A rectangle has a perimeter of 44 centimeters. The width is 10 centimeters. What is the length of the rectangle? o 12 centimeters O 20 centimeters 0 24 centimeters O 34 centimeters

Answer:

29

Step-by-step explanation:

4 - 25i^2

4 - 25x(-1)

4 + 25 = 29

the ^2 means exponent 2

Answer:

-(1 - 2a)^2

Step-by-step explanation:

-1 + 4a - 4a^2

= -[1^2 - 2*1*(2a) + (2a)^2]

= -(1 - 2a)^2

Answer:

Step-by-step explanation:

Begin by taking out the minus

-(4a^2 - 4a + 1)     The answer is the square root of the 1st and 3rd terms.

√4a^2 = 2a

√1 = 1                    Since middle term is minus, one of 2a or 1 must also be minus

Usually the one is made minus.

That leaves you with a perfect square

- (2a - 1)^2   There are more ways than 1 to write this, but I think this is the clearest answer

Answer:

1/6

Step-by-step explanation:

9: 9,18,27,36,45,54,63,72,81,90

10: 10,20,30,40,50,60,70,80,90,100

Since, 90 is the LCM of 9 and 10 that turns into your denominater then your equation turns into this...

5/90 x 3/90

The denomineter stays the same so you get 90 then 5 x 3 equals 15 so you get 15 and in total that gives you 15/90. Divide the top and bottom by the greatest number that will divide both numbers exactly which gives you 1/6

HOPE THIS HELPED :D

Explanation

We are given the following pendulum formula:

We are required to determine the length of the swing.

This is achieved thus:

Hence, the answer is:

Option D is correct.

Answer:

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 12 on the left side and the dividend 155 on the right side like this:

 1 2 ⟌ 1 5 5

Step 2:

The divisor (12) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 1 2 ⟌ 1 5 5

Step 3:

Multiply the divisor by the result in the previous step (12 x 0 = 0) and write that answer below the dividend.

       0    

 1 2 ⟌ 1 5 5

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 1 2 ⟌ 1 5 5

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

Step 6:

The divisor (12) goes into the bottom number (15), 1 time(s). Therefore, put 1 on top:

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

Step 7:

Multiply the divisor by the result in the previous step (12 x 1 = 12) and write that answer at the bottom:

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

       1 2  

Step 8:

Subtract the result in the previous step from the number written above it. (15 - 12 = 3) and write the answer at the bottom.

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3  

Step 9:

Move down the last digit of the dividend (5) like this:

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

Step 10:

The divisor (12) goes into the bottom number (35), 2 time(s). Therefore put 2 on top:

       0 1 2

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

Step 11:

Multiply the divisor by the result in the previous step (12 x 2 = 24) and write the answer at the bottom:

       0 1 2

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

         2 4

Step 12:

Subtract the result in the previous step from the number written above it. (35 - 24 = 11) and write the answer at the bottom.

       0 1 2

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

     -   2 4

         1 1

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 155 divided by 12 calculated using Long Division is:12

11 Remainder

Answer:

D All positive integers are rational numbers.

Step-by-step explanation:

Integers are rational numbers

Answer:

2(b-2)=6

Step-by-step explanation:

Twice the difference means multiply the difference by two

It explains the difference being between the unknown number(b) and 2

The answer is said to be six

So you put the difference (b-2)

Multiply it 2(b-2)

and finally, add the answer: 2(b-2)=6

The equation for the given sentence is 2(b-2)=6 and the unknown number is 5.

Given that, twice the difference of a number and 2 equals 6.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Use the variable b for the unknown number.

2(b-2)=6

⇒ b-2=3

⇒ b=5

Therefore, the equation for the given sentence is 2(b-2)=6 and the unknown number is 5.

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Answer:

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit P can be expressed as:

\(P=3S+5H\)

The restriction for cloth can be written as:

\(S+2H\leq500\)

The restriction for metal can be written as:

\(2S+3H\leq600\)

The restriction for wood can be written as:

\(4S+7H\leq800\)

The condition for S and H to be positive is:

\(S, H \geq0\)

Step-by-step explanation:

We have an objective function that, in this case, we want ot maximize.

This function is the Profit (P).

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit can be expressed as:

\(P=3S+5H\)

We have 3 restrictions, plus the condition that both S and H are positive.

The restriction for cloth can be written as:

\(S+2H\leq500\)

The restriction for metal can be written as:

\(2S+3H\leq600\)

The restriction for wood can be written as:

\(4S+7H\leq800\)

The condition for S and H to be positive is:

\(S, H \geq0\)

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

To solve the exercise, you can first take the coordinates of the preimage and the image and see how they change.

As can you see this rotation satisfies the rule for rotating a point 270 ° counterclockwise in the plane. This rule is

Answer:

\(\boxed{Radius=25.13}\)

Step-by-step explanation:

Circumference of Circle = \(2\pi r\)

Where C = 16

=> 16 = 2πr

Dividing both sides by 2π

=> r = \(\frac{16}{2\pi }\)

=> r = 25.13

Answer:

A is the correct answer

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▹ Answer

Exponential

▹ Step-by-Step Explanation

Every time 1 is added to x, y multiples by 2.

0 + 1 = 1

1 + 1 = 2

2 + 1 = 3

3 + 1 = 4

-2 * 2 = -4

-4 * 2 = -8

-8 * 2 = -16

-16 * 2 = -32

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

2. The transformations are given as follows:

3. The transformations are given as follows:

For item 2, the transformations in this problem are given as follows:

For item 3, the transformations are given as follows:

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Savannah walks 8/9 of a mile to school. Wendy walks 2/3 of a mile to school. who walks a further distance?

Answer:

Savannah

Answer:

Savannah walks a further distance

Step-by-step explanation:

8/9 is a larger fraction than 2/3. This might be easier to see if we make these fractions have the same denominator.

\(\frac{8}{9} and \frac{6}{9}\)

Therefore, savannah walked a further distance than Wendy.

Answer:

-7

Step-by-step explanation:

8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.

Answer:

There will be 10 students in each van, and only 8 in one van

Step-by-step explanation:

26 + 32 = 58

Answer:

y=0.3x

Step-by-step explanation:

Formula = \(K=\frac{y}{x}\)

y α x

y = kx

Where k is the constant of proportionality.

When y = 1.5; x = 5;

We substitute these known values in the equation,

y = kx

1.5 = k5

Dividing both sides of the equation by 5 to find the value for k, we have

1.5/5= k0.3/5

Therefore,

K = 0.3

Having found the value of k,

We substitute this value into the relationship

y = kx

Therefore we have,

y = 0.3x.

The direct variation function is therefore,

y = 0.3x.

[RevyBreeze]

Answer:

y= 0.3x

Step-by-step explanation:

Since y varies directly as x, use the direct variation equation, y = kx.

1.5 = k(5) Substitute 1.5 for y and 5 for x.

k = 0.3 Solve for k.

Write the direct variation function by using the value for k.

y = 0.3x Substitute 0.3 for k in y = kx.

Answer:

1057.89 feet

Step-by-step explanation:

Trig time! Start with a diagram and listing out your trig functions, either mentally or on paper. SOH CAH TOA

The best trig function for this problem is likely tan:

tan84.6 = height / 100

100 * tan 84.6 = height

height = 1057.89 feet

Answer:

3/70

Step-by-step explanation:

Answer:

I think its 21/10

Step-by-step explanation:

because when you divide fractions you have to multiply.

Answer:

Step-by-step explanation:

After 5 years at a simple interest rate of 10%, Patrick would have earned $500 in interest ($1000 x 10% x 5 years). So at the end of the 5 years, he would have $1500 in the account.

If this entire amount is deposited into a new account that earns 10% compounded quarterly, we need to determine the quarterly interest rate first.

The quarterly interest rate is (1 + 0.10/4)^4 - 1 = 0.025 (rounded to three decimal places).

After 10 years (or 40 quarters) at a quarterly interest rate of 0.025, the compounded amount is:

$1500 x (1 + 0.025)^40 = $4045.56

Therefore, Patrick would have $4045.56 in the account after 10 years when rounding to the nearest cent.

Hope that Helps :)

By SAS similarity rule, triangle ACD and BCE are similar.

An equilateral triangle is a particular kind of triangle in which the lengths of the three sides are equal.. It is also an equiangular triangle, meaning that all three angles are congruent, and each measures 60 degrees.

Given ΔABC andΔ CDE are equilateral triangle

To prove: ΔACD is congruent toΔ BCE

ΔABC and ΔCDE are equilateral triangle

So, sides are equal and angles are 60

In the triangle ΔACD and ΔBCE

∠BAC=∠DEC ( Both angles are 60° )

AC=BC (equilateral triangle)

CD=CE (equilateral triangle)

Hence, By SAS similarity rule, Triangle ACD and BCE are similar.

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Answer:

Hello your question is incomplete below is the complete question

Let R be a relation from A to B and S a relation from B to C.

(a) Prove that  . \(Dom(S \circ R) \subseteq Dom(R)\)

(b) Find a counterexample to show that we don’t always have equality.

answer : (b) Dom ( S o R ) = [ 1 ] and Dom ( R ) = [ 1, ∝ ]

              hence: Dom ( S o R ) ≠ Dom ( R )

Step-by-step explanation:

Note : R ⊆ A * B and  S ⊆ B * C

A) To prove that \(Dom(S \circ R) \subseteq Dom(R)\)

 we take note that : S o R ⊆ A x C

ATTACHED BELOW IS THE REMAINING PART OF THE SOLUTION

B) A counterexample to show that we don't always have equality

attached below is a assumptions and solution on how we arrived at the value below

Dom ( S o R ) = [ 1 ] and Dom ( R ) = [ 1, ∝ ]

hence: Dom ( S o R ) ≠ Dom ( R )

The mean value theorem is used to link the average rate of change and the derivative of a function.

The value of V is 8.

The givenparameters are:

Mean value theorem states that:

If  [a,b] and

(a,b),

Then there is a point c in (a,b), such that:  

From the question, we understand that: f is differentiable

This means that:

avethat:

The equation becomes

Cross mltiply

o both side

From the question, we have:

By comparisons;

Hence, the value of V is 8.

Answer:

y+6=1/2(x+3)

Step-by-step explanation:

Hi there!

We want to find the equation of the line in point-slope form that passes through (-3, -6), and (3, -3)

Point-slope form is given as y-\(y_{1}\)=m(x-\(x_{1}\)) where (\(x_{1}\), \(y_{1}\)) is a point and m is the slope

We don't know the slope of the line, so let's find it

The formula for the slope (m) calculated from two points is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\), where (\(x_{1}\), \(y_{1}\)) and (\(x_{2}\), \(y_{2}\)) are points

We have two points, but let's label their values to avoid any confusion

\(x_{1}\)=-3

\(y_{1}\)=-6

\(x_{2}\)=3

\(y_{2}\)=-3

Now substitute into the formula (remember: the formula has SUBTRACTION)

m=\(\frac{-3--6}{3--3}\)

simplify

m=\(\frac{-3+6}{3+3}\)

m=\(\frac{3}{6}\)

m=1/2

So the slope of the line is 1/2

Now that we have everything needed for point-slope form (a point and the slope), substitute the values into the formula (remember: the formula has SUBTRACTION)

y-\(y_{1}\)=m(x-\(x_{1}\))

y--6=1/2(x--3)

simplify

y+6=1/2(x+3)

Hope this helps!

a) The amount of overhead cost that would have been applied to each job during May, based on the predetermined overhead rate, was as follows:

                                   Job X        Job Y        Job Z

Overhead applied   $9,000       $3,600     $5,400

b) The work-in-process inventory reported in the company's May 31 balance sheet was $10,500 for Job Z only.

c) The finished goods inventory that would be reported in the company’s May 31 balance sheet was $4,050.

d) The cost of goods sold that would be reported in the company's income statement for May was $14,500.

The predetermined overhead rate is the rate per unit at which overhead costs are applied to production units or jobs.

The predetermined overhead rate is the quotient of the total budgeted overhead cost divided by the relevant total cost driver units (e.g. direct labor hours).

Predetermined overhead rate = $45 per direct labor-hour

                                   Job X        Job Y        Job Z

Direct labor hours        200             80             120

Direct materials      $4,800       $1,800      $3,600

Direct labor               2,400         1,000         1,500

Overhead applied   9,000         3,600        5,400

                         ($45 x 200)  ($45 x 80)   ($45 x 120)

Production costs $16,200       $6,400    $10,500

Unit costs of Job X   $81 ($16,200/200)

Sold units of Job X = 150

Unsold units of Job X = 50 (200 - 150)

Work in process inventory = Job Z's total cost.

Finished Goods Inventory = $4,050 ($81 x 50)

Cost of Goods Sold = $14,500 ($6,400 + $81 x 100)

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The answer of the given question based on the scatterplot for determining  when she will reach 10,000 songs the answer is Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

Slope is  measure of  steepness or incline of  line. In geometry and mathematics, slope is defined as  ratio of the change in  y-coordinates to  change in  x-coordinates between two distinct points on  line. This is often represented by  letter "m".

To determine when Maria will reach 10,000 songs, we need to find the point on the line of best fit where the y-value is 10,000.

From the scatterplot, we can estimate that the line of best fit intersects the y-axis at approximately 2000. This means that the initial number of songs downloaded was 2000.

Next, we need to find the slope of the line of best fit. Let's choose the points (5, 6500) and (10, 9500).

The slope of the line passing through these two points is:

slope = (y2 - y1)/(x2 - x1) = (9500 - 6500)/(10 - 5) = 600 songs per month

This means that Maria is downloading 600 songs per month on average.

Finally, we can use the slope-intercept form of a line to find the x-value when the y-value is 10,000:

y = mx + b

10,000 = 600x + 2000

8000 = 600x

x = 13.33

Therefore, Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

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Answer:

4/9 = 1/2 x

Step-by-step explanation:  2.84 sands

F and G are inverse if both of them satisfy the condition h(x)=x. f(g(x))=g(f(x))=x, as we discovered. The argument f(x) and g(x) are inverse functions is thus established.

If f (x) and g (x) are inverse functions, it can be determined using one of two ways. For more information, see the explanation.

Explanation:

Instance 1

Inverse functions of both functions can be found using the first method.

Example.

Inverse of f (x) = x + 7 is what we're looking for.

We attempt to determine x using the equation y = x + 7.

y = x + 7

Inferring that g (x) is the inverse of f (x) from the fact that x = y 7

Finding g (x inverse )'s is now necessary.

g( x ) = x − 7

y = x − 7

x = y + 7

As a result, we discovered that f (x) is the inverse function of g (x).

f and g are equal if g is inverse of f and vice versa.

The second approach entails locating the compound functions f ( g ( x ) ) and g ( f ( x ) ). In this case, f and g are inverse if they are both h (x ) = x.

Example:

f ( g ( x ) =  [ x − 7 ] + 7

G ( x ) placed as x is the expression in brackets.

f ( g ( x ) ) = x − 7  + 7 = x

g (f ( x ) =  [ x + 7 ] − 7

f ( x ) inserted as x is the expression in brackets.

g ( f ( x ) ) = x + 7 − 7 = x

The equation f ( g ( x ) ) = g ( f ( x ) ) = x was what we discovered. The argument f (x) and g (x) are inverse functions is thus established.

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