3x2 - 4x + 2
a) cubic binomial
b) quartic trinomial
c) quadratic trinomial
d) quadratic binomial

36 to the nearest hundredth is just 36

To round 36 to the nearest hundredth consider the thousandths' value of 36, which is 0 and less than 5. Therefore, the hundredths' value of 36 remains 36

Answer:

Round 36 to the nearest tenth, Leaving only one number after the decimal point, Then you have come to the right post.

Step-by-step explanation:

Round off to nearest 10. Rounding every place-value of number. Round off a number to the nearest tens round off to the nearest multiple of ten.

A large number may be rounded off to the nearest 10.

Hope It Helps!

Answer:

Step-by-step explanation:

Area of the Shaded region = area of the Trapezoid - Area of the triangle

Area of the Trapezoid

b1 = 14

b2 = 26

h = 15

Area = (b1 + b2 ) * h / 2

Area = (14 + 26) * 15/2

Area = 40 * 15/2

Area = 300 in^2

Area of the triangle

Area = 1/2 b * h

b = 26

h = 15 - 6

h = 9

Area = 1/2 * 26 * 9

Area = 117 in^2

Area of the shaded region

Area of the shaded region = 300 - 117

Area of shaded region = 183

Answer:

Following are the response to these question:

Step-by-step explanation:

[tex]\to f(x)=x^3 \\\\ \to g(x)=200x^3\\\\[/tex]

[tex]\to \lim_{n \to \infty} \frac{f(x)}{g(x)} \\\\= \lim_{n \to \infty} \frac{x^3}{200x^3}\\\\= \frac{1}{200} \ \ (infity)\\\\\to f(x) \ \ and \ \ g(x)[/tex]  grows at the same rate.

9514 1404 393

Answer:

  f(1) = 173 = the amount remaining after 1 year

Step-by-step explanation:

The function definition tells you f(x) is the amount of the isotope remaining after x years. Then ...

  f(1) = 173 = the amount remaining after 1 year

__

(no units are given, so we don't know if that is 173 nanograms, or 173 truck loads)

Answer:

45.3 miles/h

Step-by-step explanation:

let 'x' be the speed of the car.

60 × 2/3 = 120/3 = 40  

30 × 1/5 = 151/5  

151/5 /40 = x / 60  

151 / 200 = x / 60

=> x = (151×60) / 200

=> x = 45.3

(hope this helps can i plz have brainlist :D hehe)

Hi there!

[tex]\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}[/tex]

We are given:

cos(7x)cos(4x) = -1 - sin(7x)sin(4x)

Begin by moving all terms with variables to one side:

cos(7x)cos(4x) + sin(7x)sin(4x) = -1

The corresponding trig identity is cos(A - B). Thus:

cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1

cos(3x) = -1

cos = -1 at  π, so:

3x = π

x = π/3

We can also find another solution. Let 3π = -1:

3x = 3π

x = π

Thus, solutions on [0, 2π) are π/3 and π.

Answer:

45

Step-by-step explanation:

9x10/2=45

Answer:

Theater C

Step-by-step explanation:

Theater A has 80 seats, 44 of which are taken. 44/80 can be simplified to 11/20, which is 0.55 in decimal form, and 55% in percent form.

Theater B has 70 seats, because 42+28 = 70. 42 of those 70 seats are taken. 42/70 is 60%

Theater C has 90 seats, and because 27 are empty, we can subtract 27 from 90, which leaves us at 63 seats are taken. 63/70 is 70%

70% is the biggest percentage, so Theater C has the greatest seats taken.

I hope this helps! :))

Answer:

the markup percentage is 66.67%

Step-by-step explanation:

The computation of the percent of markup based on cost is shown below:

= (Selling price - paid price) ÷ (paid price)

= ($15 - $9) ÷ ($9)

= 66.67%

By taking the difference of the selling price & paid price and then divided it by paid price we can get the percentage of markup

Hence, the markup percentage is 66.67%

  2

X - 4 = 0

X = +2

0

4

Answer:

Option c is correct

Step-by-step explanation:

Hope it helps✌

Answer:

9.4

3rd option

The boats are 9.4 units apart.

