- ay + 4bx - b; a = -1, b = 2, x = 5, y = -6
- ay + 4bx - b = (Type an integer or a decimal.)
h

Answer:

5

Step-by-step explanation:

23-8 = 15

15/3 = 5

5x3 = 15 +8 = 23

The answer is 5

I got you bro

Answer:

-10.7

Step-by-step explanation:

tThe answer is -10.7. What you do is 3/5+7/10 then, you subtract 12 which gives your the answer

Answer:

6 months

Step-by-step explanation:

We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.

Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.

The equation representing the situation is:

$150 + $80n = $630

Now, let's solve for "n":

$80n = $630 - $150

$80n = $480

n = $480 / $80

n = 6

Therefore, it will take Hatif 6 months to reach $630 in his account.

Answer: supplement <17

Step-by-step explanation:

1. 17 is greater

2. supplement is smaller

Answer:

3.5

Step-by-step explanation:

because 7÷4 is 3.5 because seven division of 4 is three point five

Answer:

Use Trigonometric formulae to simplify expressions

Step-by-step explanation:

Re-order to group the x and y,

Sin(y) / Sin(a+y) = x

to differentiate apply d/dx to both sides

\(\frac{d}{dx}\)Sin(y) / Sin(a+y) = \(\frac{d}{dx}\)x

use division rule on left side which will give

\(\frac{dy}{dx}\)Cos(y)Sin(a+y) - \(\frac{dy}{dx}\)Cos(a+y)Sin(y) / Sin²(a+y) = 1

Group them so dy/dx is on the left hand side:

\(\frac{dy}{dx}\) = Sin²(a+y) / Cos(y)Sin(a+y) - Cos(a+y)Sin(y)

Apply trigonometric sum formula to expand Sin(a+y) and Cos(a+y),

\(\frac{dy}{dx}\) =  Sin²(a+y) / Cos(y)[Sin(a)Cos(y) + Cos(a)Sin(y)] - Sin(y)[Cos(a)Cos(y) - Sin(a)Sin(y)]

Simplify it

\(\frac{dy}{dx}\) = Sin²(a+y) / (Cos²(y) + Sin²(y))(Sin(a))

\(\frac{dy}{dx}\) = Sin²(a+y) / (1)(Sin(a))

The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.

The percentage increase can be determined by finding the difference or the amount of increase in sales.

This difference is divided by the previous month's sales and multiplied by 100.

The total number of boxes of cookies Molly's Scout Troop sold last month = 148

The total number sold this month = 165

The increase = 17 (165 - 148)

Percentage increase = 11.5% (17 ÷ 148 x 100)

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Answer:

b

Step-by-step explanation:

The length of the longest side of AABC is 4 units, and the area of AABC is equal to the area of ADEF.

An angle is the figure formed by two rays or lines that share a common endpoint, called the vertex of the angle. The measure of an angle is usually given in degrees or radians and is determined by the amount of rotation between the two rays or lines. Angles are used in geometry and trigonometry to study shapes, distances, and other properties of objects.

Since AABC is similar to ADEF, the corresponding sides of the two triangles are proportional. Let the longest side of AABC be x. Then:

x/4 = 1/10 (since the ratio of the perimeters is 1:10)

Solving for x, we get:

x = 4/10 * 10 = 4

Therefore, the length of the longest side of AABC is 4 units.

Since the ratio of the areas of AABC to ADEF is 1:100, and we know that the longest side of ADEF measures 4, we can use the fact that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths:

Area of AABC / Area of ADEF =\((x/4)^2 = 1/100\)

Substituting x = 4, we get:

Area of AABC / Area of ADEF\(= (4/4)^2 = 1\)

So, the area of AABC is equal to the area of ADEF.

Therefore, The length of the longest side of AABC is 4 units, and the area of AABC is equal to the area of ADEF.

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Answer:

A) 75

Step-by-step explanation:

All 3 angles of any triangle add up to 180° so we can subtract all known angles from 180° to get the missing angle.

