Evaluate the following expressions:
1. 5(a+2b)-3b

Answer:

A

Step-by-step explanation:

Answer:

The answer would be A. Hope this Helps! :)

Step-by-step explanation:

Answer:

potential to kinetic energy

If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians

Inverse of a function are the opposite of the function. Given the inverse of cosine function as shown:

[tex]cos^{-1}x[/tex]

If x = 0, hence;

[tex]cos^{-1}{0[/tex]

If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians

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Answer:

[tex]\huge\boxed{\bf\:Ratio = 4:5}[/tex]

Step-by-step explanation:

We have a right angled triangle given.

At first, let's note that, sin θ = oppposite side of the triangle / hypotenuse of the triangle.

Now, in the given triangle, from the view of ∠θ,

Then,

[tex]\sin \theta = \mathrm{\frac{opposite \: side}{hypotenuse}}\\\sin\theta = \frac{8}{10}\\\sin\theta = \frac{4}{5}\\\\\\\Longrightarrow \boxed{\mathrm{Ratio = 4:5}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

This is less chocolate ice cream per cup of milk than in the first mixture (2 scoops of chocolate ice cream per cup of milk), so the first mixture has stronger chocolate flavor. 2 scoops of chocolate ice cream with 1 cup of milk will taste the same as 4 scoops of chocolate ice cream with 2 cups of milk.

Step-by-step explanation:

Answer:

If you did 3 scoops of ice-cream and 2 cups of milk you would have 2times the amount of milk and only 1 1/2 times the amount of ice-cream then if you did 1 cup of milk and 2 scoops of ice-cream.

Step-by-step explanation:

To solve this question, we will have to use the aspect of mathematics that is referred to as rates or proportions.

In the first mix, what we have is that we are going to mix 2 scoops of chocolate ice cream with 1 cup of milk. What is noticeable here is that we have 2 scoops of chocolate per 1 cup of milk or there is a 2 to 1 ratio of chocolate ice cream to cup of milk.

Now in the second mix, we are mixing 3 scoops of chocolate with 2 scoops of milk. What we have here is a ratio of 3 to 2. This means that we are having a ratio of 1.5 to 1 of the number of scoops of chocolate ice cream to number of cups of milk.

Looking at this, we can deduce that a 2 to 1 ratio is a greater value compared to a 1.5 to 1 ratio. This is the reason why we are having a stronger chocolate flavor in the first mix than the chocolate flavor in the second mix

Answer:

See below ~

Step-by-step explanation:

Part 1 - Acceleration when t = 3

Part 2 - Deceleration when t = 12

Part 3 - Total Distance Covered

    2. From t = 4 to t = 8

    3. From t = 8 to t = 15

Total distance = 66 + 88 + 77 = 231 m

Part 4 - Average Speed

    2. Avg. Speed (t = 4 to t = 8)

    3. Avg. Speed (t = 8 to t = 15)

Average Speed = 16.5 + 22 + 11 / 3

Answer:

44ft^2

Step-by-step explanation:

Break the shape into 3 rectangles, two 3 by 2's and one 4 by 8. (Get 4 by subtracting 3 from 7 for the left and right most side)

3 x 2 = 6 ft^2

since there's two rectangles you end up 6 + 6 so you get 12 ft^2

then 4 x 8 = 32 ft^2

add 32 and 12, get 44 ft^2

width= area /length

width= 192/60

Width= 3.2 inches

Answer:

36 is the width.

Step-by-step explanation:

A rectangle has four sides.

So the equation should be:

60+60+?+?= 192.

In order to cancel out the two 60s, you subtract it from 192.

So,

?+?=72.

The sides opposite of a rectangle is congruent, thus,

72/2=36.

The width of the rectangular banner is 36, and to check the answer you just plug all the digits in.

60+60+36+36=192.

Hopefully this helped!

Answer:

(17,-1)

Step-by-step explanation:

The solution in the image

Answer:

second one

Step-by-step explanation:

The experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A computer generates 50 integers from 1 to 8 at random.

Total number of outcomes = 5+8+9+7+4+6+5+6  = 50

Computer generating a 2 = 8

Computer generating a 4 = 7

P(computer generating a 2) = 8/50

P(computer generating a 4) = 7/50

P(computer generating a 2 or a 4) = 8/50 + 7/50 = 15/50 or

= 0.3×100

= 30%

Thus, the experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

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Answer:

88.0 in^3 to nearest tenth.

Step-by-step explanation:

The radius = 1/2 diameter

= 11/2 * 4 = 2 ins,

The Volume = πr^2 h

= π * 2^2 * 7

= 87.96 in^3.

Answer:

87.9 in³ OR 88.0 in³

Step-by-step explanation:

Concepts

The volume of a cylinder is [tex]\pi r^2h[/tex], where r = radius and h = height.

The radius is twice the diameter.

Application

We are given the diameter as 4 inches, so the radius is 2 inches. The height of the cylinder is 7 inches. Now, we just apply our aforementioned formula and plug in its values of r and h. Since I don't know if you're using pi as 3.14 or just using the exact value of pi, I have provided two different answers at the top.

Solution

1:

2:

Answer:

Option c, G(x) = 12x

Step-by-step explanation:

Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1

In the equation f(x) = mx, the m is acting as the vertical stretch or compression of the identity function.

- f(x) = x by m vertically stretches the graph of f by a factor of m units if

m > 1

- vertically compresses the graph of f by a factor of m units if

0 < m < 1.

This means the larger the absolute value of m, the steeper the slope.

Answer:

Here, the parent should pass through the origin, which is through the coordinate (0,0).

The only function that passes through this (0,0) point and is vertically stretched is only valid is:

y = 12x

Answer:

Step-by-step explanation:

[tex]P = 56,150(1 + \frac{0.095}{4})^{ 4(2.5)[/tex]

≈ $71005

£3.50 for each burger

3.50×4= 14 left over is 6 from the 20 pound note

Answer:

A. (0,-3) the other possible anser is (2,1) but that's not an option

The experimental probability that the next train to pull in will be full is [tex]\rm \frac{4}{5}[/tex]. Probability is the ratio of the favorable event to the total number of events.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The experimental probability that the next train to pull in will be full is found as;

[tex]\rm P= \frac{Favourable}{Total \ outcomes } \\\\\ P(full)= \frac{16}{16+4} \\\\\ P(full)=\frac{16}{20} \\\\ P(full)= \frac{4}{5}[/tex]

Hence, the  experimental probability that the next train to pull in will be full is [tex]\rm \frac{4}{5}[/tex].

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The area of the poster will be 0.68 m². The number of unit squares that cover the surface of a closed-form is the figure's area.

The space filled by a flat form or the surface of an item is known as the area. Square centimeters and other similar units are used to measure area.

Given data;

Height of mom in the photo = 3 inches

Real size of photo=66 inches

Area of the photo = 15 square inches

Where x is the area of the poster, the following proportions might be used to predict how much paper Jermaine will pay for:

Area = width × length

[tex]\frac{Real \ size }{Photo \ size} =\frac{Real \ area}{Photo \ area } \\\\ \frac{66}{3} =\frac{15}{x} \\\ x=0.68 \ m^2[/tex]

Hence,the area of the poster will be 0.68 m².

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Answer:

C

Step-by-step explanation:

The number line in option C contains the points -4, -1, 1 and 2 correctly plotted.

the answer is c :) lol it's the correct one I think

Answer: 60

Step-by-step explanation:

See

Hence

m<COB=60°

The total percentage by which Jan's groceries were discounted is 16.65% approximately. (Option C). See the attached and the explanation below.

Step 1 - Reverse engineer, the figures to get the original prices first.

Step 2 - Sum up all the discounted prices as well as the Original prices then find the difference.

Step 3 - Divide the difference by the original price to get the percentage difference

$3.75/$22.47 = 16.68% (Nearest answer is Option C)

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The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.

The model, which represent the cost of window in dollar, is,

C=(n²/5)+175

A window costs $355. Thus, C=355. Put this value in above model as,

355=(n²/5)+175

355-175=(n²/5)

180 x 5=n²

n=√(900)

n=30

Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

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Answer:

its D

Step-by-step explanation:

i did the math ez

Answer:

C) ∠V , ∠U , ∠W

Step-by-step explanation:

The smallest angle is opposite to the smallest side.

Sides in ascending order:  WU <  VW < UV

Answer:

$11.40

Step-by-step explanation:

Subtract the bookmark from the total amount

82.00 - 2.20 = 79.80

Divide the answer by how many books you purchased

79.80/7

= ($11.40)

The answer is 1400, good luck

Let's apply BPT theorem(Not necessary we can apply common ratios and similarities)

Put values

Option B

Let's solve it out

Answer:

A-B = {2,8,10]

this is the correct answer

i hope my answer was helpful to you

Answer:

vertical asymptotes is x = -2 and x = 1

Step-by-step explanation:

For rational functions, the vertical asymptotes are the undefined points, also known as the zeros of the denominator (below the line), of the simplified function.

This means [tex]-4x^{2} - 4x + 8[/tex] is equal to zero than solve

*image below*

Hope it helps :)

Let me know if you have any questions or anymore help lmk, happy to help with any school work!!

We are give with the function:

[tex]{\quad \qquad \longrightarrow f(x)=\dfrac{x^{2}+x-12}{-4x^{2}-4x+8}}[/tex]

Vertical asymptotes are the points, where the function is not defined, so the denominator must be equal to 0 for making f(x) not defined

[tex]{:\implies \quad \sf -4x^{2}-4x+8=0}[/tex]

Dividing both sides by -4, we have;

[tex]{:\implies \quad \sf x^{2}+x-2=0}[/tex]

Can be further written as:

[tex]{:\implies \quad \sf x^{2}-x+2x-2=0}[/tex]

[tex]{:\implies \quad \sf x(x-1)+2(x-1)=0}[/tex]

[tex]{:\implies \quad \sf (x-1)(x+2)=0}[/tex]

Using zero product rule, Equating both multiplicants to 0, we have:

[tex]{:\implies \quad \boxed{\bf{x=1\quad or\quad -2}}}[/tex]

This is the required answer

Answer:

x=1.531128874 or x=-6.531128874

Step-by-step explanation: