28. Pay attention to the height data (cm) of the following 10 students! 155, 153, 153, 160 157, 155. 160, 155, 150, 155 The data mode is Your :
A. 150
B. 153
C. 155
D. 157​

The equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.

The equation of the line is the way of representation of a line in the equation form.

The equation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

[tex]y=mx+c[/tex]

Here, (m) is the slope of the line and (c) is the y intercept.

This line is parallel to the line which has to be find out is,

[tex]y=-5x+4[/tex]

As the parallel lines have same slope. Thus, the line which is required to find has a slope of -5.

Compare with standard equation of line, we get the slope of the line,

[tex]m=-5[/tex]

Thus, the equation of line become,

[tex]y=-5x+c[/tex]

The line passes through (1,2). Put these values in the above equation as,

[tex]2=-5(1)+c\\2=-5+c\\c=2+5\\c=7[/tex]

Thus, the equation become,

[tex]y=-5x+7[/tex]

Hence, the equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.

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diameter=4ft=12(4)=48in

So

Area of table:-

Area of platter:-

Difference:-

Answer:

1554.3 in²

Step-by-step explanation:

Given information:

1 foot = 12 inches

⇒ 4 ft = 4 × 12 = 48 in

Radius = ¹/₂ diameter

⇒ Radius of table = ¹/₂ × 48 in = 24 in

⇒ Radius of platter = 24 in - 15 in = 9 in

Area of a circle = πr²

⇒ Area of table = 3.14 × 24² = 1808.64 in²

⇒ Area of platter = 3.14 × 9² = 254.34 in²

Difference = area of table - area of platter

                  = 1808.64 - 254.34

                  = 1554.3 in²

Answer:

5^(3)i^(9)= five cubes times i to the power of 9=125i

Step-by-step explanation:

Raise 5 to the power of 3

rewrite i9 as (i^4)2^i

so, you get 125((i^4)^2i)

i^4=1

125(1^2i)

125i

Tan(-pi/12) = sqrt(7-4sqrt(3)) = -2 + sqrt(3)

answer: -2 + sqrt(3)

Answer:

1/10 of the members

Step-by-step explanation:

first, see how much is between [tex]2\frac{1}{4}[/tex] and [tex]3[/tex]. you can only see one. then count the number of x's, that's the number of members, and your denominator.

Answer:

62.83185

Step-by-step explanation:

C=2πr=2·π·10≈62.83185

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Circumference of circle is :

[tex]\qquad \tt  \dashrightarrow \:\pi d[/tex]

where,

[tex]\qquad \sf  \dashrightarrow \:c = 20 \pi \: \: cm[/tex]

Now, let's plug approximate value of pi

[tex]\qquad \sf  \dashrightarrow \:c = 20 \times 3.14\: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 62.8 \: \: cm[/tex]

Using proportions, it is found that her discount is of $0.29664.

A proportion is a fraction of a total amount.

In this problem, the total amount she spent on gas is given by:

T = $45.23 + $102.34 + $13.67 + $34.56 + $48.72 + $52.12 = $296.64.

Considering that she receives ten cents off per gallon on gas for every $100 she spends, we apply the proportion to find that her discount is given by:

[tex]D = 0.1 \times \frac{296.64}{100} = 0.29664[/tex]

Her discount is of $0.29664.

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Answer:

X^8/3

Step-by-step explanation:

When transforming radical expressions to rational exponents, the radicand (8) becomes the numerator of the rational exponent. And the index, or root (3) of the radical becomes the denominator of the rational exponent.

Answer:

440 more tshirtS

Step-by-step explanation:

because if you do 70x4=280 then 20x4=80 280+80=360 800-360=440

70×4=280+20×4-800

Answer:

A rational number is a number that can be expressed as a fraction of two integers.

if  x²=2 then x=√2, but √2 is an irrational number (not rational), so there is no rational number x that satisfies x² = 2.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

Answer:

20/4=c

Step-by-step explanation:

You can tell that that is the right answer, because 20-4=c means that each person would get 16 cards, and if you multiply that by 4(the amount of people that are playing) It's way more than 20 cards, so you know that 20/4=c is the right answer. Hope that helped;)

Answer:

A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals.

[tex]~~~~~\dfrac 13 \ln\left(x^6 \right) +\dfrac 12 \ln\left(x^2\right) = \ln x^a\\\\\implies \ln \left(x^6 \right)^{\tfrac 13} + \ln \left(x^2 \right)^{\tfrac 12} = \ln x^a\\ \\\implies \ln x^2 + \ln x = \ln x^a\\\\\implies \ln(x^2 \cdot x) = \ln x^a \\\\\implies \ln x^3 = \ln x^a\\ \\\implies 3 \ln x = a \ln x\\\\\implies a =3[/tex]

Answer:

121.1

Step-by-step explanation:

The measurement j will be 121.1

Law of sine says that ratio of sine of an angle and its opposite side is always same for every 3 angles of the triangle and their opposite sides.

In ΔABC,

sinA/a = sinB/b = sinC/c

in the given triangle ΔIJK

∠J=34°

∠I=72°

i=206

So, using law of sine,

sinI/i = sinJ/j

⇒sin72°/206=sin34°/j

⇒j=(sin34°/sin72°)*206

⇒j=121.1

Therefore, the value of j will be 121.1

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[tex]Elsa:y_1=70x+180[/tex]

[tex]brian,y_2=100x[/tex]

[tex]Rnown\ by\ the\ topic,[/tex]

[tex]Assuming\ that\ the\ Elsa\ amount\ of\ money\ is\ y_1,[/tex]

[tex]Brian's\ amount\ of\ money\ is\ y_2[/tex]

[tex]so,y_1=70x+180[/tex]

[tex]\{put\ in\ \$70\ per\ month,\ storting\ amount\ of[/tex]

[tex]y_2=100x[/tex]

[tex]\{\ put\ in\ \&\ 100\ per\ month,\ no\ starting\ emount[/tex]

[tex]\{\$70,\ \$100\ are\ monthly\ voriation,[/tex]

[tex]\$180\ is\ fixed\ value?[/tex]

I hope this helps you

:)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Circumference of a circle :

[tex]\qquad \tt \dashrightarrow \:2 \pi r[/tex]

And we have been given that Circumference = 24 cm

So, let's equate them and find radius (r) :

[tex]\qquad \tt \dashrightarrow \:2 \pi r = 24[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{ 24}{2 \pi}[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{ 12}{3.14}[/tex]

[tex]\qquad \tt \dashrightarrow \:r = 3.82 \: \: cm[/tex]

So, we got the radius here. now let's equate it with expression in terms of x to find value of x

[tex]\qquad \tt \dashrightarrow \: \sqrt{x + 2} = 3.82[/tex]

[tex]\qquad \tt \dashrightarrow \:{x + 2} = (3.82) {}^{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:{x } \approx 14.59 - 2[/tex]

[tex]\qquad \tt \dashrightarrow \:{x } \approx 12.59 \: \: cm[/tex]

x = 12.61

===========

[tex]\bold{C = 2\pi r}[/tex]                                     [ C = 24, π = 3.14, r = √x+2 ]

Answer:

Hope the pictures will help you..

Step-by-step explanation:

-10(y-4)+3y=5

-10y +40+3y =5

-7y = -40 +5

-7y=-35

7y = 35

{y= 5}

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

y=5

x=y-4

x=5-4

{x=1}

Answer:

ur right its A

Step-by-step explanation:

Answer:

it would be B because of the lang it and work

Answer:

83%

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

the system is : x+y+z=-6.....(1)

                      x-y+3z=-18.....(2)

                   2x+2y+2z=-8.....(3)

use (3): 2(x+y+z) = - 8    so : x+y+z = -4

use (1) : x+y +z = -6          -6=-4 false

no solutions

Answer:

3286714

Step-by-step explanation:

Let the digits of the number be :

Our given conditions :

Solving :

Solution :

So, the number is :

Answer:

69 m

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{Area of rectangle= length ×width}}[/tex]

Given that the area is 3657 m² and the width is 53 m,

3657= length ×53

Divide both sides by 53:

length= 3657 ÷53

length= 69 m

Answer:

32

Step-by-step explanation:

Add up all the numbers and then divide by how many numbers there are.