Find the tan θ when sin θ= -cos θ and θ is in quadrant IV

Answers

Answer 1

Answer:

Step-by-step explanation:

sin θ= - cos θ

if :    cos θ  ≠  0  

you have :   tan θ = -1

 tan θ = - tan π/4

    tan θ = tan(- π/4 )

θ = - π/4 +kπ       k ∈ Z  

calculate: k   when θ is in quadrant IV :  3π /2 ≤ θ ≤2π

3π /2 ≤  - π/4 +kπ ≤2π

add π/4:         3π /2 + π/4 ≤  - π/4 +kπ+π/4  ≤2π +π/4

                     7π/4 ≤ kπ  ≤9π/4

                   7/4 ≤ k ≤9/4

                  1.75 ≤ k ≤ 2.25

 k ∈ Z  : k =2

so :  θ = - π/4 +2π

     θ = 7π/4

θ = 7(180°)/4 = 315°


Related Questions

Please help ASAP

this table shows how many students from high schools attended a foot ball game.

A student is randomly selected.

what is the probability that a student attended the game, given that the student is from North Beach? Round your answer to two decimal places.

Answers

In total, there are 200 students from North Beach.

Of those 200 students, 110 attended the game.

Because it is only asking for the probability that a student from North Beach attended, the answer would be 110 / 200, or 0.55.

Therefore, the answer would be C.

Hope this helps! :)

Answer:

0.314

Step-by-step explanation:

Given:

total number of students=350

total number of students that attented= 170

students that attended from North beach =110

probability that a student attended the game, given that the student is from North Beach= 110/350

                    =0.314 !

find the absolute error of the measurement 10 meters. explain its meaning

Answers

Answer:

.5 m

Step-by-step explanation:

You can use maximum possible error to calculate absolute error

Maximum possible error of is half the unit of measure

This means it is ±0.5 meters

In this case, you find the place value the measurement 10 meters is rounded to .This measurement was measured to the nearest meter, thus the measuring unit is 1 meter.

Here you use the maximum possible error as the absolute error.

This means the measurement is 10 ± .5

Betsy can clean a/b of the house in an hour. How long will it take her to clean the whole house?

Answers

Answer:

[tex]b/a\ hours[/tex]

Step-by-step explanation:

we know that

Betsy can clean a/b of the house in an hour

The whole house (100%) correspond to the number 1

so

using proportion

Find out how long will it take her to clean the whole house

[tex]\frac{(a/b)}{1}=\frac{1}{x} \\ \\x=1/(a/b)\\ \\x=b/a\ hours[/tex]

6. The sum of 3 consecutive odd integers is 87. Find the equation used to solve this
problem. Find the three integers.
An +n + 2 +n +4-87:
n-27, n + 2 - 29, n + 4- 31
B
n
+n +1 +n + 2 - 87:
n=28, n + 1 = 29, n + 2 = 30
Cn +n +1+n + 2 = 87;
n = 29, n + 1 = 30. n + 2 = 31
Dn+n + 2 +n + 4-87;
n = 29,0 + 2 = 31, n + 4 = 33

Answers

Answer:

A

n=27, n+2=29, n+4=31

The correct option is A: n + n + 2 + n + 4 = 87; n -27, n + 2 - 29, n + 4 - 31.

Let's denote the three consecutive odd integers as n, n + 2, and n + 4. The sum of these integers is given as 87.

The correct equation to represent this situation is:

n + (n + 2) + (n + 4) = 87

Now let's solve for n:

3n + 6 = 87

Subtract 6 from both sides:

3n = 81

Divide both sides by 3:

n = 27

n + (n + 2) + (n + 4) = 87

27 + 29 + 31 = 87

The three consecutive odd integers are 27, 29, and 31.

F = {(-1, 2), (3, 2), (4, 2), (0, 2)} Is F a function and why/why not?
Yes, no two ordered pairs in this list have the same first coordinate.
No, each set of ordered pairs in this list has the same second coordinate.
Yes, there is more than one ordered pair in this list.
No, there is a limited number of ordered pairs in this list.

