2. -3x-y = 2y = 112345-1-2-3-4-512345-1-2-3-4-5Clear All Draw: LineDotSolution =

Answer:

A

Step-by-step explanation:

Answer:

x=17 and y=13

Step-by-step explanation:

let y the first number and x the second number.

y+4=x

5y=14+(3x)

two equations with two unknowns

x=17 and y=13

Answer:

-47

Step-by-step explanation:

I simplified it and I hope its correct :)

Answer:

675

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(5t - 3) · (3t + 7)

t = 6

Step 2: Evaluate

Answer:

(5t -3)(3t+7) (im multiplying them together, if that's not what the questions asking lmk. but anyway, put them next to eachother and then plug in 6 for t)

(5(6) -3)(3(6)+7) (multiply where possible)

(30 -3)(18+7) (use the distributive property/foil to multiply the two)

540 +210 -54 -21 (add the positive numbers and subtract the negative )

750 - 75 (subtract)

675 (the answer)

Step-by-step explanation:

I hope this helps :)

Answer:

33

Step-by-step explanation:

Total no. of observation given = 25, 29, x

No. of observations = 3

Given, average of the observations = 29

Therefore, by the problem,

\( = > \frac{25 + 29 + x}{3} = 29\)

=> 25 + 29 + x = 29 × 3

=> 54 + x = 87

=> x = 87 - 54

=> x = 33 (Ans)

The 6th term of the geometric sequence 27/16, -9/8, 3/4..... is - 2/9

The correct answer option is option B

Given: 27/16, -9/8, 3/4.....

nth term = ar^(n-1)

Where,

First term, a = 27/16

Common ratio, r = -9/8 ÷ 27/16

= -9/8 × 16/27

= -2/3

6th term = ar^(n-1)

= 27/16 × -2/3^(6-1)

= 27/16 × -2/3^5

= 27/16 × -32/243

= - 2/9

In conclusion, negative two ninths is the 6th term of the geometric sequence.

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Answer:

28 degrees

Step-by-step explanation:

We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.

By combining like terms, we get 6x + 12 = 180.

Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.

Answer:

Step-by-step explanation:

add both the equations then you will get

3x^3-x^2+2

but in the standard form there should be an x^1 term or x term since there is no term like that we write it as 0x

so the equation will be

3x^3-x^2+0x+2

Given,

A glass block window is made of two different-sized glass squares.

The window has side lengths of 40 inches. The large glass squares have side lengths of 10 inches.

40 × 10 = 400

Answer:B

Step-by-step explanation:

The length of AD is 1 unit.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let us solve the question

In Δ ABC

∠B is a right angle

BD is perpendicular to the hypotenuse AC

(AB)² = AD × AC ⇒ rule

AB = 3 units

AC = 9 units

Let AD = x

Substitute them in the rule above

(3)² = x × 9

9 = 9x

Divide both sides by 9

x=1

Hence, the length of AD is 1 unit.

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Question

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 3 and AC = 9, what is the length of AD? (Note: the figure is not drawn to scale.)

Based on the variable costs and contribution margin, the unit sales price is $80 and the unit contribution margin is $32.

The sales volume in units needed to earn $600,000 is 43,750 units and the amount in dollar sales needed is $3,500,000.

The unit sales price can be found as:

= Variable cost / (1 - contribution margin ratio)

= 48 / (1 - 40%)

= $80

Unit contribution margin is:
= Selling price x Contribution margin ratio

= 80 x 40%
= $32

In units, this amount is:
= (Fixed cost + income required) / Contribution margin

= (800,000 + 600,000) / 32

= 43,750 units

In dollar terms the amount needed is:

= Units needed x selling price

= 43,750 x 80

= $3,500,000

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Hey There!!

