6&7&8&9\\\textbf{4}&5&6&7&8&9&10\\\textbf{5}&6&7&8&9&10&11\\\textbf{6}&7&8&9&10&11&12\end{array}\right]\)

Of the 36 sums, 10 are greater than 8, and 18 are odd.

P(A) = 10/36 = 5/18

P(B) = 18/36 = 1/2

Answer:

Top right

Step-by-step explanation:

Answer: The actual car length is 12ft.

Step-by-step explanation:

Actual car length = 3cm x 4ft/cm = 12ft

For the system of the equations having no solution.

The coefficients are the same and the constants are different.

Thus the correct answer is option B.



Answer: y>-2/6+2

Step-by-step explanation:

We know it's greater then so we just need to find the line. Let's look at the Slope, since 0,2 is greater than -6,4 we start there. The y of 0,2 is 2 so we subtract 4 from 2 which is -2 and now we subtract -6 from 0 which is 6 so now we have -2/6 and the intercept is 2 so we now have y=mx+b which is the line in black: y=-2/6+2. But it is greater than so its y>-2/6+2

To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.

A relation represents a function when each input value is mapped to a single output value.

In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.

The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.

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The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ is option B

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

examples of these rules are

The problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent

The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal

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Answer:

13 days

Step-by-step explanation:

She starts with 3

She gets 2 for each year with the company

She has been their 5 years

5*2 = 10

10+3 = 13

The total number of paid vacation days after working for 5 years is 13 days.

The equation having the highest power of its variable as 1 is called a linear equation.

Let the total number of paid vacations be y.

And the number of years Lisa worked for the company be x.

The fixed paid vacation is for 3 days.

The number of additional paid vacation days for each additional year is 2 days.

So, the linear equation formed is,

y = 2x + 3 ... (i)

Put the value of x = 5 in the equation (i),

y = 2(5) + 3

y = 10 + 3

y = 13

Hence, the number of paid vacation days earned by Lisa after 5 years of working is 13 days.

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The formula of the volume of the rectangular prism is,

V = l * w * h

The formula of the surface area of the rectangular prism is,

A = 2(lw + wh + lh)

the surface area of a box is 72 sq.ft.

For a rectangular prism with length(l), width(w) and height(h),

The formula of the volume of the rectangular prism is,

V = l * w * h

The formula of the surface area of the rectangular prism is,

A = 2(lw + wh + lh)

For a rectangular box with a length of 6 ft a width of 3 ft and a height of 2 ft,

here, l = 6 ft, w = 3 ft and h = 2 ft

using the formula for the surface area of a rectangular prism, the surface area of box would be,

A = 2(lw + wh + lh)

A = 2(6 * 3 + 3 * 2 + 6 * 2)

A = 2(18 + 6 + 12)

A = 2(36)

A = 72 sq.ft.

Therefore, the surface area of a box is 72 sq.ft.

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Answer:

The fox can run faster by a factor of 7 miles per hour

Step-by-step explanation:

If the fox runs 21 miles in half of an hour, that means that by multiplying the fraction 21miles/0.5hours by 2/2 you can find that the fox runs 42 miles per hour, 7 miles per hour faster than the rabbit.

Answer:

The Fox, by 7 Miles per hour

Step-by-step explanation:

The rabbit runs 35 Miles per hour

The Fox runs 21 in half an hour

1 hour - 30 minutes = 30 minutes meaning we have to double the foxes miles

21 x 2 = 42

42>32

To find out by how much do 42-32 and we get 7 Miles per hour.

The distance from the wall was the bullet fired if the gun was held 1.1 m above the floor will be 4.25 meters.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

A projectile is tracked down and implanted in the mass of a room 2.2 m over the floor. The shot entered the wall going vertically at a point of 15°.

Because the gaps are so low and the bullet's speed is so high, we may treat the bullet's route as a straight line.

The distance is given as,

⇒ (2.2 - 1.1) / sin 15°

⇒ 1.1 / sin 15°

⇒ 4.25 meters

The distance from the wall was the bullet fired if the gun was held 1.1 m above the floor will be 4.25 meters.

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Option A is correct, the two triangles are similar because corresponding sides are in proportion and  angles are congruent .

The two triangles are ABC and DEF.

ABC and DEF are similar triangles.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The corresponding sides are in proportional.

Let us compare the corresponding side and angle.

AB=EF, BC=FD, AC=ED and

angle C is equal to angle D.

Hence, the two triangles are similar because corresponding sides are in proportion and  angles are congruent .

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Answer + Step-by-step explanation:

\(\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5\)

\(\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}\)

_______________________

\((4^8)^3 = a^{8 \times 3}=a^{24}\)

\(\text{used property :} \ \ \ (a^n)^m = a^{n \times m}\)

_______________________

\(10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}\)

_______________________

15⁶ × 15³ = 15⁶⁺³ = 15⁹

_______________________

Recall : If a ≠0  ⇒ a⁰ = 1

Then

Since 6⁸ ≠ 0  ⇒ (6⁸)⁰ = 1