f(x)=8−4x−x3 g(x)=x2+7x−9 Find f(x)+g(x). Select one: a. x3+x2+3x−1 b. −x3+x+3x−1 c. −x3+x2+11x−9 d. 8x2+3x−9x3

Answer:

[tex]cos\alpha =\frac{7}{25}; \ tan\alpha =-\frac{7}{24}.[/tex]

Step-by-step explanation:

if π<α<2π and cotα<0, then 1.5π<α<2π. It means, that cosα>0 and tanα<0.

1) tanα=1/cotα; ⇒tanα= -7/24;

2) [tex]cos\alpha =\frac{1}{\sqrt{1+cot^2\alpha }}}; \ cos\alpha =\frac{7}{25}.[/tex]

Answer:

Each box of buns weighs 18 pounds and each box of potatoes weighs 35 pounds

Step-by-step explanation:

Let's say each bun box weighs b pounds and each potato box weighs p pounds. For each box of buns, we add b pounds. Therefore, for 40 boxes of buns, we add 40 * b pounds. Similarly, for 35 boxes of potatoes, we add 35 * p pounds.

For Tuesday, the total weight of the buns boxes is equal to 40 * b. The total weight of the potato boxes is equal to 35 * p. Adding these two together, we get the total weight of the boxes to be equal to

40 * b + 35 * p = 1945

For Friday, we can apply similar techniques to get

60 * b + 70 * p = 3530

We therefore have the two equations

40 * b + 35 * p = 1945

60 * b + 70 * p = 3530

One way to solve this would be to convert this into a matrix and use Guass-Jordan Elimination. With the amount of bun boxes representing the first column, the amount of potato boxes representing the second, and the total weight of each day representing the third, we have

[tex]\left[\begin{array}{ccc}40&35&1945\\60&70&3530\end{array}\right][/tex]

One thing that we can do here is multiply the first row by -2 and add it to the second. That way, there would be a 0 in the 2nd column in the 2nd row, making an equation of the form

something * b = something else, enabling us to solve for b.

We thus have

[tex]\left[\begin{array}{ccc}40&35&1945\\(-40*2+60)&(-35*2+70)&(-1945*2 +3530)\end{array}\right] = \left[\begin{array}{ccc}40&35&1945\\-20&0&-360\end{array}\right][/tex]

Therefore, we can say that

-20 * b = -360

divide both sides by 20 to isolate b

b = 18

Therefore, each box of bunds weighs 18 pounds. Plugging that into an equation, we have

40 * b + 35 * p = 1945

40 * 18 + 35 * p = 1945

720 + 35 * p = 1945

subtract 720 from both sides to isolate the p and its coefficient

1225 = 35 * p

divide both sides by 35 to isolate p

p = 35

Therefore, each box of potatoes weighs 35 pounds

The operating ratio of the local ice cream shop is 38 percent

The cost of goods sold is $2,500

The net sales is $18,200

The operating expenses is $4,350

The operating ratio can be calculated as follows

= cost of goods sold+ operating expenses/total revenue

= 2500+4,350/18,200

= 6,850/18,200

= 0.376×100

= 37.6

= 38%

Hence the operating ratio is 38%  

Click on the link below to learn more

https://brainly.com/question/18460165?referrer=searchResults

The angle the golfer went off line from the tee when they  drove the ball

is [tex]\phi=28.2 \textdegree[/tex] because the cosine rule has been applied to calculate the angle

From the question we are told that:

Distance of hole from tee [tex]d_h=340yards[/tex]

Distance to the right [tex]d_r=230yards[/tex]

Ball distance from hole [tex]d_b=175 yard[/tex]

Given that the three points form a triangle x,y,z respectively

Where

[tex]d_h=xz[/tex]

[tex]d_r=xy[/tex]

[tex]d_b=yz[/tex]

Using Cosine Rule

[tex]yz^2=xy^2+xz^2-2(xy)(xz)cos\phi[/tex]

Therefore

[tex]cos\phi=\frac{yz^2}{xy^2+xz^2-2(xy)(xz)}[/tex]

[tex]cos\phi=\frac{(175)^2}{230^2+340^2-2(230)(340)}[/tex]

[tex]cos\phi=0.88[/tex]

[tex]\phi=28.2 \textdegree[/tex]

In conclusion the angle the golfer went off line from the tee when they

drove the ball is mathematically deducted and give as

[tex]\phi=28.2 \textdegree[/tex]

For more information on this visit

https://brainly.com/question/21856223

mode is the data that occurs most often in a data

Hi, I'm happy to help!

First, we need to find BC. We know, because B is the midpoint of AC, that AB and BC are congruent, or the same length. We are told that AB is 3.

So, BC is 3 also.

Next, we need to find AC. AC is a combination of AB and BC, so, we just add them.

3+3=6

AC is 6.

Finally, we need to find DE. We know that AC and CE are congruent because of this sign: ≅. This means they are the same length. We can then know that CE is 6 also. To find DE we need to take the length of CD away from CE. We know that CD is 2, so now, we subtract.]