40°+65°=105°

180°-105°

75°

Answer: A

Step-by-step explanation:

The three angles in a triangle add to \(180^{\circ}\). Therefore, each angle measures \(\frac{180^{\circ}}{3}=60^{\circ}\).

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

  5/6 mile

Step-by-step explanation:

The formula for the area of a rectangle can be used with the given values to write an equation for the length of the farmland.

__

Here is the equation for the area of a rectangle.

  A = LW . . . . . area is the product of length and width

When we fill in the area and width, we have ...

  5/9 mi² = L(2/3 mi) . . . . . equation for the length of the farmland

Solving this equation gives ...

  L = (5/9)/(2/3) mi . . . . . . . . divide by the coefficient of L

  L = (5/9)/(6/9) mi = 5/6 mi . . . . . perform the division

The length of Sandra's farmland is 5/6 mile.

When P and Q are combined, they will be completely contained in the plane if P and Q are already inside the plane. PQ would therefore be totally in the aircraft.

A plane may contain a number of points. A plane is carrying P and Q. A two-dimensional figure that never ends, the plane. It implies that there is no end. It has a level surface. If we draw a line to join the two points P and Q, the line will also be in the same plane. since the plane never comes to an end.

Collinear points are a group of points that all lie on the same line.The right response to this question is that a segment is a finite portion of a line connecting two locations, including its two ends.Coplanar points are groups of at least four points that all lie on the same plane. Keep in mind that given any two points, they are always coplanar, as are given any three points.

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Answer:

Two brothers, Mark and Walter, each inherit $25000. Mark invests his inheritance in a savings account with an annual return of 2%, while Walter invests his inheritance in a CD paying 6% annually. How much more money than Mark does Walter have after 1 …

✓ 350 dollars

Step-by-step explanation:

Answer: $918.49

Step-by-step explanation: 135.26 + 108.23 = 243.49

90 * 5 = 450

90 * 2.5 = 225

243.49 + 450 + 225 = 918.49

Answer:

It’s B)n = 2(2)"

Step-by-step explanation:

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The value of x in the intersecting chords is determined as 5.

The value of x is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

46 = ¹/₂ ( arc 21x - 5  -  arc x + box)

you will need to substitute the value of the box (what is inside the box?), that is the only you can solve it.

Let's say the box = 3

46 = ¹/₂ ( arc 21x - 5  -  (arc x + 3)

46 = ¹/₂ (21x - 5 - x - 3)

2(46) = 20x - 8

92 = 20x - 8

20x = 100

x = 100/20

x = 5

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Answer:

a) the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly is 0.4013

b) the probability that at least one of 40 successive points indicates a problem when in fact the process is operating correctly is 0.8715

Step-by-step explanation:

following how the independence multiplication rule works,

i.e finding p(A)' which is 1 - p(No problem) because what we need is an intersection not a union so;

a) 10 successive points

probability (problem) = 0.05

probability (No problem) = 0.95

required probability = 1 - [probability (No problem)]^10

= 1 - (0.95)^10

= 1 - 0.5987

= 0.4013

the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly is 0.4013

b) 40 successive points

probability (problem) = 0.05

probability (No problem) = 0.95

required probability = 1 - [probability (No problem)]^40

= 1 - (0.95)^40

= 1 - 0.1285

= 0.8715

the probability that at least one of 40 successive points indicates a problem when in fact the process is operating correctly is 0.8715

Answer:

I would also add you...but i just don't WANT to

Answer:

Based on the information given, we know that angles 3 and 4 are supplementary (they add up to 180 degrees) and angles 2 and 4 are vertical angles (they are congruent). Therefore, we can write:

m∠4 + m∠3 = 180 (since angles 3 and 4 are supplementary)

m∠4 = m∠2 (since angles 2 and 4 are vertical angles)

Substituting m∠4 = m∠2 into the first equation, we get:

m∠2 + m∠3 = 180

Now we can solve for m∠2 and m∠3:

m∠3 = 43 (given)

m∠2 = 180 - m∠3 = 180 - 43 = 137

Since angles 1 and 2 are also supplementary, we can find m∠1 by subtracting m∠2 from 180:

m∠1 = 180 - m∠2 = 180 - 137 = 43

Therefore, m∠1 = 43 degrees and m∠2 = 137 degrees.

