The width of rectangle is 6 fr less than the lengthThe area of the rectangle is 247f Find the lengthand with of the rectangle

Answer:

x = 6.67 inches

Step-by-step explanation:

Set upa s a proportion

x/60 = 1/9

x = 1/9 * 60

x = 6.67 inches

Answer:

One number is 60 and the other is 7.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify and set up

Let x be one number and y be the other.

x + y = 67

x - y = 53

Step 2: Solve for x

Elimination

Step 3: Solve for y

Answer:

6

Step-by-step explanation:

We can find the sum by find all 4 terms

n=1

(-1) (( 3*1)+2) = -1 *5 = -5

n=2

(-1)^2 ( 3*2 +2) = 1(6+2) = 8

n= 3

(-1)^3 ( 3*3+2) = -1 ( 9+2) = -11

n=4

(-1)^4 (3*4 +2) = 1( 12+2) = 14

Add them together

-5+8-11+14

6

Answer:

C. 6

Step-by-step explanation:

hope this helps :)

Answer:

No graph was put in, but heres a helpful answer.

Step-by-step explanation:

There is no graph, but

Y=-1(2x-2)+1

y=-2x+2+1

y=-2x+3

The required graph has been attached below that represents the equation of the parabola y = – (x – 1)² + 1.

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c.

The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

The equation of the parabola is given in the question, as follows:

y = – (x – 1)² + 1

As we know that parabola is, an open curve is a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

Here, (1,1) is most likely to be the relative maximum for this graph.

The required graph has been attached below that represents the equation y = – (x – 1)² + 1.

Learn more about the parabola here:

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Answer:

if I'm not wrong the answer should be 403,000

Answer:

22 people

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

11/4

Applying the fractions formula for division,

11x8

4x1

Simplifying 88/4, the answer is

Answer:

[tex]s \ne \±2[/tex]

[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]

[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]

Step-by-step explanation:

Given

[tex]3sx_1 +5x_2 = 3[/tex]

[tex]12x_1 + 5sx_2 =2[/tex]

Required

Determine the value of s

Express the equations as a matrix

[tex]A =\left[\begin{array}{cc}3s&5\\12&5s\end{array}\right][/tex]

Calculate the determinant

[tex]|A|= (3s*5s -5 *12)[/tex]

[tex]|A|= (15s^2 -60)[/tex]

Factorize

[tex]|A|= 15(s^2 -4)[/tex]

Apply difference of two squares

[tex]|A|= 15(s -2)(s + 2)[/tex]

For the system to have a unique solution;

[tex]|A| =0[/tex]

So, we have:

[tex]15(s -2)(s+2) = 0[/tex]

Divide both sides by 15

[tex](s -2)(s+2) = 0[/tex]

Solve for s

[tex]s -2 = 0\ or\ s +2 = 0[/tex]

[tex]s = 2\ or\ s = -2[/tex]

The result can be combined as:

[tex]s =\±2[/tex]

Hence, the system has a unique solution when [tex]s \ne \±2[/tex]

Next, we solve for s using Cramer's rule.

We have:

[tex]mat\ x_1 = \left[\begin{array}{cc}3&5\\2&5s\end{array}\right][/tex]

Calculate the determinant

[tex]|x_1| = (3 * 5s - 5 *2)[/tex]

[tex]|x_1| = 15s - 10[/tex]

So:

[tex]x_1 =\frac{|x_1|}{|A|}[/tex]

[tex]x_1 = \frac{15s - 10}{15(s -2)(s+2)}[/tex]

Factorize

[tex]x_1 = \frac{5(3s - 2)}{15(s -2)(s+2)}[/tex]

Divide by 5

[tex]x_1 = \frac{3s - 2}{3(s -2)(s+2)}[/tex]

[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]

Similarly:

[tex]mat\ x_2 =\left[\begin{array}{cc}3s&3\\12&2\end{array}\right][/tex]

Calculate the determinant

[tex]|x_2| = 3s * 2 - 3 * 12[/tex]

[tex]|x_2| = 6s- 36[/tex]

So:

[tex]x_2 =\frac{|x_2|}{|A|}[/tex]

[tex]x_2 = \frac{6s- 36}{15(s -2)(s+2)}[/tex]

Factorize

[tex]x_2 = \frac{6(s- 6)}{15(s -2)(s+2)}[/tex]

Divide by 3

[tex]x_2 = \frac{2(s- 6)}{5(s -2)(s+2)}[/tex]

[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]

Answer:

the answer is 8/6.

Step-by-step explanation:

8/6 x 3/8 is 24/48 which can be reduced several times to the lowest it can be which is 1/2.

Answer:

center=(-6, 1)

radius=√9= 3

Step-by-step explanation:

(x-h)^2 + (y-k)^2=r^2

Answer:

2x

Step-by-step explanation:

Complete answer

Answer:

2x

Step-by-step explanation:

Mental math is just better

Answer:

9.0

Step-by-step explanation:

x = 7 / cos 39°

= 7 / 0.7771

= 9.0

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: LET'S \: SOLVE}} : [/tex]

[tex] \large{\boxed{ \tt{☄TOTAL \: SURFACE \: AREA \: OF\: CYLINDER= 2\pi \: r \: ( \: r + h)}}}[/tex]

- Plug the values & then simplify !

[tex] \large{↦2 \times \frac{22}{7} \times 6(6 + 25) }[/tex]

[tex] \large{↦2 \times \frac{22}{7} \times 6 \times 31}[/tex]

[tex] \boxed{\large{↦1169.14 \: \tt{ {cm}^{2} }}}[/tex]

✺ Stay dedicated because great things takes time! ♪

シHope I helped! ♡

☃Have a wonderful day / evening ! ☼

# StayInAndExplore !☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

length =29m width =11m

Step-by-step explanation:

length---L

width -----W

L=3W-4

area=319sqm

area of rectangle=L × W

area of rectangle =W ×(3W - 4)=319

expanding...