Answers

Answer:

Yes, no two ordered pairs in this list have the same first coordinate

Step-by-step explanation:

we know that

A function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

That means that there can be only one ordered pair with the same value of x.

therefore

In this problem F is a function, because all the ordered pairs of the list don't have the same first coordinate

Clyde simplified ( j^-8)^-2

Answers

ANSWER

[tex]{j}^{16} [/tex]

EXPLANATION

The given expression is

[tex]( {j}^{ - 8} )^{ - 2} [/tex]

To simplify this expression, we use the law of exponents.

Recall that:

[tex] {(a}^{m} )^{n} = {a}^{mn} [/tex]

We need to multiply the exponents to get:

[tex]( {j}^{ - 8} )^{ - 2} = {j}^{ - 8 \times - 2} [/tex]

[tex]( {j}^{ - 8} )^{ - 2} = {j}^{16} [/tex]

Therefore after simplification, Clyde got:

[tex]{j}^{16} [/tex]

Answer:

Clyde should have applied the power of a power rule and multiplied the exponents instead of adding them. The simplified form should be j to the 16th power.

Step-by-step explanation:

The exponents should be multiplied.

The simplified form should be j^16

Use the zero product property to find the solutions to the equation 6x^2- 5x = 56.

Answers

Answer:

[tex]\large\boxed{x=-\dfrac{8}{3}\ or\ x=\dfrac{7}{2}}[/tex]

Step-by-step explanation:

[tex]6x^2-5x=56\qquad\text{subtract 56 from both sides}\\\\6x^2-5x-56=0\\\\6x^2+16x-21x-56=0\\\\2x(3x+8)-7(3x+8)=0\\\\(3x+8)(2x-7)=0\iff 3x+8=0\ \vee\ 2x-7=0\\\\3x+8=0\qquad\text{subtract 8 from both sides}\\3x=-8\qquad\text{divide both sides by 3}\\\boxed{x=-\dfrac{8}{3}}\\\\2x-7=0\qquad\text{add 7 to both sides}\\2x=7\qquad\text{divide both sides by 2}\\\boxed{x=\dfrac{7}{2}}[/tex]

Simplify 3/4(1/2×-12)+4/5​

Answers

Answer: [tex]\frac{3}{8}x-\frac{41}{5}[/tex] or  [tex]\frac{3}{8}x-8\ \frac{1}{5}[/tex]

Step-by-step explanation:

Given the following expression:

[tex]\frac{3}{4}(\frac{1}{2}x-12)+\frac{4}{5}[/tex]

You can follow these steps in order to simplify it:

1.  You need to apply Distributive property:

[tex]=\frac{3}{8}x-9+\frac{4}{5}[/tex]

2. And now you must add the like terms. Then:

[tex]=\frac{3}{8}x-\frac{41}{5}[/tex]

Therefore you get the following answer:

[tex]\frac{3}{8}x-\frac{41}{5}[/tex] or  [tex]\frac{3}{8}x-8\ \frac{1}{5}[/tex]

Which of the given expressions results in 0 when evaluated at x = 5?
OA. 5x(x – 7)
OB. (x - 3)(x - 5)
Oc. (x + 7)(x - 2)
OD. (x + 5)(x - 8)

Answers

Answer:

B

Step-by-step explanation:

Look for an expression with (x - 5 ) as this will give zero when x = 5, that is

x - 5 = 5 - 5 = 0

The only expression with a factor of (x - 5 ) is B

Simplify (x-4)(x^2+5x+2).

Answers

Answer: x^3 + 1x^2 - 18x - 8

Step-by-step explanation: Using the box method, we get the values x^3, 5x^2, 4x^2, 20x, 2x, and 8. Then you add the like terms to get your final answer.

lol my diagram got glitched out when uploading, sorry if its hard to understand

Can you guys please help me with this two questions

Answers

Answer:

1. C) 5.50x + 10

2. 54

Step-by-step explanation:

1. C) 5.50x + 10

You have a static fee of $10 which does not need to be attached to a variable as it will not change. You also have a fee of $5.50, which may be charged depending on the amount of classes. Since this is dependent on something, it includes a variable.

