Which compound inequality is represented by the graph?

Answer:

true

Step-by-step explanation:

Answer: True

Step-by-step explanation:

[tex]\tan ^2\left(x\right)\cos ^2\left(x\right)=1-\cos ^2\left(x\right)[/tex]

[tex]\mathrm{Manipulating\:left\:side}[/tex]

[tex]\tan ^2\left(x\right)\cos ^2\left(x\right)[/tex]

[tex]\mathrm{Use \ the \ basic \ trigonometric \ identity \ \:tan\left(x\right)=\frac{sin\left(x\right)}{cos\left(x\right)}}[/tex]

[tex]=\cos ^2\left(x\right)\left(\frac{\sin \left(x\right)}{\cos \left(x\right)}\right)^2[/tex]

[tex]=\frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}\cos ^2\left(x\right)[/tex]

[tex]=\frac{\sin ^2\left(x\right)\cos ^2\left(x\right)}{\cos ^2\left(x\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:\cos ^2\left(x\right)[/tex]

[tex]=\sin ^2\left(x\right)[/tex]

[tex]\mathrm{Use \ the \ Pythagorean \ identity \ \cos ^2\left(x\right)-\sin ^2\left(x\right)=1 \rightarrow \sin ^2\left(x\right)=1-\cos ^2\left(x\right)}}[/tex]

[tex]=1-\cos ^2\left(x\right)[/tex]

[tex]1-\cos ^2\left(x\right) =1-\cos ^2\left(x\right)[/tex]

Left side = right side

Therefore, the identity is true

Answer:

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Step-by-step explanation:

Given:

Perimeter of ∆ = 27 cm

Side lengths of ∆: x, 2x, and 3x - 3

Required:

Measure of the shortest side and measure of the longest side.

SOLUTION:

Sum of all sides of the ∆ = Perimeter

[tex] x + 2x + (3x - 3) = 27 [/tex]

Solve for x

[tex] x + 2x + 3x - 3 = 27 [/tex]

Collect like terms

[tex] 6x - 3 = 27 [/tex]

Add 3 to both sides

[tex] 6x = 27 + 3 [/tex]

[tex] 6x = 30 [/tex]

Divide both sides by 6

[tex] x = \frac{30}{6} [/tex]

[tex] x = 5 [/tex]

Length of each side of the ∆:

x = 5 cm

2x = 2(5) = 10 cm

3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Answer:

free points or nah if not its A

The mean and median of the data(weight of trash in pounds for given years) given in the table is evaluated as:

Mean is the ratio of sum of the observations to the total number of observations.

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

For the given case, the data observations are:

3.25, 3.25, 3.66, 3.83, 4.57, 4.52, 4.74, 4.69, 4.44 (they are measurement of pounds of trash for specified years(in the problem statement) )

They are total 9 observations.

Their sum is 36.95 approx.

Thus, mean of this data set = sum/number of observations [tex]\approx 36.95/9 \approx 4.1[/tex]

Arranging the data in ascending order gives

3.25, 3.25, 3.66, 3.83, 4.44, 4.52, 4.57, 4.69, 4.74

There are 9 values, therefore, the fifth value would be median as to its left and to its right will lie four-four observations.

Thus, median of the data set = 4.44

Therefore, the mean and median of the data(weight of trash in pounds for given years) given in the table is evaluated as:

Learn more about mean and median here:

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Answer:

Step-by-step explanation:

A radian is denoted by rad and it's the standard unit that is used for the measurement of angles.

Your information is incomplete. Therefore, an overview of radians will be given. Radian is the standard unit for angular measurement.

A radian is a unit of measure for angles which is based on the radius of circles. The formula used for radians is simply put as:

= (Degrees × π) / 180°

For example 60° will be:

= (60° × π) / 180°

= π/3

Therefore, 60° converted to radians is π/3.

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Answer: it’s $305,000

Step-by-step explanation:

correct on ED2022

Answer:

B

Step-by-step explanation:

I just got it right

Step-by-step explanation:

1.

(80-4)²÷8

(76)²÷8

5776÷8

722

2.