The answer to this is: A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true?" Line BC is parallel to line AD because their slopes is equal i.e. (0 - 0) / (7 - 2) = (5 - 5) / (8 - 3) which gives 0 / 5 = 0 / 5 giving that 0 = 0. We check whether line AB is parallel to line CD. Slope of line AB is given by (0 - 5) / (2 - 3) = -5 / -1 = 5. Slope of line CD is given by (5 - 0) / (8 - 7) = 5 / 1 = 5 We have been able to prove that the opposite sides of the quadrilateral are parallel which means that the quadrilateral is not a trapezoid. Next we check whether the length of the sides are equal. Length of line AB is given by sqrt[(0 - 5)^2 + (2 - 3)^2] = sqrt[(-5)^2 + (-1)^2] = sqrt(25 + 1) = sqrt(26) Length of line BC is given by sqrt[(0 - 0)^2 + (7 - 2)^2] = sqrt[0^2 + 5^2] = sqrt(25) = 5 Length of line CD is given by sqrt[(5 - 0)^2 + (8 - 7)^2] = sqrt[5^2 + 1^2] = sqrt(25 + 1) = sqrt(26) Length of line DA is given by sqrt[(5 - 5)^2 + (8 - 3)^2] = sqrt[0^2 + 5^2] = sqrt(25) = 5 Thus, the length of the sides of the quadrilateral are not equal but opposite sides are equal which means that the quadrilateral is not a rhombus. Finally, we check whether adjacent lines are perpendicular. Recall the for perpendicular lines, the product of their slopes is equal to -1. Slope of line AB = 5 while slope of line BC = 0. The product of their slopes = 5 x 0 = 0 which is not -1, thus the adjacent sides of the quadrilateral are not perpendicular which means that the quadrilateral is not a rectangle. Therefore, ABCD is a parallelogram with non-perpendicular adjacent sides. Thus, For (option A).

Hope It Helped!~ ♡

ItsNobody~ ☆

Answer:

A. ABCD is a parallelogram with non-perpendicular adjacent sides.

Hope this helps!

Step-by-step explanation:

The volume of the shape is 490cm³

A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.

The base of this prism is rectangular. The volume of a prism is expressed as;

V = base area × height

base area = 7 × 10 = 70cm²

height = 7cm

the volume of the shape = 70× 7 = 490cm²

therefore the volume of the shape is 490cm³.

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Answer:

15 US dollars

Step-by-step explanation:

Answer:

The answer is 60 because 5 times positive 12 is 60

Answer:

60

Step-by-step explanation:

The diameter is 3.75 cm

Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.

Given that Joey's aircraft speed: 188 mph

Wind speed: 60 mph

Wind direction: 150 degrees (measured clockwise from due north)

We can consider the wind as a vector, which has both magnitude (speed) and direction.

The wind vector can be represented as follows:

Wind vector = 60 mph at 150 degrees

We convert the wind direction from degrees to a compass bearing.

Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.

Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)

Wind vector = 60 mph at 210 degrees

To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.

Converting the wind vector into its x and y components:

Wind vector (x component) = 60 mph × cos(210 degrees)

= -48.98 mph (negative because it opposes the aircraft's motion)

Wind vector (y component) = 60 mph×sin(210 degrees)

= -31.18 mph (negative because it opposes the aircraft's motion)

Now, we can add the x and y components of the two vectors to find the resulting velocity vector:

Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph

Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph

Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)

= 143.59 mph

Direction = arctan((-31.18 mph) / 139.02 mph)

= -12.80 degrees

The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.

The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.

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Heyo xD! Its easy since we have been asked to find out the total height of the stack which will be equal to the sum of height of each box. Thus, we can easily add them up and get our answer.

Given :-

To Find :-

Solution :-

Height of the stack,

=> 6 ft. 6 inches + 4 ft. 11 inches + 5 ft. 8 inches

=> 15 ft. 15 inches

And we know that 12 inches = 1 ft.

Thus, 15 inches = 1 ft. 3 inches

Thus,

=> 15ft. + 1 ft. 3 inches

=> 16 ft. 3 inches

Thus, the height of the stack is 16 ft. 3 inches.

Answer:

17 feet and 1 inch

Step-by-step explanation:

6 feet and 6 inches + 4 feet and 11 inches equals  10 feet and 17 inches.

10 feet and 17 inches + 5 feet and 8 inches equals 15 feet and 25 inches.

When converted the answer is 17 feet and 1 inch. This is so because 25 divided by 12 equals 2 remainder 1 . 2 feet plus 15 feet equals 17 feet and the remainder is 1 which is 1 inch.

So, the answer is 17 feet and 1 inch.

Answer:

$29.40

Step-by-step explanation:

4 * 2.70 + 6* 3.10= 10.8+18.6=29.4

Answer:

For k = 1:

=NEGBINOMDIST(0, 1, 0.666) = 0.6660

For k = 2:

=NEGBINOMDIST(1, 1, 0.666) = 0.2224

For k = 3:

=NEGBINOMDIST(2, 1, 0.666) = 0.0743

For k = 4:

=NEGBINOMDIST(3, 1, 0.666) = 0.0248

For k = 5:

=NEGBINOMDIST(4, 1, 0.666) = 0.0083

For k = 6:

=NEGBINOMDIST(5, 1, 0.666) = 0.0028

Step-by-step explanation:

The probability of obtaining a defective 10-year old widget is 66.6%

p = 66.6% = 0.666

The probability of obtaining a non-defective 10-year old widget is

q = 1 - 0.666 = 0.334

The random variable will be the number of items that must be tested before finding the first defective 10-year old widget.

The geometric distribution is given by

\($P(X = k) = p \times q^{k - 1}$\)

Solving manually:

For k = 1:

\(P(X = 1) = 0.666 \times 0.334^{1 - 1} = 0.666 \times 0.334^{0} = 0.666\)

For k = 2:

\(P(X = 2) = 0.666 \times 0.334^{2 - 1} = 0.666 \times 0.334^{1} = 0.2224\)

For k = 3:

\(P(X = 3) = 0.666 \times 0.334^{3 - 1} = 0.666 \times 0.334^{2} = 0.0743\)

For k = 4:

\(P(X = 4) = 0.666 \times 0.334^{4 - 1} = 0.666 \times 0.334^{3} = 0.0248\)

For k = 5:

\(P(X = 5) = 0.666 \times 0.334^{5 - 1} = 0.666 \times 0.334^{4} = 0.0083\)

For k = 6:

\(P(X = 6) = 0.666 \times 0.334^{6 - 1} = 0.666 \times 0.334^{5} = 0.0028\)

Using Excel function:

NEGBINOMDIST(number_f, number_s, probability_s)

Where

number_f = k - 1 failures

number_s = no. of successes

probability_s = the probability of success

For the geometric distribution, let number_s = 1

For k = 1:

=NEGBINOMDIST(0, 1, 0.666) = 0.6660

For k = 2:

=NEGBINOMDIST(1, 1, 0.666) = 0.2224

For k = 3:

=NEGBINOMDIST(2, 1, 0.666) = 0.0743

For k = 4:

=NEGBINOMDIST(3, 1, 0.666) = 0.0248

For k = 5:

=NEGBINOMDIST(4, 1, 0.666) = 0.0083

For k = 6:

=NEGBINOMDIST(5, 1, 0.666) = 0.0028

As you can notice solving manually and using Excel yields the same results.

Reason:

c = Craig's score

c+12 = twelve more than Craig's score

c+12 = 70 because the key term "is" translates to "equals". As an example, saying "x is 5" means "x = 5".

This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.

Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.

Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.

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You have the right one selected.

The answer is 2:1

To find this take each side of ABC and its corresponding side on DEF, then simplify. You can treat ratios just like fractions, so simplify them in the same way.

20:10 becomes 2:1

12:6 becomes 2:1

16:8 becomes 2:1

Answer:

209/1040

Step-by-step explanation:

= 20.9/1040

= 209/1040  /  0.200961  

The value of x in the function r(x) = x - 3/x-4 is equal is 3.

To solve this problem, all that is required from us is simply substitute the values and solve for the value of x.

Data;

A function from a set A to a set B assigns to each element of A exactly one element of B. The set A is usually the domain of the function while the set B is the codomain of the function.

Given that the function R(x) is

\(R(x) = \frac{x-3}{x-4}\)

And also, R(x) is equal to 0.

\(R(x) = \frac{x-3}{x-4}\\ 0= \frac{x-3}{x-4} \\0(x-4) = x - 3\\0 = x- 3\\x = 3\)

The value of x in the function is 3.

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Answer:

1.≤

2.≤

3.≤

4.≤

5.≤

6.≤

Step-by-step explanation:

di po ko sure kung tama po yan

The set builder notation of the solution inequality represented on the number line is; {x: 3< x <=5}.

It follows from the task content that at point positive 3, there's an open circle which signifies that the number 3 is less than the solution.

And since the number line is shaded from positive 3 to 5, it follows that the maximum value in the solution set is 5.

The representation is therefore; {x: 3< x <=5}.

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On the number line, the solution inequality is represented by the notation x: 3=5, which is the set builder notation of the inequality.

This is further explained below.

Given the information provided in the job, it is logical to conclude that at point positive 3, there will be an open circle. This will indicate that the number 3 will be lower than the answer.

And since the shading on the number line goes from positive 3 to 5, it follows that the highest value that can be found in the set of solutions is 5.

As a result, the representation is written as:

"x: 3 x = 5."

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Answer:

are you looking for a mixed number if so its 2 4/5

Step-by-step explanation: