Simplifying Expressions ,

Step-by-step explanation:

l = 3 + 2w

P= 2w t 2l

= 2w+2(3+2w)

=2w+6+4w

=6w+6 = 54

6w=48

w=8

divide 6 both side

l=3+2(8)=3+16=19

answer

width 8feet and length 19 feet

Answer:

1 in 47.

Step-by-step explanation:

Add all of the outcomes (28 + 2 + 3 + 14).

You'll get 47.

Do not add the 1s.

There is your answer.

1 in 47.

Answer:

a. 9 b.36 c. 100 d. 13689

Answer:

h'(x)= [tex]e^{x^{9}+In(x) } (9x^{8} +\frac{1}{x} )[/tex]

Step-by-step explanation:

h(x)=[tex]e^{x^{9} +In(x)}[/tex]

first, we will use the chain rule

step1: we divide the function into two parts So,

f(x)=[tex]e^{x^{9} +In(x)}[/tex]   and  g(x)=[tex]x^{9} +In(x)[/tex]

step2: rewrite [tex]x^{9} +In(x)[/tex] as u.

f(x)=[tex]e^{u}[/tex]    and   g(x)=u

step3: differentiate f(x) first.

f'(x)=[tex]e^{u}[/tex]   (the formula is y=[tex]e^{x}[/tex] and y'=[tex]e^{x}[/tex] - the same)

step4: write the value of u for each function but now sub it in the differentiable form of f(x).

f'(x)=[tex]e^{x^{9}+In(x) }[/tex]  and g(x)=[tex]x^{9}+In(x)[/tex]

step5: differentiate the function g(x).

g'(x)=[tex]9x^{8} +\frac{1}{x}[/tex]

(for [tex]x^{9}[/tex] the formula is y=[tex]x^{n}[/tex] and y'=[tex]nx^{n-1}[/tex] ) (for In(x) the formula is y=In(x)  and y'=[tex]\frac{1}{x}[/tex] )

step6: use the chain rule to finish out So,

h'(x)=f'(x) × g'(x)

=[tex]e^{x^{9}+In(x) }[/tex] × [tex]9x^{8}+\frac{1}{x}[/tex]

step7: simplify.

h'(x)= [tex]e^{x^{9} +In(x)}(9x^{8}+\frac{1}{x})[/tex]

Answer:c

Step-by-step explanation:the difference between the largest and smallest is the range ...all the possible answers would be included in the range

Answer:

20 percent decrease

Step-by-step explanation:

0.15 cents is 10 percent of 1.50, and that multiplied by 2 is 0.30 cents. 0.30 cents is equal to 20 percent, and the difference between 1.50 and 1.20 is 30 cents.

Answer:

A

Step-by-step explanation:

when you open the brackets you do 5 to the power of 5 and X to the power of 5

Answer:

37.84

Step-by-step explanation:

Step 1: We make the assumption that 185 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=185.

Step 4: In the same vein, x%=70.

Step 5: This gives us a pair of simple equations:

100%=185(1).

x%=70(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left-hand side) of both equations have the same unit (%); we have

100% / x% = 185 / 70

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% / 100% = 70/185

---> = 37.84%

Therefore, 70 is 37.84% of 185.

Answer:

C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.

Step-by-step explanation:

8 + a = 13 (original Equation)

Subtract 8 from both sides

8 + a - 8 = 13 - 8 ( subtraction property of equality

a = 5 (Simplify)

The correct answer is option C

C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.

Answer:

no solutions

Step-by-step explanation:

Given

4x + 2(x - 5) = 3(2x - 4) ← distribute parenthesis on both sides

4x + 2x - 10 = 6x - 12

6x - 10 = 6x - 12 ( add 10 to both sides )

6x = 6x - 2 ( subtract 6x from both sides )

0 = - 2 ← not possible

This indicates the equation has no solution

Answer: y=3x+3

Step-by-step explanation:

The equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The point (1, 6) and is perpendicular to the line x + 3y = 27

The slope of the line x + 3y = 27

m = -1/3

The slope of the line perpendicular to the line x + 3y = 27:

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

M = 3

The equation of the line:

y - 6 = 3(x - 1)

y = 3x + 3

Thus, the equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3

Learn more about the straight line here:

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Answer:

4 pairs cost $64

Step-by-step explanation:

16*4=64$

Answer: xy=11 in.; yz= 13 in.; xz=13in.