92.3-(3.2÷0.4)*2³

92.3-8*2³

92.3-8*8

92.3-64

28.3

3.

[(2³*2.5÷1/2)]+120

(8*5)+120

40+120

160

4.

(2*10⁰)÷1/3+8

(2*1)÷1/3+8

2÷1/3+8

6+8

14

Wishing Success

Option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]

It is given that logarithm expression is  [tex]\rm log3(x+4)[/tex]

It is required to simplify the above equation.

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b=c\\\rm log_ac=b[/tex]

We have logarithm expression:

[tex]\rm log3(x+4)[/tex]

We know the log property that we can split a logarithm into two logarithms if it contains the product of two numbers ie.

[tex]\rm logxy=logx+logy[/tex]

By using this property we get:

[tex]\rm =log3(x+4)\\\rm = log3+log(x+4)[/tex]

Because 3 and (x+4) are two different numbers, not (x+4).

Thus, option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]

Learn more about the Logarithm here:

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Answer:

Step-by-step explanation:

optin three is the answer i have took the test                                                     (Which expression is equivalent to log3(x + 4)?

log3 – log(x + 4)

log12 + logx

log3 + log(x + 4)

StartFraction log 3 Over log (x + 4) EndFraction)

Answer:

Average rate of change = -4

Step-by-step explanation:

Given:

f(x) = x² + 7x + 10

-8 ≤ x ≤ -3 or [-8, -3] in interval notation

Average rate of change of the function can be solved using the formula:

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( b \right) -f \left( a \right) }{ b-a }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ -3 - (-8) }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ -3 + 8 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ 5 }[/tex]

Substitute x = -3 to the given function for f(-3) and x = -8 for f(-8)

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ 5 }[/tex][tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ { \left[( -3 \right) }^{ 2 } +7 \left( -3 \right) +10]- { \left[( -8 \right) }^{ 2 } +7 \left( -8 \right) +10] }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ [9-21+10]-[64-56+10] }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ [-2]-[18] }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ - 20 }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = {-4 }[/tex]

Answer:

x=12

Step-by-step explanation:

AB/FE=BC/EC

x/6= 5+5/5

x/6=10/5

x=6(2)

x=12

~

Answer:

$13,000

Step-by-step explanation:

Given:

Seema bought a refrigerator for {14300 including a GST of 10%.

To FInd:

The price of the refrigerator before GST was added is

Solve:

[tex]\\[/tex]100/100+10×14300

=100/110×14300

=$13,000

Hence, The price of the refrigerator before GST was added is $13,000.

~Learn with Lenvy~

Answer:

Associative Property of Multiplication

Step-by-step explanation:

Even though the Associative Property usually means adding or subtracting, under these circumstances, it can be used with multiplication.

Answer: variables

Letters can represent any number, therefore it varies, thus the name “variable”

Answer:

my anawer na po eh 19 marong gento=eh

Answer:

10/21

It cant be broken down anymore so it is simplified!

Have a great day!!

Please rate and mark brainliest!!

Answer:

Total = m + j

= 3 + m + 21

Step-by-step explanation:

Mails = 3 miles

Jared = 3 miles + 21 miles

j = m + 21

m = 3

Total = m + j

= 3 + m + 21

Where,

m = 3

Total = 3 + m + 21

= 3 + 3 + 21

= 27

Answer:

nonlinear

Step-by-step explanation:

[tex]x(x + 3) = {x}^{2} + 3 \\ \: it \: will \: be \: a \: parabola \: because \: of \: the \: {x}^{2} [/tex]

Answer:

12.5%

Step-by-step explanation:

40000-35000=5000

5000/40000*100=12.5%

the answer to this question is is 12.5%.

Answer:

b=8.9m

Step-by-step explanation:

you would need to use Pythagoras theorem

a²+b²=c²

as we know c=9m and a=1.5m we need to find b so you would have to rearrange the equation

b²=c²-a²

b²=9²-1.5²

b²=81-2.25

b²=78.75

b=√78.75

b= 8.9m (1DP)

The annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

[tex]I=\dfrac{PRT}{100}[/tex]

Here, (I) is the interest amount on the principal amount of (P) with the rate of (r) in the time period of (t).

Xavier opened a savings account with a deposit of $12,000. At the end of 3 years, the account balance was $12,324.

The principal amount is $12000 and the total amount is $12324. Thus, the interest earned by the Xavier is,

[tex]I=12324-12000\\I=324[/tex]

Total time period is 3 years and the account earned simple interest. Thus, put these values in the above formula as,

[tex]324=\dfrac{(12000)R(3)}{100}\\R=\dfrac{32400}{12000\times3}\\R=9\%[/tex]

Hence, the annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

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Answer:

X=20

24-x=24-20=4

Step-by-step explanation:

First number (greater number)= X=20

Second number = 24-x =24-20=4

Given:

The function is

[tex]f(x)=x^3-7x^2+10x[/tex]

To find:

The end behavior of its graph.

Solution:

We have,

[tex]f(x)=x^3-7x^2+10x[/tex]

Here, leading coefficient is 1 which is positive and degree of function is 3 which is odd.

For odd degree and positive leading coefficient, the end behavior is

[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

Using this, we get

[tex]\text{As }x\to \infty, y\to \infty[/tex]

[tex]\text{As }x\to -\infty, y\to -\infty[/tex]

Therefore, the correct statements are A and D.

We want to study the end behavior of the given polynomial.

The two correct statements are A and D.

The polynomial is:

f(x)  = x^3 - 7*x^2 + 10*x.

We can see that the degree of this polynomial is odd, this means that the behavior on the negative side is opposite to the one in the positive side.

In this case, the leading coefficient is one, so it is positive. This will mean that, for large positive values of x, f(x) will be positive.

For large (in absolute value) negative values of x, f(x) will be negative.

Then the end behavior is given by:

So the two correct statements are A and D.

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Answer:

The formula for circumference of s circle is pi x diameter.

If the circumference is 28 we can divide it by pi to get the Diameter.

28/ pi = 8.9126768131461388030574907488608042739297 rounded to 8.91 (2dp)

The radius is half of the diameter, so this means 8.91 / 2 = 4.46 ft (rounded to 2dp)

Answer:

1 gallon every 6 days

Step-by-step explanation:

To obtain a whole-number ratio, we multiply the 1/2 gallon by two. Since we are doing that, we should multiply the 3 days by two also.

Answer:

  1/5³ = 1/125 = 5⁻³

Step-by-step explanation:

It can be useful to remember that an exponent signifies repeated multiplication.

  5^3 = 5×5×5

  5^6 = 5×5×5×5×5×5

Then the ratio is ...

  [tex]\dfrac{5^3}{5^6}=\dfrac{5\times5\times5}{5\times5\times5\times5\times5\times5}=\dfrac{1}{5\times5\times5}=\boxed{\dfrac{1}{125}}[/tex]

__

If you want to leave this in terms of exponents, you can see that factors in the denominator cancel (subtract from) those in the numerator. That is ...

  [tex]\dfrac{5^3}{5^6}=\dfrac{5^{3-3}}{5^{6-3}}=\dfrac{5^0}{5^3}=\boxed{\dfrac{1}{5^3}}[/tex]

The same sort of exponent arithmetic works to leave a numerator value with a negative exponent:

  [tex]\dfrac{5^3}{5^6}=\dfrac{5^{3-6}}{5^{6-6}}=\dfrac{5^{-3}}{5^0}=\dfrac{5^{-3}}{1}=\boxed{5^{-3}}[/tex]

_____

Additional comment

These ideas are formulated as the rules of exponents:

Answer:

-124

Step-by-step explanation:

3x + 2y = 14 (×3) → 9x + 6y = 42

- → x = -18

5x + 3y = 12 (×2) → 10x + 6y = 24

3(-18) + 2y = 14

-54 + 2y = 14 → 2y = 14 + 54 = 68 → y = 68/2 = 34

5x - y = 5(-18) - 34 = -90 - 34 = -124