Therefore, your terms are:

5.5x

10

Simply add them together for your equation.

[tex]5.5x+10[/tex]

2. 54

To solve, simply plug in 8 to your equation which you created in part 1. This is possible because x stands for the amount of classes and, as the question tells us, 8 is the amount of classes.

[tex]5.5(8)+10\\44+10\\54[/tex]


What is the first term in this expansion?
1.) 2x^15
2.) 2^15x^15
3.) 10y^15
4.) 10^15y^15

Answers

Answer:

2¹⁵x¹⁵ (2nd option)

Step-by-step explanation:

When you expand (2x+10y)¹⁵ you would get:

32,768x¹⁵ + 2,457,600x¹⁴y + 86,016,000x¹³y² + 1,863,680,000x¹²y³+

27,955,200,000x¹¹y⁴+307,507,200,000x¹⁰y⁵ + 307,507,200,000x¹⁰y⁵ + ... so on and so forth.

Since you are not interested in anything else but the first term, observe that the first term is:

32,768x¹⁵

That is equal to: 2¹⁵x¹⁵

What happened there is you need to distribute the exponent to the coefficient of the term as well, so you need to distribute it to 2 as well.

What’s the value of x

Answers

Answer:

The correct answer is last option 3√2 units

Step-by-step explanation:

From the figure we can see that two small  right angled triangle.

These two triangle combined to form a large right angled triangle.

To find the value of x

Consider the small triangle with hypotenuse x and one side 3 units.

The angles of this triangle be 45°, 45° and 90°, then the sides are in the ratio 1 : 1 : √2

Therefore we can write,

3 : 3 : x = 1 : 1 : √2

x = 3√2

The correct answer is last option 3√2 units

The answer is 3radical 2

If R(x) = 2x - 5 and g(x) = x2 - 4x - 8, find (f + g(%).
O A (f+9)(x) = x2 - 2x-3
O B. (f+g)(x) = x2 - 2x-13
O C. (*+ g)(x) = 3x2 - 4x- 13
O D. (f+ g)(x) = x2 + 2x-3
C
PREVIOUS​

Answers

Answer:

OB. (f+g)(x) = x^2-2x-13

Step-by-step explanation:

Given

f(x) = 2x-5

and

g(x) = x^2-4x-8

We have to find (f+g)(x)

So,

(f+g)(x) = f(x) + g(x)

= 2x-5 + (x^2-4x-8)

= 2x-5+x^2-4x-8

= x^2+2x-4x-5-8

=x^2-2x-13

Therefore, Option B is correct ..

The volume of a cube depends on the length of its sides. This can be written
in function notation as ws). What is the best interpretation of 3) = 27?

Answers

Answer:

Step-by-step explanation:

The given question is that the volume of a cube depends on the length of its sides.This can be written in function notation  as v(s). What is the best interpretation of v(3)=27.

Solution:

According to the question the volume of a cube depends on the length of its sides. According to the statement we will apply the formula of volume of a cube.

V(s)=s³

In this question we have given s=3ft.

So, we will put the value of 's' in the formula.

V(s)=s³

V(3)=3³

Multiply 3 three times to get the answer.

V(3)=3*3*3

V(3)=27 ft³

This means that the cube has a volume of 27ft³ with the length of its sides 3ft....

Given a triangle with a = 12, A = 13°, and B = 12°, what is the length of c? Round to the nearest tenth.

Answers

Answer:

=5.1 units

Step-by-step explanation:

To use the sine rule to find the length of c we first need to find the angle at C.

C=180-(13+12)

C=180-25

C=155°

a/Sin A=c/Sin C

Calculating for the value of c using the sine rule:

12/Sin 13=c/Sin 155

c=12 sin 155

=5.07 units

Thus to 1 decimal places, the value of c is 5.1 units.

If f(x)=x^2+2x−5 and g(x)=2x+4, what is (f⋅g)(x)

Answers

Answer:

Step-by-step explanation:

f(x)=x²+2x−5 and g(x)=2x+4

(f⋅g)(x) = (x²+2x−5)(2x+4) = 2x^3 +4x² -10x +4x²+8x-20

(f⋅g)(x) = 2x^3+8x² -2x -20

For this case we have the following functions:

[tex]f (x) = x ^ 2 + 2x-5\\g (x) = 2x + 4[/tex]

We must find [tex](f * g) (x)[/tex]. By definition we have to:

[tex](f * g) (x) = f (x) * g (x)[/tex]

So:

[tex](f * g) (x) = (x ^ 2 + 2x-5) (2x + 4)[/tex]

Applying distributive property we have:

[tex](f * g) (x) = 2x ^ 3 + 4x ^ 2 + 4x ^ 2 + 8x-10x-20[/tex]

We add similar terms:

[tex](f * g) (x) = 2x ^ 3 + 8x ^ 2-2x-20[/tex]

Answer:

[tex](f * g) (x) = 2x ^ 3 + 8x ^ 2-2x-20[/tex]

Which of the following is a function?

A. {(1,1), (2,5), (-2,5), (1,-1)}
B. {(-1,1), (-2,1), (-1,3), (-4,1)}
C. {(-1,1), (-1,2), (-1,3), (-1,4)}
D. {(-1,1), (-2,2), (-3,3), (-4,4)}

Answers

Answer:

D

Step-by-step explanation:

Reminder:  A function returns ONLY ONE y value for each input value.  

We immediately discard possible answer A, since 2 points have input 1 with different outputs.

Same for B:  discard this.

Same for C:  discard this.

D is a function.  All of the inputs are unique (no duplication).

Choose the equation that represents the graph below:

Answers

Answer:

y = -2x/3 + 6

Step-by-step explanation:

y = mx+b

m = y2-y1/x2-x1

m = 2 - 6/6 - 0

m= -4/6 = -2/3

b = y-intercept = 6

Selena is graphing the inequality x <-2
She begins by drawing a number line and placing an open circle at –2. What’s Selena’s next step?

Answers

draw an arrow pointing to the left on left side of the open circle

Answer:

My man above in Correct

Step-by-step explanation:

In each of the following pairs, determine the temperature change, and whether the temperature increased or decreased. a. 45° F to –10° F b. 35° C to 80° F c. –19° C to 49° C d. 137° C to 0° C e. 5° C to 19° F f. 68° F to 29° C

Answers

A: decreased

B: increased

C: increased

D: decreased

E: decreased

F: increased

Answer:

∵ Change = final value - initial value,

If change > 0, then the value is increased,

if change < 0, then the value is decreased,

a. 45° F to -10° F,

Change = -10° F - 45° F = -55° F < 0° F,

Thus, temperature is decreased,

b. 35° C to 80° F

∵ 35° C = 95° F  ( by the formula (°C × 9/5) + 32 = °F )

Change = 80° F - 95° F = -5° F < 0° F,

Thus, temperature is decreased,

c. -19° C to 49° C,

Change = 49° C - (-19)° C = 68° C > 0° C,

Thus, temperature is increased,

d. 137° C to 0° C,

Change = 0° C - 137° C = -137° C < 0° C,

Thus, temperature is decreased,

e. 5° C to 19° F,

∵ 5°C = 41°F

Change = 19° F - 41° F = -22° F < 0° F,

Thus, temperature is decreased,

f. 68° F to 29° C,

∵ 29°C = 84.2°F

Change = 84.2°F - 68° F = 16.2° F > 0° F,

Thus, temperature is increased.

p(x) is a polynomial with integer coefficients and p(-3) = 0. Which statements must be true? Choose all that apply. (MORE THAN ONE ANSWER)

x + 3 is a factor of the polynomial.
x - 3 is a factor of the polynomial.
-3 is the constant term of the polynomial.
p(x) can have at most 3 linear factors.

Answers

Answer:

x+3 is a factor of P

Step-by-step explanation:

By the factor theorem:

P(a)=0 <-> x-a is a factor of P.

You have P(-3)=0.

This implies x-(-3) is a factor of P.

Note: x-(-3)=x+3.

Your answer is the first option, (x + 3) is a factor of the polynomial.

We know this from the factor theorem, which states that if f(a) = 0, then (x - a) is a factor.
Thus we know that (x - -3) is a factor, which simplifies to (x + 3).

All the other answer options do not have to be true, because (x - 3) doesn’t have to be factor, -3 doesn’t have to be the constant of the polynomial, and p(x) can have any number of linear factors, which means the only answer you should select as definitely true is the first option.

I hope this helps! Let me know if you have any questions :)

At the carpet store where you work, a customer wants to buy carpet for a room that is 16 1/2 feet by 18 1/2 feet in size. The carpet ,pad,and installation will cost $17.50 per square yard. To the nearest dollar,how much will it cost to carpet the room?

Answers

Answer: 595 Dollars

Step-by-step explanation:

16 1/2 times 18 1/2 = 305.25

one square yard = nine feet

305 devided by nine 33.9166667 (round to 34)

34 times 17.50 = 595

Answer:

$593

Step-by-step explanation:

We have been that a customer wants to buy carpet for a room that is 16 1/2 feet by 18 1/2 feet in size.

First of all, we will find area of carpet by multiplying both side lengths as:

[tex]\text{Area of carpet}=16\frac{1}{2}\text{ ft}\times 18\frac{1}{2}\text{ ft}[/tex]

Convert mixed fraction into improper fraction:

[tex]16\frac{1}{2}\Rightarrow \frac{16\times2+1}{2}=\frac{32+1}{2}=\frac{33}{2}[/tex]

[tex]18\frac{1}{2}\Rightarrow \frac{18\times2+1}{2}=\frac{36+1}{2}=\frac{37}{2}[/tex]

[tex]\text{Area of carpet}=\frac{33}{2}\text{ ft}\times \frac{37}{2}\text{ ft}[/tex]

[tex]\text{Area of carpet}=\frac{1221}{4}\text{ ft}^2[/tex]

[tex]\text{Area of carpet}=305.25\text{ ft}^2[/tex]

1 square feet equals 0.111 square yards.

[tex]305.25\text{ ft}^2=305.25*0.1111\text{ yards}^2[/tex]

To find the cost to carpet the room, we will multiply area of carpet by cost $17.50 per square yards.

[tex]305.25\times 0.1111\text{ yards}^2\times\frac{\$17.50}{\text{ yard}^2}[/tex]

[tex]305.25\times 0.1111\times\$17.50[/tex]

[tex]\$593.4823125\approx \$593[/tex]

Therefore, the cost to carpet the room would be $593.

Let's investigate
You have an appointment at 2 o'clock at the dentist. Then you need to catch a
train one hour after your appointment. The walk to the train station takes
20 minutes. What time will you have to leave the dentist to catch your train?​

Answers

You would need to leave the dentist at 2:40.

Solve for x in the picture please

Answers

Answer: [tex]x=1[/tex]

Step-by-step explanation:

In order to find the value of "x", it is important to remember that:

[tex]Tangent\ chord\ angle=\frac{1}{2}(Intercepted\ arc)[/tex]

 We can identify in the figure that:

[tex]Tangent\ chord\ angle=(43x)\°\\\\Intercepted\ arc=AB[/tex]

Then:

[tex]43x=\frac{1}{2}AB[/tex]

Solving for AB:

[tex]2(43x)=AB\\\\AB=86x[/tex]

Now, since there are 360° in a circle, we know that:

[tex]AB+(272x+2)=360[/tex]

Then we can substitute [tex]AB=86x[/tex] into [tex]AB+(272x+2)=360\°[/tex] and solve for "x". This is:

[tex](86x)+(272x+2)=360\\\\358x=360-2\\\\x=\frac{358}{358}\\\\x=1[/tex]

Select the correct answer.
If a line crosses the y-axis at (0, 1) and has a slope of 4/5, what is the equation of the line?

Answers

Answer:

5y - 4x = 5. This gives you your points with a slope of 4/5

Answer:

[tex]y=\frac{4}{5}x+1[/tex]

Step-by-step explanation:

We are given the slope, and the y-intercept. So we can use the slope-intercept equation. Which is as follows:

[tex]y=mx+b[/tex]

where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of [tex]y[/tex] when [tex]x=0[/tex]).

The information that we have is that the slope of the line is:

[tex]m=\frac{4}{5}[/tex]

and that the line crosses the y-axis at (0, 1).

From this point we can find the y-intercept [tex]b[/tex], because b is the value of [tex]y[/tex] when [tex]x=0[/tex].

And since the line passes through (0, 1) when [tex]x = 0[/tex], [tex]y =1[/tex]. Thus, the y-intercept is:

[tex]b=1[/tex]

substituting the values of the slope and the y-intercept into the equation:

[tex]y=mx+b\\y=\frac{4}{5}x+1[/tex]

the answer is:   [tex]y=\frac{4}{5}x+1[/tex]

Express in exponential form. log 3 a = n

Answers

Answer:

[tex]\log_3(a)=n[/tex] has exponential form [tex]3^n=a[/tex].

[tex]\log(3a)=n[/tex] has exponential form [tex]10^{n}=3a[/tex].

Please let me know if neither of my interpretations of your problem/question is correct.  That is I can either assume you wrote [tex]\log_3(a)=n[/tex]  or [tex]\log(3a)=n[/tex].

If something else was intended, please let me know. Thanks kindly.

Step-by-step explanation:

Let's assume: [tex]\log_3(a)=n[/tex].

The base is 3.

The exponent is n. (Just remember the logarithm is the exponent.)

So we have [tex]3^n=a[/tex]

In general these forms are equivalent:

[tex]log_b(a)=y \text{ is equivalent to } b^y=a[/tex].

[tex]\log(3a)=n[/tex] is the same as [tex]\log_{10}(3a)=n[/tex]

The base is 10 (if you don't see a base and log is written).

The exponent is n.

So we have [tex]10^n=3a[/tex].

Final answer:

To transform the logarithmic function log3 a = n into an exponential form, we apply the rule that if logb a = n, then b^n = a. Therefore, the exponential form is 3^n = a.

Explanation:

The student's question is about transforming a logarithmic equation into an exponential form. This is a common request in mathematics, particularly in algebra and precalculus.

The given equation is log3 a = n. The exponential form of a logarithmic equation is based on this relationship: If logba = n, then the exponential form is bn = a. Applying this rule to the provided equation gives 3n = a as the exponential form.

 

This transformation is based on the definition of logarithms, which are the inverses of exponential functions. The logarithm of a number to a particular base is the exponent to which the base must be raised to get that number. So in this case, n is the power you need to raise 3 to in order to get a.

Learn more about Logarithms here:

https://brainly.com/question/37287488

#SPJ3

Triangle ABC has coordinates A(2, 4), B(5, 6), and C(1, 4). If the triangle is rotated 180° clockwise about the origin, what are the coordinates of B'?

Answers

Answer:

B'(-5,-6)

Step-by-step explanation:

The mapping for 180° clockwise rotation about the origin is:

[tex](x,y)\to (-x,-y)[/tex]

The find the image of B(5,6), we plug in x=5 and y=6 into the rule.

[tex](5,6)\to (-5,-6)[/tex]

Therefore the coordinates of B' are (-5,-6).

Point B with coordinates (5, 6) will have coordinates (-5, -6) after a 180° clockwise rotation about the origin.

Triangle ABC has coordinates A(2, 4), B(5, 6), and C(1, 4). If the triangle is rotated 180° clockwise about the origin, we need to find the coordinates of B'.

To rotate a point (x, y) 180° about the origin, we can multiply the coordinates by -1. So, the coordinates of B' after rotation will be (-5, -6).

whole numbers to make 380 in four different ways.

