(6v+2)(6v+5)(3w - 2)

Answer:

I am so confused I don't know how to answer this.

The missing side in the given triangle is x = √193 km

The Pythagoras theorem is expressed as;

x^2 = a^2 + b^2

where

x is the longest side

Substitute the given side

x^2 = 12^2 + 7^2

x^2 = 144 + 49

x = √193 km

Hence the missing side in the given triangle is x = √193 km

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Answer:

Mr. Holloway visited 20 booths in total.

Step-by-step explanation:

Mr. Holloway has already visited 5 booths for the new Marvel Legends exhibit.

a.

Due to the lines, he can only make it to 3 booths per hour. Let's call h the number of hours and b the total number of booths he visits.

The model consists of a fixed amount (the booths already visited), and a variable amount (the booths he visits per hour), thus the function is constructed as:

b = 5 + 3h

b.

Now we find the total booths he visited for h=5 hours:

b = 5 + 3*5

b = 5 + 15

b = 20

Mr. Holloway visited 20 booths in total.

the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

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Answer: \(y=-\frac{4}{5}x-\frac{8}{5}\)

Step-by-step explanation:

Using the points (-2, 0) and (3, -4), the slope is \(\frac{-4-0}{3-(-2)}=-\frac{4}{5}\).

So, the equation is:

\(y+4=-\frac{4}{5}(x-3)\\\\y+4=-\frac{4}{5}x+\frac{12}{5}\\\\y=-\frac{4}{5}x-\frac{8}{5}\)

Answer: length = 8cm

Width = 4cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x

Note that, Area of a rectangle = Length × Width

Therefore,

2x × x = 32

2x² = 32

Divide both side by 2

2x²/2 = 32/2

x² = 16

x = ✓16

x = 4

Therefore, width = 4cm

Since length = 2x

Length = 2 × 4cm = 8cm

Check: length × width = Area

8cm × 4cm = 32cm²

The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that number is x,

Quotients of 20 and x will be given as 20/x

20/x - 4 = 0

20/x = 4

x = 20/4 = 5

Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".

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The simplified expression for the difference in the area of circle A and B is 12π/(x+2)²

A circle is simply a round shape that has no corners or line segments. The area of a circle is expressed as;

A = πr²

The circumference of a circle = 2πr

for circle A;

8π/x+2 = 2πr

r = 8π/x+2 × 1/2π

r = 4/x+2

area = πr² = (4/x+2)²π

for circle B

4π/x+2 = 2πr

r = 4π/x+2 × 1/2π

r = 2/2x+2

area =( 2/2x+2)²π

difference = (4/x+2)²π - ( 2/x+2)²π

= π/(x+2)²( 4²-2²)

= π/(x+2)²(16-4)

= 12π/(x+2)²

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Answer:

42

Step-by-step explanation:

Uh, I'm guessing what is being asked here is to solve, so, time to distribute.

(6 - 2.5)(8 + 4)

48 + 24 - 20 - 10

42

Answer:

3,060

Step-by-step explanation:

Multiply the mass value x 1000

3.06 x 1000= 3,030

There are 3060 milligram in 3.06 grams.

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

We have to given that;

The number is,

⇒ 3.06 grams

Since, We know that;

1 gram = 1000 milligrams

Hence, We get;

⇒ 3.06 grams = 3.06 x 1000 milligrams

                      = 3060 milligrams

Thus, There are 3060 milligram in 3.06 grams.

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Standard Deviation for given set of data is 0.25634797778466.

What is standard deviation?

Given that,

Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1

Count, N: 8

Sum, submission x: 97.6

Mean, x: 12.2

Variance, s2:  0.065714285714286

s^2 = Σ(xi - x)^2/N - 1

= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1

= 0.46/7

=  0.065714285714286

s =  √0.065714285714286

=  0.25634797778466

Standard Deviation for given set of data is 0.25634797778466.

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Answer:

If Zaira spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.

Answer:

Assuming that the spinner is fair (i.e., each color has an equal chance of being landed on), we can find the best prediction for the number of times the spinner will not land on yellow by using probability.

There are 6 colors on the spinner, so the probability of the spinner landing on yellow is 1/6. The probability of the spinner not landing on yellow is therefore:

1 - 1/6 = 5/6

This means that for each spin of the spinner, there is a 5/6 probability that it will not land on yellow. If we spin the spinner 55 times, we can expect the number of times it will not land on yellow to be:

55 x 5/6 = 45.83

However, since we cannot have a fractional number of spins, we need to round to the nearest whole number. The best prediction for the number of times the spinner will not land on yellow is therefore 46.

While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero

The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.

The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.

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The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

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To find the percent of change, we need to calculate the difference between the original price and the new price, and then divide this difference by the original price and multiply by 100%.

The difference between the original price of $20 and the new price of $55 is $55 - $20 = $35.

The percent of change is: ($35/$20) * 100% = 1.75 * 100% = 175%

Since the new price is higher than the original price, this is an increase. Therefore, the percent of change is a 175% increase. The correct answer is therefore

O 175% increase.

The given function is continuous at  x = 3,  RHL = LHL = F(2)

In mathematics, The function is called as continuous at the particular value of x,  if right hand limit, left hand limit and the value of function at x all are equal.

RHL   = LHL  = F(x)

Limit exist and continuous

Given that,

F(x)  =  (x²-9)/(x² - x -6)(x² + 6x +9)

To check whether it is continuous at x = 2

First taking LHL,

\(\lim_{h \to \ 0}\)  ((2-h)²-9)/((2-h)² - (2-h) -6)((2-h)² + 6(2-h) +9)

⇒  -5/(-4x25)

⇒   1/20

Now, taking RHL

\(\lim_{h \to \ 0}\)  ((2+h)²-9)/((2+h)² - (2+h) -6)((2+h)² + 6(2+h) +9)

⇒  -5/(-4x25)

⇒   1/20

The value at x = 3

F(3)  =   ((2)²-9)/((2)² - (2) -6)((2)² + 6(2) +9)

       =  -5/(-4x25)

       =   1/20

Hence Proved,   RHL = LHL = F(2)

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Answer:

38

Step-by-step explanation:

119.32/3.14 since 3.14 is pi and c=pi*d

Answer:

d≈37.98

Step-by-step explanation:

C=2πr

d=2r

Solving for d

d=C

π=119.32

π≈37.98074

Answer:

6/2 or 3

Step-by-step explanation:

First make 6/1 time 1/2

then mulitpy tp and bottom

6/2 simiply and that's it!

It should be 3!

To find a percentage of a given quantity, we multiply our quantity by the percentage and divide by 100. After the raise, Jeleeza's salary will be 105% of the value it was previously(the previous value plus 5%), then, to find the actual value we just need to multiply her salary by 105 and divide by 100.

She is making $8.4 now.

Answer:

1) \(\dfrac78\)

2) \(\dfrac{17}{12} = 1 \frac{5}{12}\)

3) \(\dfrac{53}{12}=4 \frac{5}{12}\)

Step-by-step explanation:

1)

\(\dfrac38+\dfrac12=\dfrac38+\dfrac{1 \times4}{2 \times 4}=\dfrac38+\dfrac48=\dfrac78\)

2)

\(\dfrac23+\dfrac34=\dfrac{2 \times 4}{3 \times 4}+\dfrac{3 \times3}{4 \times3}=\dfrac8{12}+\dfrac{9}{12}=\dfrac{17}{12}=1 \frac{5}{12}\)

3)

First convert mixed number into improper fraction:

\(4 \frac23=\dfrac{3\times4+2}{3}=\dfrac{14}{3}\)

\(\implies 4 \frac23-\dfrac{3}{12}=\dfrac{14}{3}-\dfrac{3}{12}=\dfrac{14\times4}{3\times4}-\dfrac{3}{12}=\dfrac{56}{12}-\dfrac{3}{12}=\dfrac{53}{12}=4 \frac{5}{12}\)

Answer: A.

Step-by-step explanation: we just need to distribute and see that the only plausible answer is a because when distributed it equals 3x=6

As given by the question

There are given that the equation

Now,

The graph of the line is given below:

9514 1404 393

Answer:

  22 cm

Step-by-step explanation:

The lateral area is the product of the perimeter and the height. The perimeter is the sum of side lengths.

  P = a+b+c = (2 +6 +7) cm = 15 cm

  LA = Ph

  330 cm^2 = (15 cm)h . . . fill in the known values

  h = (330 cm^2)/(15 cm) = 22 cm

The height of the prism is 22 cm.

Answer:

D- $12.36

Step-by-step explanation:

Answer:

$12.36

Step-by-step explanation:

I got it wright in edge 2020