6-2=4

DE is 4.

I hope this was helpful, keep learning! :D

The coldest time of day in Mumbai is 5 hours after midnight.

Since the average temperature t hours after midnight in Mumbai, India, is given by:

T(t)=24.5-5.5sin((2pi(t+1))/24)

We have that

T(t) = 24.5 - 5.5sin((2π(t+1))/24)

The coldest time of day is when T(t) is minimum.

T(t)  is minimum when 5.5sin((2π(t+1))/24) is minimum where t is the coldest time of day at minimum temperature, T(t).

Since for a sine function, -1 ≤ sinФ ≤ 1, the minimum value of sinФ = -1.

So, T(t) = 24.5 - 5.5sin((2π(t+1))/24) is minimum when

5.5sin((2π(t+1))/24) is minimum.

Also, -5.5sin((2π(t+1))/24) = 5.5 × -1 at minimum temperature T(t)

So, 5.5 × -1 = 5.5 × -sin((2π(t+1))/24)

So, -sin((2π(t+1))/24) = -1

sin((2π(t+1))/24) = 1

Taking inverse sine of both sides, we have

sin⁻¹sin((2π(t+1))/24) = sin⁻¹(1)

((2π(t+1))/24) = π/2

Multiplying both sides by 24, we have

(2π(t+1))/24 × 24 = π/2 × 24

(2π(t+1)) = 12π

Dividing both sides by 2π, we have

2π(t+1)/2π = 12π/2π

t + 1 = 6

t = 6 - 1

t = 5 hours

So, the coldest time of day in Mumbai is 5 hours after midnight.

Learn more about average temperature here:

https://brainly.com/question/19388300

Answer:

The correct answer of this question is( larger)

may this answer is helpful for you

This question is solved using sampling, and proportions concepts.

The sample proportion is the point estimate for the population proportion, and we use this to find the estimate, which we find as 15% = 0.15, which is the sample proportion.

----------------------------------------------------

Proportion:

A proportion is the number of desired outcomes divided by the number of total outcomes.

----------------------------------------------------

In this question:

You take a sample of 30 candies. Your sample proportion

of yellow candies is 15%.

Thus, the point estimate of the true proportion of yellow candies in the sample, according to your sample, is of 15%.

----------------------------------------------------

A similar problem can be found at: https://brainly.com/question/24083999

7. √9

√9 is a rational number because √9 = 3 = 3/1.

8. No, there is no integer between -6 and -7.

9. π

π is an irrational number

Answer:

0 and yes

Step-by-step explanation:

Let a=6m where m is any integer since a is divisible by 6. (a+12)/3=(6m+12)/3=2m+4 which is also an integer. The remainder is 0.

Since n is divisible by 3, n can be written as 3a, where a is any integer and m can be written as 2b, where b is any integer. n*m+12=6ab+12 which is divisible by 2.

If a is divisible by 6 it is also divisible by 3 which when added to 12 which is also divisible by 3 will result in a number divisible by three which means remainder will be 0

if n is divisible by 3, m is divisible by 2 then n.m + 12 will always be divisible by 2 because any number multipled by a number mutiple of 2 will be always divisible by 2 and when 12 added to it will also be divisible by 2.

Must click thanks and mark brainliest

Answer:

cosA = 0.6

Step-by-step explanation:

Using the Pythagorean identity

sin²A + cos²A = 1 ( subtract sin²A from both sides )

cos²A = 1 - sin²A ( take the square root of both sides )

cosA = ± [tex]\sqrt{1-sin^2A[/tex]

Since only the positive value is required , then

cosA = [tex]\sqrt{1-(0.8)^2}[/tex]

         = [tex]\sqrt{1-0.64}[/tex]

         = [tex]\sqrt{0.36}[/tex]

         = 0.6

Answer:

Answer:

Answer:x = 25°

Answer:x = 25°Step-by-step explanation:

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2}

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 2

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2}

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 2

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is\frac{1}{2} 21 ( BD - FE ) = ∠ FGE, that is\frac{1}{2} 21 (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )x = 25°

Answer:

C

Step-by-step explanation:

The formula for this solid is

V = B * h

B = L * W

L = 5

W = 3

B = 3*5

B = 15

V = B * h

V = 15 * 7

V = 105

Answer:

V = 105 in ^3

Step-by-step explanation:

The volume of a rectangular prism is

V = l*w*h  where l is length, w is width, and h is height

V = 7*5*3

V = 105 in ^3

Problem 1

-----------------------

Explanation:

The notation A U B means we're applying a union between A and B. This will form a larger set in which items from A or B are thrown into A U B. Think of "union" as in getting married, and person A's stuff is combined with person B's stuff to form a larger set. Any duplicates are tossed. It's often helpful to sort from smallest to largest.

