2. Simplify the following expression 1 (16 (16-12)​

Answer:

Option 3

Step-by-step explanation:

If (x, y) is on h(x), then (y, x) is on the inverse.

Thus, if (4, 2) is on the inverse, then (2, 4) must be on the original. (Which it is not, so this option is incorrect)

If (0, 1/2) is on the inverse, then (1/2, 0) must be on the original. (It is not, so this option is also incorrect)

If (0, 1) is on the inverse, then (1, 0) must be on the original. (It is not, so this option is also incorrect)

If (-5, 1) is on the inverse, then (1, -5) must be on the original. (It is not, so this option is incorrect)

The correct answer would be the third option.

Answer:75

Step-by-step explanation:

Answer:

D. 75%

Step-by-step explanation:

Hello!

To convert a decimal to a percent we move the decimal point two times to the right

0.75 ⇒ 75%

The answer is D.75%

Hope this helps!

Answer:

x=17/3

Step-by-step explanation:

divide both sides by 3 to isolate x

Answer:

Exact Form 67/6

Mixed Number Form 11 1/6

Step-by-step explanation:

Removed Parenthesis 8/3+(-3)^2-1/2

Group like terms 8/3 - 1/2 + (-3)^2

Apply the exponent rule 8/3 - 1/2 + 3^2

Find the LCM (least common multiple) of 3 & 2; 6

Adjust Fraction based on LCM 8/3 = 8*2/3*2 = 16/6   1/2 = 1*3/2*3 = 3/6

16/6 - 3/6

since denominators are equal combine the fraction [tex]\frac{16-3}{6}[/tex]

Subtract the numbers 3^2 + 13/6

3^2 = 9 = 9 +13/6

9*6/6 + 13/6

[tex]\frac{9*6 + 13}{6}[/tex] = 67/6

Answer: 10 and 8

Step-by-step explanation: A coefficient is the number that comes before the variable. I hope this helps :)

The coefficients are the numbers to the left of the variable terms

10b is one variable term with the coefficient 10

-8a is the other variable term with the coefficient -8

The terms 2 and 6 are constants as they don't have any variables multiplied with them.

Answer:

The value of segment LM is 9x + 5.

Step-by-step explanation:

Consider the image below.

A perpendicular bisector is a line segment that bisects another line segment into two equal parts and is perpendicular to this line segment.

So from the diagram below we know:

KL = LM

line a is ⊥ to KM

∠NLK = 90°

Since the angle measure of ∠NKL is not provided we cannot determine the value of x.

So, the value of segment LM is 9x + 5.

The answer is 23 units. I got this answer right on this question, if this do help please tap the heart or comment that this helped you. : ) have a lovely day

Answer:

[tex]\Large \boxed{\frac{1}{15} }[/tex]

Step-by-step explanation:

The two-digit perfect squares are 16, 25, 36, 49, 64, 81.

There are 6 numbers that are two-digit perfect squares.

There are a total of 90 numbers that have two-digits.

P(two-digit perfect square) = [tex]\frac{6}{90} =\frac{1}{15}[/tex]

The  Probability  that the number is a perfect square out of two-digit number is chosen at random is [tex]\frac{1}{15}[/tex] .

Probability is a branch of mathematics that deals with the occurrence of a random event.

For example, when a coin is tossed in the air, the possible outcomes are Head and Tail.

Probability formula :

Probability(Event) = Favorable Outcomes/Total Outcomes

According to the question

A two digit number is chosen at random.

Total number of two digit number are from 10 to 99

i.e

=99-10+1 = 90

or Total Outcomes = 90

Total of perfect square​ of two-digits are: 16,25,36,49,64,81

Total number of perfect square​ of two-digits = 6  

or Favorable Outcomes = 6

Now , The Probability  that the number is a perfect square

Probability(Event) = Favorable Outcomes/Total Outcomes

Probability(Event) = [tex]\frac{6}{90}[/tex]

Probability(Event) = [tex]\frac{1}{15}[/tex]

Hence, the  Probability  that the number is a perfect square out of two-digit number is [tex]\frac{1}{15}[/tex] .

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Answer:

27

Step-by-step explanation:

375 7579 779

nunber a that is -27

hope it helps

Answer:

it should be -26

Step-by-step explanation:

-32+(-4+7)(2)

=-32+3×2

=-32+6

=-26

Answer:

let the unknown rational number be X.

