The perimeter of a rectangle is 38 units. The length is 13 units longer than the width. What are the dimensions of the rectangle?
A 18 by 5
B. 12 by 7
Oc is by a
0.16 by

Answer:

Step-by-step explanation:

Hello, we assume that x is different from 0 and f different from 2b

[tex]b+\dfrac{3}{x}=\dfrac{f}{2}\\\\\text{Subtract b}\\\\+\dfrac{3}{x}=\dfrac{f}{2}-b\\\\\text{Mulitply by 2x}\\\\+\dfrac{3*2*x}{x}=6=\dfrac{2xf}{2}-2bx=(f-2b)x\\\\\text{Divide by f-2b}\\\\\Large \boxed{\sf \bf x=\dfrac{6}{f-2b}}[/tex]

Thanks

Answer:

C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.

Step-by-step explanation:

Volume=576π cubic centimeters

Radius=8 cm

h=?

Her work:

Volume of a cyclinder=πr^2h

Step 1:

576π= π8^2h

Step 2:

576π = 64πh

Step 3:

576π / 64π = 64πh / 64π

Step 4:

h=9π cm

Correct workings:

Step 1:

576π= π8^2h

Step 2:

576π = 64πh

Step 3:

576π / 64π = 64πh / 64π

Step 4:

h= 9 centimeters

Her error is in step 4

C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.

Answer:

the error was made in step 4,  should have also been cancelled making the correct answer as 9 cm.

Step-by-step explanation:

Answer:

(-1, -1)

Step-by-step explanation:

To find where two lines in slope-intercept form intersect, set them equal to each other.

2x + 1 = -5x - 6

7x = -7

x = -1

Knowing they intersect at x = -1, substitute -1 into either of the two equations to find the y-value of their intersection.

y = 2(-1) + 1

y = -2 + 1

y = -1

So the intersection point of the two lines is (-1, -1).

Answer:

27x^6y^9

Step-by-step explanation:

(3x^2y^3)^3 = 3^3 * (x^2)^3 * (y^3)^3 =

= 27x^6y^9

Answer:

Go online and do research, I'm pretty sure you have websites around your area that is looking for tutors

Step-by-step explanation:

Answer:

2x² - 19x + 42

Step-by-step explanation:

We want to expand (x - 6)(2x - 7) into a trinomial.

We use the FOIL (first, outer, inner, last) method.

First, multiply the first terms of each parenthetical expression; in the first one, that's x, and in the second, that's 2x:

x * 2x = 2x²

Next, multiply the outer terms; in the first one, that's x, and in the second, that's -7:

x * (-7) = -7x

After that, multiply the inner terms; in the first one, that's -6 and in the second, that's 2x:

(-6) * 2x = -12x

Finally, multiply the last terms; in the first one, that's -6 and in the second, that's -7:

(-6) * (-7) = 42

Now, add all these results together:

2x² + (-7x) + (-12x) + 42

2x² - 19x + 42

The answer is thus 2x² - 19x + 42.

~ an aesthetics lover

Answer:

2x²-19x+42

Step-by-step explanation:

x·2x-x·7-6·2x+6·7

2xx-7x-12x+42

2x²-7x-12x

2x²-7x-12+42

Answer:

The answer is true. I hope this helps

Answer:

yes. If there will be Evacuation and emergency procedures then the students can learn about that and can use that when there is an emergency case.

Answer:

0.48 rad/sec

Step-by-step explanation:

From the diagram:

We can find 'x' using trigonometry :

Tanθ = opposite / Adjacent

Opposite = x ; adjacent = 4

Tanθ = x / 4

x = 4tanθ

Let u = 4 and v = tanθ

If dx/dt = 3ft/s ;

dθ/dt when x = 3ft

Differentiate x with respect to t

dx/dt (4tanθ)

Let d/dθ tanθ = sec^2θ

Sec^2θ = 1 / cos^2θ

dθ/dt = 1/4cos^2θdx/dt

dθ/dt = 1/4cos^2θ(3)

dθ/dt = 3/4cos^2θ

When x = 3ft

Cosθ = Adjacent / Hypotenus

Hypotenus = √(4^2 + 3^2

Hypotenuse = √16 + 9 = √25 = 5

Cosθ = 4/5

dθ/dt = 3/4(4/5)^2

dθ/dt = 3/4(16/25)

dθ/dt = 48/100 = 12/25 = 0.48 rad/sec

Answer:

The first three nonzero terms in the Maclaurin series is

[tex]\mathbf{ 5e^{-x^2} cos (4x) }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }[/tex]

Step-by-step explanation:

GIven that:

[tex]f(x) = 5e^{-x^2} cos (4x)[/tex]

The Maclaurin series of cos x can be expressed as :

[tex]\mathtt{cos \ x = \sum \limits ^{\infty}_{n =0} (-1)^n \dfrac{x^{2n}}{2!} = 1 - \dfrac{x^2}{2!}+\dfrac{x^4}{4!}-\dfrac{x^6}{6!}+... \ \ \ (1)}[/tex]

[tex]\mathtt{e^{-2^x} = \sum \limits^{\infty}_{n=0} \ \dfrac{(-x^2)^n}{n!} = \sum \limits ^{\infty}_{n=0} (-1)^n \ \dfrac{x^{2n} }{x!} = 1 -x^2+ \dfrac{x^4}{2!} -\dfrac{x^6}{3!}+... \ \ \ (2)}[/tex]

From equation(1), substituting x with (4x), Then:

[tex]\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}- \dfrac{(4x)^6}{6!}+...}[/tex]

The first three terms of cos (4x) is:

[tex]\mathtt{cos (4x) = 1 - \dfrac{(4x)^2}{2!}+ \dfrac{(4x)^4}{4!}-...}[/tex]

[tex]\mathtt{cos (4x) = 1 - \dfrac{16x^2}{2}+ \dfrac{256x^4}{24}-...}[/tex]

[tex]\mathtt{cos (4x) = 1 - 8x^2+ \dfrac{32x^4}{3}-... \ \ \ (3)}[/tex]

Multiplying equation (2) with (3); we have :

[tex]\mathtt{ e^{-x^2} cos (4x) = ( 1- x^2 + \dfrac{x^4}{2!} ) \times ( 1 - 8x^2 + \dfrac{32 \ x^4}{3} ) }[/tex]

[tex]\mathtt{ e^{-x^2} cos (4x) = ( 1+ (-8-1)x^2 + (\dfrac{32}{3} + \dfrac{1}{2}+8)x^4 + ...) }[/tex]

[tex]\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + (\dfrac{64+3+48}{6})x^4+ ...) }[/tex]

[tex]\mathtt{ e^{-x^2} cos (4x) = ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }[/tex]

Finally , multiplying 5 with [tex]\mathtt{ e^{-x^2} cos (4x) }[/tex] ; we have:

The first three nonzero terms in the Maclaurin series is

[tex]\mathbf{ 5e^{-x^2} cos (4x) }= \mathbf{ 5 ( 1 -9x^2 + \dfrac{115}{6}x^4+ ...) }[/tex]

Answer:

6.6×10²¹

Step-by-step explanation:

6,600,000,000,000,000,000,000 → there are 21 place values after the first non-zero number ''6''

to convert to standard form, we move the decimal point after the first non-zero number.  

6,600,000,000,000,000,000,000.0 ← decimal in the end

the decimal will be moved, all the digits after the decimal are counted and they will resemble the index.

6.6×10²¹  

Answer: $18.90

Step-by-step explanation:

multiply both by 15

subtract from each other

Answer:

c because u can split it only once vertically but it’s not a rotationally symmetrical shape

Step-by-step explanation:

Answer:

1a. either AC ≅ DF or AB ≅ DE

1b. <A ≅ <D

2a. B

2b. D

Step-by-step explanation:

Answer:

≈ 3 mg

Step-by-step explanation:

Dosing mass calculation formula is:

Dosing mass

Converting to kg

Loading dose

Answer: systematic

Step-by-step explanation:

Given, When grading English papers, the instructor checks every 4th paper for plagiarism which expresses a fixed periodic interval.

Hence, this is systematic sampling.

Answer: x=1, y=-4

Step-by-step explanation:

There are different ways to solve system of equation

In your case, since they are all put y on one side, then we should use substitution.

we should substitute y

-7x+3=-x-3

-7x+x=-3-3

  -6x=-6

      x=1

--------------------------

substitute x into any one of the equation to find y

y=-7x+3

y=-7×1+3

y=-7+3

y=-4

y=-x-3

y=-1-3

y=-4

#CarryOnLearning

Answer:

when the lines are opposite and doesnot intersect at any point then the lines are parallel

for example the opposite lines of parallelogram are parallel

when the lines cut each other at one point then we can say that lines are intersecting

hope it helps u

Answer:

When thè lines are parellel and opposte to each other then it is called parellel lines.

When thè lines intersect each other and meet at a point then it is called intersecting lines.

Answer:

81π for the x axis.

Step-by-step explanation:

STEP ONE: Determine the intersection.

we are given from the question that y = x^2 and y = 6x − x^2. Therefore if y = x^2, then we will have;

x^2 = 6x - x^2  ---------------------------------------------------------------------------------[1].

Solving and factorizing the equation [1] above give us x = 0 and x = 3 (that is x[6 -2x] = 0 ). Therefore, the point of intersection = (0,0) and (3,9).

STEP TWO: Determine the value for the cross sectional area.

The cross sectional area= [6x - x^2]π - [x2]^2 π. --------------[2].

The cross sectional area = -12 π[x -3]x^2.

STEP THREE: integrate the cross sectional area taking x =3 and x =0 as the upper and lower integration limits or boundaries with respect to dx to determine the vome in the x axis.

volume, v with respect to the x axis = 81π

Answer:

x+5=x÷7+12=x-7=10 it is 30

Answer:

30

Step-by-step explanation:

Given number is x, then:

The number is 30

Answer:

the LCM would be 8 based on the following set of multiples: Multiples of 2: 2, 4, 6, 8, 10, 12, 14, ... Multiples of 8: 8, 16, 24, 32, 40, 48, 56, ...

Step-by-step explanation:

Complete Question

The  complete question is shown on the first uploaded image  

Answer:

The interval is  [tex]-0.0037 < p_1-p_2<-0.0023[/tex]

Step-by-step explanation:

From the question we are told that

   The first  sample size is  [tex]n _1 = 1068000[/tex]

    The  first sample proportion is [tex]\r p_1 = 0.089[/tex]

    The  second sample  size is  [tex]n_2 = 1476000[/tex]

    The  second sample proportion is  [tex]\r p_2 = 0.092[/tex]

Given that the confidence level is  95% then the level of significance is mathematically evaluated as

             [tex]\alpha = (100 - 95 )\%[/tex]

              [tex]\alpha = 0.05[/tex]

Next we obtain the critical value  of  [tex]\frac{\alpha }{2}[/tex]  from the normal distribution table  

The value is  

               [tex]Z_{\frac{\alpha }{2} } =z_c= 1.96[/tex]

Generally the 95% confidence interval is mathematically represented as

       [tex](\r p_1 - \r p_2 ) -z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2}} < (p_1 - p_2 ) < (\r p_1 - \r p_2 ) +z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2}}[/tex]

Here  [tex]\r q_1[/tex] is mathematically evaluated as [tex]\r q_1 = (1 - \r p_1)= 1-0.089 =0.911[/tex]

and  [tex]\r q_2[/tex]  is mathematically evaluated as  [tex]\r q_2 = (1 - \r p_2) = 1- 0.092 = 0.908[/tex]

So

       [tex](0.089 - 0.092 ) -1.96 \sqrt{ \frac{0.089* 0.911 }{1068000} + \frac{0.092* 0.908 }{1476000}} < (p_1 - p_2 ) < (0.089 - 0.092 ) +1.96 \sqrt{ \frac{0.089* 0.911 }{1068000} + \frac{0.092* 0.908 }{1476000}}[/tex]

[tex]-0.0037 < p_1-p_2<-0.0023[/tex]

Answer:

470.

Step-by-step explanation:

The units digit 7.

As this is greater than 4 we  add 1 to the tens digit.  ( 6 + 1 = 7), and the units digit becomes 0.

Answer:

399.17 miles

Step-by-step explanation:

Gunnar's car gets 22.4 miles per gallon. His gas tank can hold 17.82 gallons of gas.

Gunnar's car travels with one gallon of gas = 22.4 miles

He can travel with 17.82 gallon of gas = 17.82 × 22.4

                                                             = 399.168 ≈ 399.17 miles

Gunnar can travel 399.17 miles if he uses all of the gas in the gas tank.

i believe its 4

Step-by-step explanation:

Answer:

28 mph

Step-by-step explanation:

Distance

Time

Average speed

The difference with allowed speed

Answer:

28mph

Step-by-step explanation:

Answer: 6062

Add Parentheses

[tex](6.2*10)+(6*10^3)[/tex]

Note: Always Multiply the Parentheses first!

Multiply

[tex]6.2*10=62[/tex]

[tex]6*10^3=6000[/tex]

How is 6×10^3 6000?

Before you multiply the whole equation you first Multiply 10 3 times. This is called an Exponent. In my own words, an exponent is a number that tells you how many times to multiply that number. So if we had 6^2 I will multiply 6×6 2 times. So we multiply 10×10×10 and get 1000. Then we multiply 6×1000 and get 6000.

Add

Since the final step is to add we Add the answer we got for 6.2×10 and 6×10^3.

Therefore we are adding 62*6000 and we get 6062.

Answer:

= -35x² - 31x - 6

Step-by-step explanation:

(-7x -2)(5x+3) = -7x*5x -7x*3 -2*5x -2*3 = -35x² - 21x - 10x - 6

= -35x²  - 31x - 6

Answer:

15x^2+2

Step-by-step explanation:

(10x^2 -1 + 4x) + (3 + 5x^2 - 4x)

Combine like terms

10x^2+5x^2+4x-4x-1+3

15x^2+2

Answer:

Step-by-step explanation:

[tex]3(x+2)=2(2-x)\\\\\mathrm{Expand\:}3\left(x+2\right):\quad 3x+6\\\\\mathrm{Expand\:}2\left(2-x\right):\quad 4-2x\\\\3x+6=4-2x\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\3x+6-6=4-2x-6\\\\3x=-2x-2\\\\\mathrm{Add\:}2x\mathrm{\:to\:both\:sides}\\\\3x+2x=-2x-2+2x\\\\Simplify\\\\5x=-2\\\\Divide\:both\:sides\:by5\\\\\frac{5x}{5}=\frac{-2}{5}\\\\x=-\frac{2}{5}[/tex]