3W^2 - 4W=319

3W^2 - 4W -319=0

factorize

(W-11)(3W+29)=0

W=11 or -29/3

using the positive because the negative width with a minus sign does not make sense in real life, we use 11m

width =11m

length 3W -4=3(11) -4 =29m

The standard deviation of the data will be;

⇒ 4.13

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The data set is,

⇒ 23, 19, 28, 30, 22

Now,

Since, The data set is,

⇒ 23, 19, 28, 30, 22

Hence, The mean = 23 + 19 + 28 + 30 + 22 / 5

                            = 122/5

                            = 24.4

So, The standard deviation is;

√ (23 - 24.4)² + (19 - 24.4)²+(28 - 24.4)² + (30 - 24.4)² + (22 - 24.4)²/ (5-1)

⇒ √ 1.96 + 29.16 + 12.96 + 31.36 + 5.76 / 4

⇒ √ 81.2/4

⇒ √20.3

⇒ 4.13

Thus, The standard deviation of the data will be;

⇒ 4.13

Learn more about the standard deviation visit:

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To calculate the standard deviation of the data set, we can use the formula:

$$ \sigma = \sqrt{\frac{1}{n}\sum_{i=1}^{n} (x_i - \mu)^2} $$

Where:

$x_i$ is each data point

$\mu$ is the mean of the data set

$n$ is the number of data points

For the data set given, the mean is $\mu = 24.4$

Plugging in the values into the formula, we get:

$$ \sigma = \sqrt{\frac{1}{5}\sum_{i=1}^{5} (x_i - 24.4)^2} = \sqrt{\frac{1}{5}( (23-24.4)^2 + (19-24.4)^2 + (28-24.4)^2 + (30-24.4)^2 + (22-24.4)^2 )} $$

After evaluating the expression, we get:

$$ \sigma = \sqrt{\frac{1}{5}(1.96 + 5.76 + 3.36 + 5.76 + 0.36)} = \sqrt{\frac{1}{5}(18.2)} = \sqrt{3.64} = 1.91 $$

So the standard deviation of the data set is 1.91.

To learn more about data set please click on below link.

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Answer:

9

Step-by-step explanation:

Answer:

y = - x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line

m = [tex]\frac{0-9}{9-0}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1

The line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = - x + 9 ← equation of line

Answer:

40+39=79

Step-by-step explanation:

10 times 4+30+9

40*39=79

Answer:

Area = 52.81 square inches

Step-by-step explanation:

[tex]Diameter = 8.2in\\\\Radius = \frac{diameter}{2}=\frac{8.2}{2}=4.1in\\\\Area \ of \ a \ circle = \pi r^2 = \pi \times 4.1^2 = 52.81 in^2[/tex]

Answer:

C. 60° and 80°

Step-by-step explanation:

Sum of triangle = 180°

Therefore,

8x + 4 + 6x - 2 + 10x + 10 = 180

Add like terms

8x + 6x + 10x + 4 - 2 + 10 = 180

24x + 12 = 180

24x = 180 - 12

24x = 168

x = 168/24

x = 7

Find each measure of the angles by substitute x = 7 into each expression

8x + 4 = 8(7) + 4 = 60°

6x - 2 = 6(7) - 2 = 40°

10x + 10 = 10(7) + 10 = 80°

The answer is 60° and 80°

Answer:

126.5 cm^2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

253[tex]cm^{2}[/tex]

Step-by-step explanation:

11 times 23 =253[tex]cm^{2}[/tex]

Answer:

a. 1.059

Step-by-step explanation:

Test statistics is used in hypothesis testing to find the conclusion. Test statistics are T-values which are used in testing a hypothesis and deciding whether to accept or reject the null hypothesis.

Test statistics can be calculated with the following formula:

Z = x - u / s /[tex]\sqrt{n}[/tex]

Answer:

Step-by-step explanation:

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Answer:

2x = 44

Step-by-step explanation:

115+94+107+2x = 360

2x = 360 -316 = 44

x = 22

Answer:

Step-by-step explanation:

115+94+107+2x=360 degree(sum of interior angles og four angles is always 360 degree)

2x+316=360

2x=360-316

x=44/2

x=22

substitute the value of x in 2x

=2x

=2*22

=44

Answer:

I'm not sure but I did do it on a calculator so 1.515-1.56= -0.045

Answer:

D. is your answer

Step-by-step explanation:

Answer:

A'(0,20), B'(16,12), C'(8,4)

Step-by-step explanation:

Assuming the dilation is about the origin,

then after the dilation with a factor of 2, all coordinates will be doubled.

A(0,10) => A'(0,20)

B(8.6) =>  B'(16,12)

C(4.2) => C'(8,4)

So the answer is A'(0,20), B'(16,12), C'(8,4)

Answer:

f(-4) = 72, f(x + 5) = 3x² + 23x + 36

Step-by-step explanation:

f(-4) = 3(-4)² - 7(-4) - 4

      = 48 - (-28) - 4

f(-4) = 72

f(x + 5) = 3(x + 5)² - 7(x + 5) - 4

           = 3(x + 5)(x + 5) - 7(x + 5) - 4

           = 3(x² + 10x + 25) - 7(x + 5) - 4

           = 3x² + 30x + 75 - 7x - 35 - 4

f(x + 5) = 3x² + 23x + 36