7. As x increases without bound, which of the following eventually has greater function values than all the others for the same value of z?
A. f(x) = 3x^2
B. f() = 2x ^3
C. f(x)3(2)
D. f(x) = 3x + 2

Given:

The figure of a right angle triangle.

To find:

The value of y.

Solution:

If a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In the given right triangle,

[tex]\cos (30^\circ)=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\sqrt{3}\times y=2\times 4\sqrt{3}[/tex]

[tex]\sqrt{3}\times y=8\sqrt{3}[/tex]

Isolate the y variable.

[tex]y=\dfrac{8\sqrt{3}}{\sqrt{3}}[/tex]

[tex]y=8[/tex]

Therefore, the value of y is 8.

Answer:

7.) 7

10.)  0

Step-by-step explanation:

When it means "evaluate the function", it's in essence asking us to see what the function spits out when we feed it a certain input. Our inputs are our x values, which spit out a y value.

Evaluating the function when x = 1:

Let's look at where the function has an x value of 1. We see it near the bottom of the table and see the y value associated with the input is 7. So when the function is fed 1 as an input, it spits out 7.

Evaluating the function when f(x) = - 2:

This one is a weird because of the new notation. Just think of it as some value of f, which we don't know (so we represent it as an x-variable) must equal -2. So let's look at our table to find out where our output is -2. We find that when f(x) = -2 the input is 0. So the input which gives -2 is 0.

Step-by-step explanation:

xd?isjdueueoowollw lqnsks

Answer:

Step-by-step explanation:

I believe Brandon is incorrect. a > 12 means that you have to be older than 12 to use the gym but that is not true. You have to be at least 12 years old. This means you can be 12 and still go to the gym. You can represent this by using the expression a > 12.

Answer:

djdjfjfjfhfhfhd ch fmdknfrus M dnqjw

Answer:

(-1,2)

follow me

follow me

Answer:

$24000

Step-by-step explanation:

so we can make an algebraic equation with these values

21000=7/8x

divide both sides by 7

3000=1/8x

multiply both sides by 8

x=24000

Answer:

Step-by-step explanation:

if 15 out of 60 markers are blue

the percentage is 15/60=1/4

0.25*100=25%

Answer:

Rational.

Step-by-step explanation:

Since it can be put into a fraction, negative or positive it is clearly rational. Irrational numbers are numbers we can never know the true value because they repeat forever (pi for example)

Answer:

rational number

Step-by-step explanation:

hope this helps...yo

Answer:

12√2

7√3

Step-by-step explanation:

The length of the hypotenuse of a 45°-45°-90° triangle with a leg of 12 is 12√2 and the length of longer leg is 7√3 for 30°-60°-90° triangle.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Ratio of the sides of a 45°-45°-90° triangle is 1 : 1 : √2.

That is,

If sides opposite to 45° = x, then the side opposite to 90° = √2 x

That is, length of the hypotenuse = √2 x

Given length of a leg = 12

Length of the hypotenuse = √2 × 12 = 12√2.

Ratio of the length of sides of 30°-60°-90° triangle is 1 : √3 : 2.

That is,

Length of side opposite to 30° = x

Length of side opposite to 60° = √3 x

Length of side opposite to 90° = 2x  (Hypotenuse)

We have to find the longer leg, that is √3 x.

Length of hypotenuse = 14

2x = 14 ⇒ x = 7

Length of longer leg = 7√3

Hence the lengths are 12√2 and 7√3.

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9514 1404 393

Answer:

  y = -3/2x +4

Step-by-step explanation:

The line crosses the y-axis at y = 4. The coordinates of that point are (0, 4). This is the "start."

The line crosses a grid intersection again 2 units to the right and 3 units down at the point (2, 1).

The slope is the ratio of the vertical change to the horizontal change:

  m = -3/2

Now, you have the information required to fill in the equation:

  y = -3/2x +4

Answer:

$37.00

Step-by-step explanation:

7x5=35

35+2= 37

now I want some tacos XD

Answer:

Travis spent $37.00 at the taco store

Step-by-step explanation:

5x$7=$35.00

$35+$2=$37.00

Answer:

8 remainder 4

Answer: it weighs 1.3lbs and i dont know how to explain it

Answer:

3x+2-10-3x

Terms: ONE b/c 3x +2-10-3x

3x-3x+2-10

-8

Like terms:3x and 3x

Coefficient:3

Constant:2 and -10

hope it's helpful ❤❤❤

THANK YOU.

❤

Answer:

y = -x + 2

Step-by-step explanation:

The slope is negative, so you can immediately eliminate all other options. The line travels down 2 y and over 2 x, -2/2 is simplified down to -1x or -x.

The geometric series that converges is II. 0.3 + 0.12 + 0.048 + 0.0192 ( Option A).

To determine whether a geometric series converges, we need to check if the common ratio (r) of the series lies between -1 and 1 (inclusive). If the absolute value of r is less than 1, the series converges; otherwise, it diverges.

Let's check each series:

I. 2.9 - 3.19 + 3.509 - 3.8599

To find the common ratio, we divide each term by the previous term:

r = (-3.19) / 2.9 ≈ -1.1 (diverges)

II. 0.3 + 0.12 + 0.048 + 0.0192

To find the common ratio, we divide each term by the previous term:

r = 0.12 / 0.3 = 0.4 (converges)

III. 4 - 16 + 64 - 256

To find the common ratio, we divide each term by the previous term:

r = -16 / 4 = -4 (diverges)

So, the convergent geometric series is II. 0.3 + 0.12 + 0.048 + 0.0192.

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Answer:

523

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.

5.23 x [tex]10^{2}[/tex]

Scientific Notation: 5.23 x [tex]10^{2}[/tex]

Expanded Form: 523

good luck, hope this helps :)

you need to get the denominators to be the same

The closest one for both is 30

27/30 + 25/30 = 52/30

Simplify to get [tex]1 \frac{11}{15}[/tex]

Sum of [tex]\frac{9}{10}[/tex] and [tex]\frac{5}{6}[/tex] is equal to [tex]\boldsymbol{\frac{26}{15}}[/tex].

A summation, also known as a sum, is the outcome of adding numbers or quantities arithmetically. A summation always has an even number of terms.

Summation is the adding of a series of numbers known as addends or summands; the result is their sum or total.

Sum of [tex]\frac{9}{10}[/tex] and [tex]\frac{5}{6}[/tex] [tex]=\frac{9}{10} +\frac{5}{6}[/tex]

                          [tex]=\frac{27+25}{30}\\\\ =\frac{52}{30}\\\\ =\frac{26}{15}[/tex]

Therefore, sum of [tex]\frac{9}{10}[/tex] and [tex]\frac{5}{6}[/tex] is equal to [tex]\boldsymbol{\frac{26}{15}}[/tex]

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Answer:

11.5

Step-by-step explanation: Since there is 1.15 land miles in one nautical mile you multiply 1.15 by 10 to find how many land miles are in 10 nautical miles.

The number of land miles there in 10 nautical miles will be 11.5.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.

If and only if the number being multiplied is more than one, multiplication produces a resultant number that is significantly larger than the original number.

As per the given,

One nautical mile = 1.15 land miles

In 10 nautical miles = 1.15 x 10 = 11.5 land miles

Hence "The number of land miles there in 10 nautical miles will be 11.5".

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Answer:

x=80

Step-by-step explanation:

80 pounds of fertilizer will cover 120 square feet of lawn. :]

Answer:

x=80

Step-by-step explanation:

this is the answer am i right

Answer:

26/21 = 1 5/20 = 4

Answer:

26/21

Step-by-step explanation:

Answer:

the answer is 42.

Step-by-step explanation:

(8)(5)−8+(2)(5)

=42

Answer:

1: 42

2: 107.6 °F

Step-by-step explanation:

For question 1 you insert the x and y values into the expression:

8 × 5 = 40 (xy = 40)

40 - 8 = 32 (xy - x = 32)

2 × 5 = 10 (2y = 10)

32 + 10 = 42 (xy - x + 2y = 42)

For question two you insert the celsius value into the expression:

9/5 × 42 = 75.6 (9/5C = 75.6)

75.6 + 32 = 107.6 (9/5C + 32 = 107.6)

Answer:

2.5x = 75

Step-by-step explanation:

Answer:

[tex] \frac { 5\sqrt{21} }{ - 7} [/tex]

Step-by-step explanation:

Firstly, let find some some other trig functions. We need to know all sides to know other trig functions. We know the horizontal side is -7 because it x-axis is at -7, it y-axis is at 24. so it vertical side is 24. Then we use the pythagorean theorem to find r

[tex] {7}^{2} + {24}^{2} = {r}^{2} [/tex]

49+576=

[tex] {c}^{2} [/tex]

525=c^2

[tex] \sqrt{525} = 5 \sqrt{21} [/tex]

So since we know that x= -7, y=24, r= 5 times sqr root of 21. We can find some trig functions. We can use function cosine here. Cosine equals

[tex] \frac{x}{r} [/tex]

cos=

[tex] \frac{ - 7}{5 \sqrt{21} } [/tex]

then we find secant which is the reciprocal of cos so we flip the numbers and that equals

[tex] \frac{5 \sqrt{21} }{ - 7} [/tex]

Answer: there parallel