26/X=39

X=39/26

X=3/2

Answer:

70%

Step-by-step explanation:

100%-30% = 70%

Answer:

D

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (-3, - 2)

m = [tex]\frac{-2-5}{-3+3}[/tex] = [tex]\frac{-7}{0}[/tex] ← undefined

Note that division by zero is undefined thas the slope is undefined.

This indicates that the line going through the 2 points is vertical and parallel to the y- axis.

Answer:

Undefined

Step-by-step explanation:

When you calculate he slope it ends up being a vertical line

Answer:

12 and 16 or 12:16

Step-by-step explanation:

The ratio is 3:4.  You need the ratio to equal 28.  If you multiply 4 by each one, you get:

3 times 4= 12

4 times 4= 16

12+16=28

Answer:

128 cm²

Step-by-step explanation:

Given the scale factor of 2 similar figures is a : b , then

ratio of areas = a² : b²

Here the scale factor = 3 : 4 , thus

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the larger figure then by proportion

[tex]\frac{9}{72}[/tex] = [tex]\frac{16}{x}[/tex] ( cross- multiply )

9x = 1152 ( divide both sides by 9 (

x = 128

Thus area of larger figure is 128 cm²

The required area of the bigger shape is 128 cm².

The linear scale factor of two similar shapes is in ratio 3:4. the area of the smaller shape is 72cm square. To determine the area of the bigger shape.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Linear scale factor ratio of two similar shapes = 3:4
Let the area of the bigger shape = x²

Area of the smaller shape   = 72

Now since the ratio is linear = 3 : 4
squaring the ratio  = 3²:4²

                            = 9:16
Now the ratio of the are = 72: x²
Equating the ratios
72/x² = 9/16
x² =  16/9 * 72
x² =  1.77 * 72
 x² = 128

Thus, the required area of the bigger shape is 128 cm².

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29 + 36 = 65 total pushups per day.

Multiply pushups per day by 7 days per week:

65 x 7 = 455 total pushups per week

Multiply pushups per week by number of weeks:

455 x 4 weeks = 1,820 total pushups.

Answer:

1,1.1,1.25,1.5,1.7,9

Answer:

f(g(x))= 1-2(x^2-5+3)

Step-by-step explanation:

To do this you would plug in x^2-5+3 into the x for the g(x) so you would get f(g(x))= 1-2(x^2-5+3)

Answer:

4x^2+6x-1

Step-by-step explanation:

the question asks for f(g(x)). this means you have to plug in the value of g(x) into the "x" of f(x). (you should always work inside out.)

if you do that, you get this equation : (-2x+1)^2-5(-2x+1)+3 (i changed the 1-2x into -2x+1) because you plug in the g(x) (in this case, -2x+1) into the x's in the f(x) equation.

first you foil the (-2x+1)^2 and get 4x^2-4x+1.

then you distribute -5(-2x+1) and get +10x-5

and you bring down the 3.

so you have 4x^2-4x+1+10x-5+3 and you combine your like terms and get

4x^2+6x-1

which is your answer!

Answer:

The answer is $3.00

Step-by-step explanation:

None

Answer:

120 oz. for $12.99

Step-by-step explanation:

yegeheyeueu3hehueueu3h3he

So basically everything but choices B and C are functions.

====================================

Explanation:

Answer:

A. y = -16

Step-by-step explanation:

Hello!

What we do to one side of the equation we have to do to the other.

y + 7 = -9

We have to get y by itself so we have to get rid of the seven by doing the opposite of what it says

The opposite of addition is subtraction so we subtract 7 from both sides

y + 7 - 7 = -9 - 7

Solve

y + 0 = -16

Simplify

y = -16

The answer is A. y = -16

Hope this helps!

Answer:

See below.

Step-by-step explanation:

I'm going to use what I assume is the correct question.

[tex] \dfrac{1 - \sin x}{\cos x} = \dfrac{\cos x}{1 + \sin x} [/tex]

[tex] \dfrac{\cos x}{\cos x} \times \dfrac{1 - \sin x}{\cos x} = \dfrac{\cos x}{1 + \sin x} [/tex]

[tex] \dfrac{\cos x(1 - \sin x)}{\cos^2 x} = \dfrac{\cos x}{1 + \sin x} [/tex]

Now use the identity

[tex] sin^2 x + cos^2 x = 1 [/tex]

[tex] cos^2 x = 1 - sin^2 x [/tex]

We replace [tex] \cos^2 x [/tex] in the left denominator.