Step-by-step explanation:

i’m pretty sure that’s it

Answer:

x ≥ [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given equation:

     4x² -20x + 25≥0​

To solve for x, we simply factorize the equation;

We should find two numbers whose sum = -20 and product is 100

  These two numbers are -10 and -10

So;

    4x² - 10x - 10x + 25 ≥ 0​

   factorize;

    2x(2x - 5) - 5(2x - 5) ≥ 0​

   (2x - 5) (2x - 5) ≥ 0​

    So;

        2x - 5 ≥ 0​

         2x ≥ 5

            x ≥ [tex]\frac{5}{2}[/tex]

1. answer: 2

2. answer: 1 and 1/5

3. answer: 2/15

4. answer: 24

5. answer: 6/7

6. answer: 2

7. answer: 1 and 1/4

Explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes  _________.

For fraction multiplication, multiply the numerators and then multiply the denominators to get ______.

Answer:

B.) x > -1 and x ≤ 4

Step-by-step explanation:

Hope this helps!

Answer:

Rachel earn $85 in 10 hours.

Step-by-step explanation:

Rachel earned $34 in 4 hours at her job today. It means we can find his earning in 1 hour.

1 hour = $(34/4)

= $8.5

He earns $8.5 in an hour.

To find his earning in 10 hours, multiply $8.5 by 10. So,

Earning =  $8.5 × 10

= $85

Hence, Rachel earn $85 in 10 hours.

Answer:

85

Step-by-step explanation:

I am right

Answer:

6.

Step-by-step explanation:

f(n)=3n²/2

f(2)=3(2²)/2

f(2)=3(4)/2

f(2)=12/2

f(2)=6

The second term of the sequence 3n²/2 is 6.

Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Given, The nth term of a sequence is 3n²/2.

Let f(n) = 3n²/2.

Now, to obtain the second term of the sequence can be obtained by replacing n with 2.

∴ f(2) = 3(2)²/2.

f(2) = (3×4)/2.

f(2) = 12/2.

f(2) = 6.

learn more about sequences here :

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Answer:

A

Step-by-step explanation:

30:18 /6 =5/3

15:9 /3 =5/3

20:12 /2 =5/3

Answer:

free points

Step-by-step explanation:

thanks sis

Answer:

The equation for the price, as a function of time in hours is:

P(x) = 20*x    for 0 ≤ x ≤ 2

P(x) = 40 + 10*(x - 2)  for  2 ≤ x

Now, we want to evaluate this function in 40 mins.

we know that 1 hour = 60mins.

Then 40 mins = (40/60) hours = 0.67 hours.

Then we input this in our function, and because this is smaller than 2, we use the first piece of our function:

P(0.67) = 20*0.67 = 13.4

So in 40 mins, the charge will be 13.4 pesos.

x= 7 is the answer

Combine like terms

-3x=21

Divide both sides by 3

x=7

Answer:

[tex]:\implies \sf -6x + 3x = -21 \\ \\ \\ [/tex]

[tex]:\implies \sf - 3x = -21\\ \\ \\ [/tex]

[tex]:\implies \sf x = \dfrac{-21}{ - 3} \\ \\ \\ [/tex]

[tex]:\implies \sf x = \dfrac{21}{3} \\ \\ \\ [/tex]

[tex]:\implies \underline{ \boxed{ \textsf { \textbf{x = 7}}}} \\ [/tex]

Answer:

If the other angle measurment is 38° then angle EFC will be 142° ( 180-38= 142°)

Step-by-step explanation:

Answer:

The desired range is from 141 bpm to 157 bpm

Step-by-step explanation:

Given that the maximum heart rate = 175 bpm.

She plans an exercise program to reach the desired heart rate which is in the range of 80% and 90% of the maximum heart rate.

So, the lower limit of the desired heart rate = 80% of the maximum heart rate

=\frac{80}{100}\times 175= 140 bpm

and the upper limit of the desired heart rate = 90% of the maximum heart rate

=\frac{90}{100}\times 175= 157.5 bpm

So, mathematically, the desired range is between 140 bpm and 157.5 bpm.

The heart-beats per minute should be a counting number, so, round the upper limit to the lower integral value to be within the range.

Hence, the desired range is from 141 bpm to 157 bpm.

Answer:

Step-by-step explanation: