A function is defined by f(x) = 5(2-x). What is f(-1)?
o 5
o 5
O 15
O 53

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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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:

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:

$6

Step-by-step explanation:

Divide $54 with 9 canday bars

So, 54/9

=$6

Each candy bar cost $6

Answer:

d =122.5 miles

Step-by-step explanation:

We know the formula is

d= rt

d is distance   r = rate and t is time

d = 35 miles per hour * 3.5 hours

d =122.5 miles

Answer:

122.5 miles traveled

Step-by-step explanation:

35 miles x 3.5 hours = 122.5 total miles traveled

Answer:

x = 1

Step-by-step explanation:

The perimeter of the square is 4(2x + 3) = 8x + 12 and the perimeter of the triangle is 3x + 2(x + 3) + 5x + 4 = 10x + 10. Since they are equal, we can write:

8x + 12 = 10x + 10

-2x = -2

x = 1

Answer:

Step-by-step explanation:

Perimeter of a square = 4(a)

Where a = side=2x+3

[tex]P = 4(a)\\P= 4(2x+3)\\Perimeter \: = 8x +12[/tex]

Perimeter of a triangle =

[tex]a +b +c[/tex]

[tex]3x + 2(x+3) +5x+4\\3x +2x +6 +5x+4\\Simplify\\: \\3x+2x+5x = 10x\\6+4 =10\\\\= 10x+10[/tex]

[tex]8x +12 = 10x+10\\Collect like terms\\8x -10x = 10-12\\-2x =-2\\Divide\:both\:sides\:of\:the\:equation\:by \:-2\\\frac{-2x}{-2} = \frac{-2}{-2} \\\\x = 1[/tex]

Answer:

let the unknown rational number be X.

26/X=39

X=39/26

X=3/2

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:

70%

Step-by-step explanation:

100%-30% = 70%

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:

Step-by-step explanation:

I don’t think I can type exponents here so I’ll write it and take a picture

Answer:

20 x 20 x 20 x 20 x 20= 3200000

20^6

Answer:

  16π ≈ 50.27 square units

Step-by-step explanation:

The equation is that of a circle of radius 4. The area of a circle is given by ...

  A = πr²

  A = π(4²) = 16π ≈ 50.27 . . . . square units

_____

The equation can be put into the standard form for a circle to find its radius.

  (x^2 -2x) +(y^2 +6y) = 6 . . . . collect variable terms on the left

  (x^2 -2x +1) +(y^2 +6y +9) = 6 + 1 + 9 = 16 . . . . . complete the squares

  (x -1)^2 +(y +3)^2 = 4^2 . . . . . the radius is 4

Compare to the form ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . circle of radius r centered at (h, k)

Answer:

6 + t= 10

4 dog treats

Step-by-step explanation:

Luca took his dogs out for a walk.

He gave his dogs 6 dog treats.

Luca's dad came back home that same day and gave the dogs "t" more treats

This means "t" more treats added to the initial 6 treats.

6 + t

All together that same day, Luca's dogs got a total of 10 treats

6 + t = 10

Hence the equation to describe this situation can be written as 6 + t= 10

The number of treats that Luca's dad gave to the dogs can be calculated as follows

6 + t= 10

t = 10-6

t= 4

Hence the number of treats that Luca's dad gave to the dogs is 4 treats

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: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:

The answer is $3.00

Step-by-step explanation:

None

Answer:

120 oz. for $12.99

Step-by-step explanation:

yegeheyeueu3hehueueu3h3he

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

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

Explanation:

Points B, C, and D are midpoints of triangle AFE. This is due to the similar tickmarks showing how the segments are congruent (eg: AB = BE).

Because we have D and B as midpoints, this means segment DB is a midsegment of triangle AFE.

FE = 23.5, so half that is (1/2)*FE = 0.5*23.5 = 11.75 which is the length of DB.

The midsegment DB is half as long as FE, and DB is parallel to FE.

If FE=23.5 in triangle AFE then BD=11.75.

A triangle is a two dimensional figure having three sides, three angles. Two triangles are said to be congruent if all the corresponding sides and corresponding angles are equal.

We have been given the length of FE=23.5 and we have to find the length of BD. From the figure we have found that B,C and D are mid points of triangle AFE. This is due to the similar signs shown in the figure showing how the segments are congruent. Because we have D and B are mid points, this means segment BD is a mid segment of triangle AFE.

Therefore BD=1/2* 23.5= 11.75.

Hence if the length of FE=23.5 then the length of BD=11.75.

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Answer:

Step-by-step explanation:

[tex] \sf{0.5x - 7 = 0.3}[/tex]

Move 7 to right hand side and change it's sign

⇒[tex] \sf{0.5x = 0.3 + 7}[/tex]

Add the numbers

⇒[tex] \sf{0.5x = 7.3}[/tex]

Divide both sides of the equation by 0.5

⇒[tex] \sf{ \frac{0.5x}{0.5} = \frac{7.3}{0.5} }[/tex]

Calculate

⇒[tex] \sf{x = 14.6}[/tex]

Hope I helped!

Best regards!!

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:

  f(g(x)) = 2x +(-5)

Step-by-step explanation:

Put the argument value into the function and simplify the result.

  f(g(x)) = f(x -3) = 2(x- 3) +1 = 2x -6 +1

  f(g(x)) = 2x +(-5)

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:

Gina would receive $16 equivalent to 2^4 on Thursday from her grandfather

Step-by-step explanation:

A. 2^5

B. 2^4

C. 2^3

D. 2^2

Gina gets:

Monday =$2 = $2^1

Tuesday =$4 = $2^2

Previous day's amount get multiplied by 2

Wednesday = Tuesday's amount × 2

= $4 × 2

= $8

= $2^3

Thursday = Wednesday's amount × 2

= $8 × 2

= $16

= $2^4

Gina would receive $16 equivalent to 2^4 on Thursday from her grandfather

Answer:

the answer is 2^4

Step-by-step explanation:

Answer:

slope = - 3

Step-by-step explanation:

The slope m of the line is calculated as

m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

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: 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:

1,1.1,1.25,1.5,1.7,9

Answer:

sum

Step-by-step explanation:

The sum of c and d is c+d.

So basically everything but choices B and C are functions.

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

Explanation:

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