b)
73cm
92cm
56 cm
What is the
the
area and perimeter

Answer:

the first step is find the amount of money you saved

Step-by-step explanation:

171.50-145.12=26.38

26.38 / 171.5 = .154

15.4%

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

A; 5/36

Step-by-step explanation:

ITS THE ONLY ONE THAT MALES SENSE THERE ARE 36 POSSIBLE OUTCOMES

Answer:

B. 1/12

Step-by-step explanation:

4+4=8

2+6=8

3+5=8

3 out of 36=1/12 simplified

The surface area of a cell phone screen is 117 cm².

What is unit conversion?

Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.

We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:

11700 mm² / (100 mm² / cm²) = 117 cm²

Rounding to the nearest whole number, we get 117 cm².

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Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

1. There are two performance obligations in a contract to buy a pair of SunBoots from Clarks Inc: Delivery of Sunboots and Discount Coupon.

2. The journal entry to record the revenue for the sale of 1,000 pairs of SunBoots when Clarks cannot estimate the standalone selling price of a pair of SunBoots sold without a coupon is as follows:

Debit Cash $70,000

Credit Sales Revenue $65,800

Credit Deferred Revenue from Discount Coupon $4,200

(To record the sale of 1,000 pairs of SunBoots, including the discount coupon.)

Performance obligations refer to distinct goods and services agreed to be provided in a contract between the two parties.

Performance obligations arise because each separate goods or services benefit the customer distinctly from others.

In accounting for the revenue or costs, efforts should be geared toward recognizing the activity as soon as they bestow or transfer economic benefits to the buyer.

Selling price per pair = $70

Discount coupon = 30%

Estimated percentage of customers who will utilize the coupon = 20%

The number of SunBoots sold = 1,000

Cash $70,000 Sales Revenue $65,800 Deferred Revenue from Discount Coupon $4,200 ($70,000 x 30% x 20%)

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Answer:

I forget about these theorems and such, but pretty sure this is the Hypotenuse - Leg congruence theorem.

Step-by-step explanation:

As the name infers, you need the length hypotenuse and the length of one leg of each triangle. This is because you can use Pythagorean to find the last side, turning it into SSS congruence theorem. You also need them both to be right triangles for pythag to work.

Answer:what 2 triangles

Step-by-step explanation:Happy new year btw

Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

Hey there!

The answer is no, they would not return to the original price of $200.

This is because when you decrease 200 by 20%, you get 160. Then, if you increase 160 by 20%, you get 192. This is because 20% of 200 and 20% of 160 is different.

Hope this helps! Have a great day, and good luck on your assignment!

Answer:

greater than what it was before

Step-by-step explanation:

Remember, a tornado usually causes significant structural damages to houses within its area of impact., and this requires running expenses to repair the damage.

Hence, since the term expenditure, also implies expenses; we can expect the total expenditure on housing after the tornado to be greater than what it was before the tornado since families would be paying for repairs.

Answer:

Theres 4 yards each play,

Step-by-step explanation:

Answer: \(y=\frac{1}{2}x+3\)

Step-by-step explanation:

We can solve this by using the point-slope form, which can help get the equation of a line given the slope of the line and a point on the line. Slope-intercept form is the form \(y=mx+b\), and we can convert from point-slope form to this with simple algebra.

The point-slope form is \(y-y_1=m(x-x_1)\), where m is the slope of the line, and \((x_1,y_1)\) is the point.

We know that the line is parallel to \(y=\frac{1}{2}x+2\), which means it will have the same slope. The slope of this line is \(\frac{1}{2}\), so the slope of any line parallel to it will also be \(\frac{1}{2}\).

\(y-5=\frac{1}{2}(x-4)\\y-5=\frac{1}{2}x-2\\y=\frac{1}{2}x+3\)

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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The amount of work done is Option A) 12 N/m

Work done is simply defined as the product of the magnitude of displacement, (d) and the component of the force that in the direction of displacement.

It measures energy transfer that occurs when an object is moved to a distance by an external force which is applied in the direction of the displacement.

Work done on a body is equivalent  to the increase in the energy of the body, because it transfers energy to the body.

The formula for work done is;

W = fd

Where, 'f' is the applied force and d is the distance

Substitute the values

Work done = 6(2)

Work done = 12 N/m

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Answer:

51

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

You plug in -8 for x, which gives you -8/4 which equals -2

Answer:

C

Step-by-step explanation:

Because I'm smart.

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

Answer:

AC= 6.81 (Letter C)

Step-by-step explanation:

\(sin=\frac{opposite}{hypotenuse} \\sin27=\frac{AC}{15} \\\\15sin27= AC\\AC=(15)(0.4539904997)\\AC= 6.809857496\\AC=6.81\)

The linear function is of:

P(t) = 3265t + 34687.

Using the linear function, the estimate for 2016 is of:

54,277.

The exponential function is of:

P(t) = 34687(1.0941)^t.

Using the exponential function, the estimate for 2016 is of:

59,499.

The linear function is defined as follows:

P(t) = mt + b.

The coefficients of the function are given as follows:

In the context of this problem, these parameters are given as follows:

Hence the function is:

P(t) = 3265t + 34687.

2016 is 6 years after 2010, hence the estimate is given as follows:

P(6) = 3265(6) + 34687 = 54,277.

The exponential function is defined as follows:

P(t) = ab^t.

In which the coefficients are given as follows:

Hence the parameters are given as follows:

Hence the function is of:

P(t) = 34687(1.0941)^t.

Then the estimate for the year of 2016 is of:

P(6) = 34687(1.0941)^6 = 59,499.

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Juliet will earn the same amount of money whether she chooses a monthly salary of ​$1900 from the company or a base salary of ​$1800 plus a ​5% commission on furniture sales if her sales amount to $2000.

To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:

1800 + 0.05x = 1900

where x is the amount of furniture sales in dollars.

Simplifying and solving for x, we get:

0.05x = 100

x = 2000

If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.

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Using the sample data to test the hypothesis, we have that:

77% of the sample of 1176 adults rated themselves as above average drivers, that is:

\(0.77(1176) = 906\).

Thus, the actual number of respondents who rated themselves as above average drivers is 906.

At the null hypothesis, we test if the proportion is \(\displaystyle \frac{7}{10} = 0.7\), that is:

\(H_0: p = 0.7\)

At the alternative hypothesis, we test if the proportion is greater than 70%, that is:

\(H_1: p \geq 0.7\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

In this problem, the parameters are \(\overline{p} = 0.77, p = 0.7, n = 1176\).

Thus, the value of the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.77 - 0.7}{\sqrt{\frac{0.7(0.3)}{1176}}}\)

\(z = 5.24\)

The p-value of the test is the probability of finding a sample proportion above 0.77, which is 1 subtracted by the p-value of z = 5.24.

Looking at the z-table, z = 5.24 has a p-value of 1.

1 - 1 = 0.

The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.

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Answer:

  4) a > b·sin(A) -- triangle exists

  5) a > b·sin(A) -- triangle exists

Step-by-step explanation:

The triangle will exist when the missing angle value can be computed using the Law of Sines. That tells you ...

  sin(B)/b = sin(A)/a

  sin(B) = b·sin(A)/a

In order for the triangle to exist, we must have ...

  1 ≥ sin(B)

  1 ≥ b·sin(A)/a

  a ≥ b·sin(A) . . . . . . . always true if a > b

__

  a ? b·sin(A)

  17 > 13·sin(63°) . . . . true (no calculator needed) triangle exists

__

  a ? b·sin(A)

  24 > 7·sin(120°) . . . . true (no calculator needed) triangle exists

_____

Additional comment

In general if b > a and the triangle exists, there will be two possible triangles with the given dimensions.

The only rational numbers that will give a right angle for B are ...

  a=1, b=2, A=30° . . . . . and any multiples of these side lengths

Answer:

c(3a) = 2(3a)^2 - 4(3a) + 3 = 18a^2 - 12a + 3.

Step-by-step explanation:

c(3a) = 18a^2 - 12a + 3

Note: this is the simplified form of the expression.

The solution to the equation 3(4x-10) = 2(3x-30) is x = -5.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

Let's solve for x:

3(4x - 10) = 2(3x - 30)

First, we can simplify both sides by distributing the coefficients:

12x - 30 = 6x - 60

Next, we'll move all the x terms to one side of the equation and the constants to the other side:

12x - 6x = -60 + 30

Simplifying further:

6x = -30

Finally, we can solve for x by dividing both sides by 6:

x = -5

Therefore, the solution to the equation 3(4x-10) = 2(3x-30) is x = -5.

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Answer:

Distributive Property

Step-by-step explanation:

It looks like you are multiplying the 6 to both the 3 and 8.

The scale factor and the value of x for each figure is given as follows:

A) Scale factor of 1/3, x = 7 m.

B) Scale factor 0.4747, x = 4.5 in.

For Figure A, we have that the ratio between the areas is given as follows:

510/4590 = 1/9.

As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:

1/3.

Then the value of x is obtained as follows:

x = 21 x 1/3

x = 7 m.

For Figure B, we have that the ratio between the areas is given as follows:

16/71 = 0.22535.

The scale factor is then the square root of 0.22535, which is given as follows:

0.4747.

Then the value of x is given as follows:

x = 9.5 x 0.4747

x = 4.5 in.

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