Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
6(1/2w -3/4)

Answer:

11+11= 22 answer is $ 22.03

Step-by-step explanation:

[tex] \sin(x) = \frac{12}{13} [/tex]

The value of the trigonometric ratio are;  [tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex].

Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse.

Trigonometric ratio are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle suppose its measure is θ,

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]

[tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex]

Therefore, The value of the trigonometric ratio are;  [tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex].

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Answer:

y = 43

Step-by-step explanation:

(y-4)/3 = (y+9)/4

4(y-4) = 3(y+9)

4y-16 = 3y+27

4y-3y = 27+16

y = 43

Given:

The mass function is:

[tex]m(v)=4.5v[/tex]

where v is the volume in cubic centimeters.

The force function is:

[tex]F(m)=800m[/tex]

To find:

The composite function can be used to find the force of the object based on its volume.

Solution:

The composite function can be used to find the force of the object based on its volume is:

[tex]F(m(v))=F(4.5v)[/tex]              [tex][\because m(v)=4.5v][/tex]

[tex]F(m(v))=800(4.5v)[/tex]              [tex][\because F(m)=800m][/tex]

[tex]F(m(v))=3600v[/tex]

Therefore, the correct option is D.

Answer: F(m(v)) = 3,600v

Step-by-step explanation:DDDD

Answer:

See explanation

Step-by-step explanation:

Maximum weight = 20 kg

Bag 1 = 3.5kg

Bag 2 = 15 kg

Bag 3 = 2kg

Bag 4 = 1.5kg

Total weight of bags = 22 kg

Excess weight of his luggage = Total weight of bags - Maximum weight

= 22 kg - 20 kg

= 2 kg

Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100

= 2/20 × 100

= 0.1 × 100

= 10%

Express the excess weight as a percentage of his maximum weight allowed = 10%

Answer: [tex]48.5\ ft[/tex]

Step-by-step explanation:

Given

Area of the regular hexagon is [tex]169.74\ ft^2[/tex]

Length of the apothem is [tex]l=7\ ft[/tex]

Suppose the side of the hexagon is a

Hexagon can be divided into six equal triangles with same area

Area of a single triangle is

[tex]\Rightarrow A_1=\dfrac{1}{2}\times 7\times a\\\\\Rightarrow A_1=3.5a\ ft^2[/tex]

Area of hexagon will be equal to area of 6 equal area triangles

[tex]\Rightarrow 6A_1=169.74\\\Rightarrow 6\times 3.5a=169.74\\\Rightarrow a=8.08\ ft[/tex]

Perimeter of the hexagon is

[tex]\Rightarrow P=6a\\\Rightarrow P=6\times 8.08\\\Rightarrow P=48.49\approx 48.5\ ft[/tex]

Thus, the perimeter of the hexagon is [tex]48.5\ ft[/tex]

Answer:

C

Step-by-step explanation:

edge 2021

Answer:

sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = x/2

2 sin 45 =x

2 (sqrt(2)/2) =x

sqrt(2) =x

Answer:

A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.

Answer: 3

Step-by-step explanation:

The check mark with the line is a sauare root symbol. It means find the square root of the number next to it. The square root of something is a number times the same number to get the number. For example, the square root of 16 is 4 because 4x4 is 16. 3x3 is 9 so that’s the square root.

Answer:

525 pound of onions were recieved

Step-by-step explanation:

1 bag of potatoes: 30 pounds

total pounds of potatoes and onions received= 1800

let the total pounds of onions received be x,

25 bags of potatoes = 25 × 30= 750 pounds

now according to the question,

x + x + 750= 1800

2x = 1800 - 750

x= 1050 ÷ 2

x= 525

Note: plz correct me if I am wrong somewhere

The restaurant receives 150 pounds of onions.

Let's assume the number of bags of onions is "x". According to the problem, there are 25 more bags of potatoes than bags of onions, which means the number of bags of potatoes is "x + 25".

The weight of each bag of potatoes is 30 pounds, so the total weight of potatoes is 30(x + 25) pounds.

The weight of each bag of onions is 5 pounds, so the total weight of onions is 5x pounds.

According to the problem, the restaurant receives 1,800 pounds of potatoes and onions in total. We can set up the following equation based on this information:

30(x + 25) + 5x = 1800

Simplifying the equation:

30x + 750 + 5x = 1800

35x + 750 = 1800

35x = 1800 - 750

35x = 1050

Dividing both sides by 35:

x = 1050 / 35

x = 30

Therefore, the restaurant receives 30 bags of onions.

To find the weight of onions, we can substitute the value of x into the expression for the weight of onions:

Weight of onions = 5x = 5 * 30 = 150 pounds

Therefore, the restaurant receives 150 pounds of onions.

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Step-by-step explanation:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

Answer:

Answer = 0

Step-by-step explanation:

√2+√3 - √2-√3

  = 0

Hope this  answer helps you :)

Have a great day

Mark brainliest

Answer:  Choice A) at most 2.5 ft wide

Work Shown:

16w ≤ 40

w ≤ 40/16

w ≤ 2.5

This says that the banner must be at most 2.5 ft wide (choice A)

In other words, the largest the width can get is w = 2.5; we can think of this as the ceiling value.

Answer: its a

Step-by-step explanation:

brainly stop taking my answer down pls

it is 3.75 lbs my shlime                                                                                                            

Answer:

the answer is 3.75 pounds

it says one pound is 16 ounces

so divide the ounces with pound

60/16

then we get 3.75 pounds

Answer:

[tex]LMN = 14.2[/tex]cm

Step-by-step explanation:

Given

[tex]r = OL = NO = MO = LO =6cm[/tex] -- radius

[tex]LM = 6.3cm[/tex] -- arc

[tex]\angle MON = 75^o[/tex]

(see attachment)

Required

The length of arc LMN

First, we calculate the length of arc MN using:

[tex]MN = \frac{\alpha}{360} * 2\pi r[/tex] --- length of arc

In this case:

[tex]\alpha = \angle MON = 75^o[/tex]

So, we have:

[tex]MN = \frac{75}{360} * 2 * 3.14* 6[/tex]

[tex]MN = \frac{75* 2 * 3.14* 6}{360}[/tex]

[tex]MN = \frac{2826}{360}[/tex]

[tex]MN = 7.85[/tex]

So, the length of arc LMN is:

[tex]LMN = LM + MN[/tex]

[tex]LMN = 6.3 + 7.85[/tex]

[tex]LMN = 14.15[/tex]

Answer:

D

Step-by-step explanation:

14.2

Answer:

48(3xy)

Step-by-step explanation:

(4 * 2 * 3)(3xy)2

24(3xy)2

48(3xy)

Answer:

You need to use sohcahtoa

C.

cos(45)=x/[tex]8\sqrt{2}[/tex]

x=8

A.

x= 8 its an isosceles so c=a

B.

sin(30)=8/x

x= 16

D.

cos(30)=x/16

x=8[tex]\sqrt{3}[/tex]

Answer:

Step-by-step explanation:

So first we need to find out what y% of 22 would be,

y% * 22

0.001y*22

= 0.22y

0.22y is equaled to y% of 22. Now we have to subtract 22 by the y%.

Therefore,

22-y%*22

which is:

22-0.22y!

Cheers! I hope you understand the problem now.

Answer:

Step-by-step explanation:

1kg=1000

Answer:

-5 and 2

-3 and 0

-2 and -1

...gives -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-5,2), (-2,-1), (-3,0)

all pairs add up to -3

Answer:

A

Step-by-step explanation:

Given the 2 equations

2x + y = - 5 → (1)

- x + 3y = 6 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the x- term

- 2x + 6y = 12 → (3)

Add (1) and (3) term by term to eliminate x

0 + 7y = 7

7y = 7 ( divide both sides by 7 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 1 = - 5 ( subtract 1 from both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

solution is (- 3, 1 ) → A

Answer:

B

Step-by-step explanation:

Volume = Volume of cylinder + Volume of semi sphere

= pi*r^2*h+(2/3)*pi*r^3

=pi*(4*12+16/3)=pi*53.3

I'm guessing the power series given is

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1}\frac{(x-8)^n}{8^n}[/tex]

which you can condense somewhat into

[tex]\displaystyle -\sum_{n=1}^\infty \left(\frac{8-x}8\right)^n[/tex]

You should recognize this as a geometric series, which converges for

[tex]\left|\dfrac{8-x}8\right|<1 \implies |8-x|<8 \implies \boxed{0 < x < 16}[/tex]

Hi there!

Looking at the graph, the first intersection point is clear. The red parabola and  blue line clearing intersect at the point (0, -1).

Find the second intersection point by setting the equations of both graphs equal to each other.

Line: y = 3x - 1

Parabola: y = 4x² - 1

Find another intersection point by setting these two equations equal to each other:

4x² - 1 = 3x - 1

Bring all terms onto one side:

4x² - 3x = 0

Factor out x:

x(4x - 3) = 0

Set 4x - 3 to 0 and solve:

4x - 3 = 0

4x = 3

x = 3/4

Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:

y = 3(3/4) - 1

y = 9/4 - 1

y = 5/4

(3/4, 5/4)

Answer:

a₁₉ = 99

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = 5 , then

a₁₉ = 9 + (18 × 5) = 9 + 90 = 99

The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2

Given an AP series

First term(a) = 9

Common difference (d) = 5

The nth term is given by

⇒ a + (n - 1)d

So,

19th term = 9 + (19-1)5

⇒ 99

Hence "The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99".

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Answer:

1/2 x^4 +x^3 +8

Step-by-step explanation:

Standard form means highest power of x to lowest power of x

1/2 x^4 +x^3 +8

does it give the answer choice or is it a blank space?