Answer:

7

Step-by-step explanation:

Answer:

345 times 0.03 = 10.35 but we cant have 0.35 of a person so it is 10 people

Step-by-step explanation:

Answer:

∠GHJ and ∠FEC

Step-by-step explanation:

Alternate exterior angles are two angles that lie on the outer part of the parallel lines but on different sides.

∠GHJ and ∠FEC lie on the outer parts of the parallel lines, but different sides.

∠GHJ is on the lower left side.

∠FEC is on the upper right side.

Answer:

D

Step-by-step explanation:

Answer:

x = 27.2

Step-by-step explanation:

Apply trigonometric function to solve for x.

Reference angle = 54°

Side length opposite to reference angle = 22

Hypotenuse = x

We would apply SOH:

Sin 54 = Opp/Hyp

Sin 54 = 22/x

x*sin 54 = 22

x = 22/sin 54

x = 27.1934955 ≈ 27.2 (nearest tenth)

Answer:

160pi

Step-by-step explanation:

the volume of a cylinder is found using the formula V=pi x r² x h. taking r=4 this means we have pi x 16 x10 =160pi

Answer:

C

Step-by-step explanation:

to find the zeros you look at what value you would fill in for x to make zero, so (x+3) would have a zero of -3 and (x-2) would have a zero of 2

Answer:

y = -3x + 8

Step-by-step explanation:

plug in the slope of -3 and the point (3, -1) into the equation: y = ax + b  to find b. (the slope of -3 = a)

=> -1 = 3(-3) + b

=> b = 8

plug in b= 8 & the slope of -3 into the equation: y = ax + b

=> y = -3x + 8

9514 1404 393

Answer:

  y = 6

Step-by-step explanation:

Let's call the marked angles A, B, C, clockwise from upper left.

Along the vertical transversal, we observe that A+90° and C are alternate exterior angles, so are congruent. This lets us find a value for x.

  A+90 = C

  4x +90 = 11x -8

  98 = 7x

  14 = x

Then angle A is ...

  A = 4x° = 4(14)° = 56°

__

Along the horizontal transversal, we observe that A and B are alternate exterior angles, so are congruent. This lets us find a value for y.

  A = B

  56° = (9y +2)°

  54 = 9y

  6 = y

The value of y is 6.

Answer:

The last one because all of those numbers are included in the table.

Answer:

i think the answer is 105.96

Answer:

QPN and RSU

Step-by-step explanation:

Answer:

(-1,-2)

Step-by-step explanation:

For a point (a,b) rotated 90° counterclockwise about the origin, it's new coordinates are (-b,a).

So since C is originally (-2,1), it's new coordinates are (-1,-2)

N is to the left of the zero which means it is a negative number.

P is the the right of zero which means it is a positive number.

A negative number is less than a positive number, so the answer would be:

The number with the least value is N

The number with the greatest value is P

Answer:

a) 0.1587 = 15.87% probability that a battery will break down during the warranty period.

b) The expected profit of the auto store on a battery is of $15.239.

c) The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

Step-by-step explanation:

Normal Probability Distribution:

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively.

This means that [tex]\mu = 40, \sigma = 16[/tex]

a. What is the probability that a battery will break down during the warranty period?

Two year warranty, that is, 24 months. This probability is the pvalue of Z when X = 24. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 40}{16}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587.

0.1587 = 15.87% probability that a battery will break down during the warranty period.

b. What is the expected profit of the auto store on a battery?

1 - 0.1587 = 0.8413 probability of a profit of $20.

0.1587 probability of a loss of $10. So

[tex]E = 0.8413*20 - 0.1587*10 = 15.239[/tex]

The expected profit of the auto store on a battery is of $15.239.

c. What is the expected monthly profit on batteries if the auto store sells an average of 500 batteries a month?

Multiplying the average for a battery by 500. So

15.239*500 = $7,619.50

The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

Answer:

d. f(x) = 4(x + 3)