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

Problem 2

-----------------------

Explanation:

Set C is defined as the set of prime numbers less than or equal to 20. The roster form is C = {2,3,5,7,11,13,17,19} which basically lists every item that fits the description earlier. Note how the value 1 is not prime, so it's not in the set C.

From here, we simply count out the values in set C to find there are 8 values. Therefore, n(C) = 8.

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

Problem 3

-----------------------

Explanation:

Let's consider a real world example of set vs subset. Consider the set of all animals and consider the subset of all dogs. Let's say

A = all animals

B = all dogs

We can see that set A is clearly larger than B. Also, any member of set B is also in set A, but not the other way around. In other words, if something is a dog, then they are also an animal. However, this doesn't work the other way around. For instance, we could have a cat in set A that wouldn't be in set B.

Let's return to the problem at hand. Since B is a subset of A, this must mean everything in B = {2,12,x,9} is found in set A. Sure enough, the 2, 12 and 9 are all in set A. The x must also be a value in set A so we could have

x = 3

x = 4

x = 5

x = 6

x = 7

as our possible answers. I'm not listing x = 2, x = 9 or x = 12 as they have been taken care of. I'm assuming that your teacher wants {2,12,x,9} to list unique items (ie it's after the duplicates are tossed out).

Answer:

Me = no it doesn't....

you = why tho

me = becoz function not given .....

so lame joke ik...

Answer:

Maybe length iss= 27 cm.

Answer:

q = 3+1/2 r

Step-by-step explanation:

10q -5r = 30

Add 5r to each side

10q -5r+5r = 30+5r

10q = 30 +5r

Divide by 10

10q/10 = 30/10 +5r/10

q = 3+1/2 r

Answer:

6y + 4 = 12 is simple. 6 times y + 4 to equal 12. 6 + 4 = 10. 12-10=2. To get 2 more than 6 is Y=4/3

Step-by-step explanation:

Answer:

a)=4x

b)= use common factor

=72y−32

=8(9y-4)

Step-by-step explanation:

square of 5 is 25 and it divided by the cube root of 27 means 3

Now ,

#25÷3

= 8 [1] (•°• 3×8 = 24)

Here,

we got 1 as a reminder .

Hope it is helpful to you

✌️✌️✌️✌️✌️✌️✌️

The remainder will be 1.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The square of 5 is divided by the cube root of 27.

Now,

Since, The square of 5 is divided by the cube root of 27.

Hence, We get;

⇒ 5² / ∛27

⇒ 25 / 3

After divide we get;

 3   )  25  ( 8

         24

       --------

          1

Thus, The value of remainder = 1

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Answer:

D. k(x)=x²+7

Step-by-step explanation:

f(x)=x² + 5

y=mx+c

since it is not moved horizontally the x and slope(m) will remain the same but the 2 will be added to the intercept(c) which is 5 to become seven

Answer: 40000 square centimetres

Area

4

Square meter

40000

Square centimeter

Formula

multiply the area value by 10000

Answer:

4m² into cm² = 40,000cm²

Step-by-step explanation:

1 m²=10,000cm²

4m²+ 10,000cm =40,000cm²

Answer:

false

Step-by-step explanation:

this is because there is no function of an unknown in this set

Answer:

B, E

Step-by-step explanation:

( 9 × 100 )  +  ( 2 × 10 )  +  ( 3 × 0.10 )  +  ( 5 ×0.01 )  = 920.35

A.  92.35

B.  920.350

C.  902.35

D.  92.350

E.  920.35

F. 920.035

Answer:

2/3

Step-by-step explanation:

1/3 + 1/3 = 2/3

Since the denominator is the same, just add up the numerators and keep the denominator the same!

Hope this helps :)

Answer:

2/3

Step-by-step explanation:

the denominator (bottom number) is the same for both fractions, so you can add the numerators (top numbers) and keep the denominators (bottom) the same. the result is 2/3

Answer:

Option A, $65,280Step-by-step explanation:The volume of the tank is,12×20×15+40×(50-15)×12= 3600+16800=20400 cubic metersFor each cubic meter, ...  More

Answer:

52°

Step-by-step explanation:

64×2=128

360-128=232

so,

x=(232-128)/2

or, x=104/2

or, x=52°

Answer:

5

Step-by-step explanation:

Prime factorize 20 , 40 , 35

20 = 2 * 2 * 5

40 = 2 * 2 * 2 * 5

35 = 5 * 7

HCF = 5  

HCF is the common factor found in 20 , 40 and 35  

Answer:

Below

Step-by-step explanation:

The HCF or GCF of these number would be 5!

5 x 4 = 20

5 x 8 = 40

5 x 7 = 35

Hope this helps!

Answer:

Weak positive correlation

Answer:  3n+2  hours

To get this answer, you divide the distance over speed

This is because

distance = rate*time

time = distance/rate

So we have

time = (distance)/(rate)

time = (6n^2+4n)/(2n)

time = (6n^2)/(2n) + (4n)/(2n)

time = 3n + 2 hours