The inclusion-exclusion principle says

P(A1 ∩ A2) = P(A1) + P(A2) - P(A1 ∪ A2)

We know the probability of intersection is 0, so

P(A1) + P(A2) = P(A1 ∪ A2)

which means A1 and A2 are indeed mutually exclusive.

Answer:c

Step-by-step explanation:

The equivalent expression is 1 + In 2 - In x.

Given:

\($\ln \left(\frac{2 e}{x}\right)$\)

Apply log rule:

\($$\log _{C}\left(\frac{a}{b}\right)=\log _{c}(a)-\log _{c}(b)$\)

\($&\ln \left(\frac{2 e}{x}\right)=\ln (2 e)-\ln (x) \\\)

= ln (2e) - ln (x)

Apply log rule:

\($\log _{c}(a b)=\log _{c}(a)+\log _{c}(b)$\)

ln (2e) = ln (2) + ln (e)

= ln (2) + ln (e) - ln (x)

Apply log rule:

\($\log _{a}(a)=1$\)

= ln (2)+1-ln (x)

Therefore, the correct answer is option C. 1 + In 2 - In x.

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Answer:

3 =x

Step-by-step explanation:

(segment piece) x (segment piece) =   (segment piece) x (segment piece)

3x(x+1) = 4x*x

Divide each side by x

3(x+1) = 4x

Distribute

3x+3 = 4x

Subtract 3x from each side

3x-3x +3 = 4x-3x

3 =x

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.

An equation is an expression that shows the relationship between two or more variables and numbers.

Inequality is an expression that shows the non equal comparison of two or more numbers and variables

The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.

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The graphs of f(x) and g(x) are transformed function from the function y = x^2 and the solution of the set of inequalities is (±1.581, -0.5)

The complete question is in the attached image (the first graph)

From the graph, we have:

f(x) = x^2 - 3 and g(x) = -x^2 + 2

To derive y ≤  x^2 - 3, we simply change the equality sign in the function f(x) to less than or equal to.

To derive y > -x^2 + 2, we simply change the equality sign in the function g(x) to greater than

The inequalities of the graphs become

y ≤ x^2 - 3 and y > -x^2 + 2

From the graph of the above inequalities (see attachment 2), we can see that the curves of the inequalities intersect at (±1.581, -0.5)

Hence, the solution of the set of inequalities is (±1.581, -0.5)

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The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.

When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.

Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.

We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.

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The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.

To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.

Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.

Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.

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Answer:

3 dress pants and 3 jeans

Step-by-step explanation:

dress pants 3×60=180

jeans 3×50=150

$ 180+$150=$330

Answer:

3 of each type. (3 Dress pants, 3 Jeans.)

Step-by-step explanation:

Note: you probably shouldn't use this as an actual step-by-step explanation if you need one.

Let's make this into an algebra expression:

60x + 50y = 330

x = Dress pants ($60 each)

y = Jeans ($50 each)

We aren't gonna use this expression to solve it (since it's two separate variables), but we can use it to confirm if it's correct.

Now, I'm sure there's a proper way to do this, but there's a very cheeky way to do it as well if you're just doing simple questions like this (and need to do it quickly.)

First, let's check how many types of dress pants you can buy with $330.

330/60 = 5.5.

So 5, with some pocket change. However, not enough to buy some jeans. (60*5 + 50*1 = 350 =/= 330)

So, let's remove one of the dress pants. Now you have enough:

60*4 + 50*1 = 290 =/= 330

But it doesn't equal exactly to 330. So, let's add one pair of jeans:

60*4 + 50*2 = 340 =/= 330

You can see the pattern from here. Start from the most amount you can buy with one type, add one of the other, and if they don't equal to the budget, then remove one of the first type, and add one to the other. You should get the following:

60*3 + 50*3 = 330

(Again, someone should probably send a better explanation.)