[tex] \dfrac{\cos x(1 - \sin x)}{1 - \sin^2 x} = \dfrac{\cos x}{1 + \sin x} [/tex]

Factor the difference of squares in the left side denominator.

[tex] \dfrac{\cos x(1 - \sin x)}{(1 + \sin x)(1 - \sin x)} = \dfrac{\cos x}{1 + \sin x} [/tex]

[tex] \dfrac{\cos x}{1 + \sin x} = \dfrac{\cos x}{1 + \sin x} [/tex]

Answer:

sum

Step-by-step explanation:

The sum of c and d is c+d.

Answer:

$6

Step-by-step explanation:

Divide $54 with 9 canday bars

So, 54/9

=$6

Each candy bar cost $6

Answer: 0.02291666

Step-by-step explanation:

divide 55 by 60 (minutes)

then by 60 again (seconds)

multiply by 1.5

there you go

The person travelled for 0.0229167 miles.

To calculate the distance, we have to multiply the speed by the time taken.

Distance = Speed × Time

Speed = 55 miles per hour.

Time taken = 1.5 seconds = 0.0004167 hours

Note that 3600 seconds = 1 hour

Therefore, 1.5 seconds = 0.0004167 hours

Then, the distance will be:

= Speed × Time

= 55 × 0.0004167

= 0.0229167 miles

The person travelled for 0.0229167 miles.

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Answer:

C. 12

Step-by-step explanation:

[tex] x \times 3 = 9\times 4[/tex]

[tex] x \times 3 = 36[/tex]

[tex] x = \frac{36}{3}[/tex]

[tex] x = 12[/tex]

Answer:

1

Step-by-step explanation:

Any number that is raised to the power of 0 is 1.

1^0 = 1

323^0 = 1

k^0 = 1

Hope that helped!!! k

First write 40% as the decimal .40.

The word "of" tells us to multiply.

So we have (.40)(20) which is 8.

So 40% of 20 is 8.

Answer:

8

Step-by-step explanation:

40% of 20

= 40 × 20/100

= 800/100

= 8/1

= 8

Thus, 40% of 20 is 8

Answer:

A. 54₁₀

B. 81₁₀

Step-by-step explanation:

To convert from base 4 to base 10, we simply do the following:

A. 312₄ to base 10

312₄ = (3×4²) + (1×4¹) + (2×4⁰)

312₄ = (3×16) + (1×4) + (2×1)

312₄ = 48 + 4 + 2

312₄ = 54₁₀

Therefore, 312₄ is equivalent to 54₁₀.

B. 1101₄ to base 10

1101₄ = (1×4³) + (1×4²) + (0×4¹) + (1×4⁰)

1101₄ = (1×64) + (1×16) + (0×4) + (1×1)

1101₄ = 64 + 16 + 0 + 1

1101₄ = 81₁₀

Therefore, 1101₄ is equivalent to 81₁₀.

Answer:

6

Step-by-step explanation:

-3+10-1

10-4

=6

hope this helps

Answer:

6

Step-by-step explanation:

You can add -3 and -1 to make -4 and subtract from 10.

-3-1+10= 6

Answer:

[tex]\huge \boxed{\mathrm{99.98 \ cm}}[/tex]

Step-by-step explanation:

A quadrant is quarter of a circle.

The perimeter of a quarter of a circle is [tex]\frac{2\pi r}{4} +2r[/tex].

The radius [tex]r[/tex] is 28 cm.

[tex]\frac{2\pi (28)}{4} +2(28)= 99.982297...[/tex]

The perimeter of the quadrant with radius 28 cm is approximately 99.98 cm.

Answer:

[tex]\huge\boxed{Perimeter = 99.98\ cm}[/tex]

Step-by-step explanation:

Quadrant is one - fourth of a circle

Perimeter of quadrant = [tex]\frac{2\pi r }{4} + 2r[/tex]

Where r = 28 cm

=> P = [tex]\frac{2(3.14)(28)}{4} + 2(28)[/tex]

=> P = [tex](3.14)(14) + 56[/tex]

=> P = [tex]43.98 + 56[/tex]

=> P = 99.98 cm