Answers

Answer:

There are several ways to make 380 with whole numbers. For example:

100 + 80 = 380220 + 160 = 380190 + 190 = 3801 + 379 = 380

estimate 16.667 + 7.66 by first rounding each number to the nearest tenth

Answers

Answer:

24.4

Step-by-step explanation:

16.667 + 7.66 becomes 16.7 + 7.7, which, in turn, is 24.4

Answer:

24.4

Step-by-step explanation:

The nearest tenth is the first decimal place.  We look at the second decimal place.  If it is 5 or above we round up

16.667 to the nearest tenth = 16.7

7.66 to the nearest tenth = 7.7

16.7 + 7.7 = 24.4

Other Questions
g How much do you need when you retire to provide a $2,500 monthly check that will last for 25 years? Assume that your savings can earn 0.5% a month. $402,766.67 $414,008.24 $388,017.16 $361,526.14 5. Suppose that every three months, on average, an earthquake occurs in a certain region. Assuming this is a Poisson process, what is the probability that the next earthquake occurs after three but before seven months? 15 points!! What do you think? And why? What does this equation, 2 C(s) + O 2(g) 2 CO(g), tell us?A) the number of atoms of each kind in reactants and products is the sameB) carbon monoxide (CO) is a productC) two atoms of carbon undergo reactionD) all of these During a research experiment, it was found that the number of bacteria in a culture grew at a rate proportional to its size. At 1010:00 AM there were 4 comma 0004,000 bacteria present in the culture. At noon, the number of bacteria grew to 4 comma 6004,600. How many bacteria will there be at midnight? What is the equation of the new function??? Adhering junctions are based on two different types of cytoskeleton filament systems. Name those systems. What are the 3 hallmarks of diabetes mellitus? Osborn Manufacturing uses a predetermined overhead rate of $20.10 per direct labor-hour. This predetermined rate was based on a cost formula that estimates $279,390 of total manufacturing overhead for an estimated activity level of 13,900 direct labor-hours. The company actually incurred $277,000 of manufacturing overhead and 13,400 direct labor-hours during the period. Required: 1. Determine the amount of underapplied or overapplied manufacturing overhead for the period. 2. Assume that the company's underapplied or overapplied overhead is closed to Cost of Goods Sold. Would the journal entry to dispose of the underapplied or overapplied overhead increase or decrease the companys gross margin Help me with quistion 1 and 2 What can we do to reduce global warming? Select one: a. Travel by car b. Use air conditioning c. Use less electricity Thin film deposition is a process where: a)-elemental, alloy, or compound thin films are deposited onto a bulk substrate! b)-Phosphatization is also applied c)-Zinc plating is also applied d)-None of the above Last year, Johnson Mills had annual revenue of $37,800, cost of goods sold of $23,200, and administrative expenses of $6,300. The firm paid $700 in dividends and had a tax rate of 35 percent. The firm added $2,810 to retained earnings. The firm had no long-term debt. What was the depreciation expense? A 2.3 kg block is dropped from rest from a height of 4.6 m above the top of the spring. When the block is momentarily at rest, the spring is compressed by 25.0 cm. What is the speed of the block when the compression of the spring is 15.0 cm? You cool a 130.0 g slug of red-hot iron (temperature 745 C) by dropping it into an insulated cup of negligible mass containing 85.0 g of water at 20.0 C. Assume no heat exchange with the surroundings. How do you do this?Part A What is the final temperature of the water?Part B What is the final mass of the iron and the remaining water? How does the egg of a flower become fertilized? 1 answer, not multiple choice.as soon as the pollen reaches the stigmaafter the pollen grain descends down the stylewhen the pollen tube grows into the ovulewhen the seed germinates .Solve the triangle. B = 72, b = 12, c = 8(1 point) A sample of 20 printed labels is selected from a process that is 20% nonconforming. What is the probability of 3 nonconforming labels in the sample? Use the Poisson distribution. Show your work. An experiment consists of drawing different colored T-shirts from a drawer that contains an unknown number of T-shirts of different colors. In 55 trials of the experiment, a black T-shirt was drawn 10 times. If the experiment were repeated 110 times, how many times would you predict that a black T-shirt would be drawn? whats the trapezoids missing length?