Solve the quadratic equation.
m^2/15 -3 = 2​

Answers

Answer 1

The answer is [tex] 5 \sqrt{3} [/tex]

Explanation :

[tex] \frac{ {m}^{2} }{15} - 3 = 2[/tex]

[tex] \frac{ {m}^{2} }{15} = 2 + 3[/tex]

[tex] \frac{ {m}^{2} }{15} = 5[/tex]

[tex] {m}^{2} = 5 \times 15[/tex]

[tex] {m}^{2} = 75[/tex]

[tex]m = \sqrt{75} [/tex]

[tex]m = \sqrt{25 \times 3} [/tex]

[tex]m = \sqrt{25} \times \sqrt{3} [/tex]

[tex]m = 5 \sqrt{3} [/tex]

CMIIW


Related Questions

EXPLAIN why the solution to the absolute value inequality | 4x - 9 | ≥- 12 is all real numbers.

Answers

Answer:

no matter what value you substitute for x, the absolute value will force the result to be a positive number and any positive number is greater than -12

Answer: Since the absolute value of any number is always greater than or equal to zero, then the given inequality holds for every real number.

Explanation: It doesn't matter which number you substitute for x, as the absolute value will convert the number into a positive one, which will always be greater or equal to 0. Hence, every real number can be a possible answer.

There are many cylinders with radius 6 meters. Let hhh represent the height in meters and VVV represent the volume in cubic meters.

Write an equation that represents the volume VVV as a function of the height hhh. Use the symbol for \piππ.

VVV = _______?

Answers

Answer:

Step-by-step explanation:

VVV = πr²(hhh) = 36π(hhh)

The equation that represents the volume of the cylinder is 36πhhh m³.

What is a cylinder?

A cylinder is a three-dimensional object. It is a prism with a circular base.

volume of a cylinder = πr²h

pi =  π = 22/7

r = radius

6² πhhh

36πhhh m³

To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

Will GIVE BRAINLIEST

A ganza is a percussion instrument used in samba music.

a. Find the surface area of each of the two labeled ganzas in terms of π , rounded to the nearest thousandths and as a decimal, round to the nearest whole number.

Surface area of smaller ganza =
π≈
cm2
Surface area of larger ganza =
π≈
cm2
b. The weight of the smaller ganza is 1.1 pounds. Assume that the surface area is proportional to the weight. What is the weight of the larger ganza to the nearest tenth of a pound?

The weight of the larger ganza is about
pounds.

Answers

Answer:

1036.2 sq. cm

Step-by-step explanation:

The surface area of the smaller ganza = 2πr2 + 2πrh

surface area = 2 x 3.14 x 3.5 x 3.5 + 2 x 3.14 x 3.5x 10

surface area = 76.93+ 219.8

surface area = 296.73 sq. cm

The surface area of the larger ganza  = 2πr2 + 2πrh

surface area = 2 x 3.14 x 5.5 x 5.5 + 2 x 3.14 x 5.5x 24.5

surface area = 189.97+846.23

surface area = 1036.2 sq. cm

a. The surface area of the smaller ganza is [tex]296.73cm^{2}[/tex]

    The surface area of the larger ganza is [tex]1036.2cm^{2}[/tex]

b. The weight of the larger ganza is [tex]3.84[/tex] pounds.

Surface area :

From given figure,

Radius of smaller ganza ,[tex]r_{1}=3.5/21.75cm[/tex]

height of smaller ganza, [tex]h_{1}=10cm[/tex]

a. The surface area of the smaller ganza is,

              [tex]S_{1}= 2 \pi r^{2} + 2\pi rh[/tex]

              [tex]S_{1}=2 * 3.14 * 3.5 * 3.5 + 2 * 3.14 * 3.5* 10\\\\S_{1}=76.93+ 219.8\\\\S_{1}=296.73cm^{2}[/tex]

The surface area of the larger ganza

               [tex]S_{2}= 2\pi r^{2} + 2\pi rh[/tex]

               [tex]S_{2}= 2 * 3.14 * 5.5 * 5.5 + 2 * 3.14 * 5.5* 24.5\\\\S_{2}= 189.97+846.23\\\\S_{2} = 1036.2 cm^{2}[/tex]

b. Since, the surface area is proportional to the weight.

and The weight of the smaller ganza is 1.1 pounds.

            [tex]\frac{1.1}{w}=\frac{296.73}{1036.2}\\ \\ w=\frac{1036.2*1.1}{296.73}\\ \\w=3.84[/tex]

Learn more about the surface area here:

https://brainly.com/question/16997207

de mediaan 8/10 - 7/10 - 7/10 - 3/10 - 4/10 - 0/10 - 10/10 - 5/10 - 3/10 - 1/10

Answers

Answer:

The fifth and sixth number would be the median.Therefore its 4/10 or 0/10

Answer:

median is 4/10 or 0/10

CAN SOMEONE HELP ME PLEASE

Answers

I don’t like he fact that they have so much unnecessary information I think they’re just wanting you to find the area of the rectangle A=b*h

B=8+8=16
H=8

16*8=128in

Given m||n, find the value of x.
(10x-2)
(9x+5)°

Answers

Answer:

1.   2(5x-1)

2. 1

Step-by-step explanation:

Suppose a city with population 300000 has been growing at a rate of ​3% per year. If this rate​ continues, find the population of this city in 17years.

Answers

Throw it away ekkeeoekememekememememe lolll

Find C. Leave your answer in simplified radical form.

Answers

9514 1404 393

Answer:

  7√2

Step-by-step explanation:

The triangle is a "special triangle", an isosceles right triangle. The side lengths of this triangle have the ratios 1 : 1 : √2. Multiplying these ratio values by 7, the length of the leg, you find ...

  c = 7×√2

  c = 7√2

_____

If you like, you can go through the Pythagorean theorem and/or trigonometry to find the same thing.

  7/c = sin(45°)

  c = 7/sin(45°) = 7/(1/√2) = 7√2

Or ...

  c² = 7² + 7² = 98 . . . . using the Pythagorean theorem*

  c = √98 = 7√2

__

* This requires you recognize the triangle is isosceles, so the other leg is also 7. Of course, you know that as soon as you see a 45° acute angle in a right triangle.


Make a conjecture of what the x-intercepts of the function
f(x) = (2x - 1)(x + 3) will be.

Answers

Answer:

x=-3,x1/2

Step-by-step explanation:

f(x)=(2x-1)(x+3)

TI find x intercept/zero substitute

f(x)=0

0=(2x-1)x(x+3)

swap the sides of the equation

(2x-1)x(x+3)=0

when the product of factors equals 0,at least one factor is zero

2x-1=0

x+3=0

solve the equation for x

x=1/2

x+3=0

solve the equation of x

x=-3

The equation has two solution

x=-3

x=1/2

The Beechcraft 1900D is a commuter airplane with a fuel capacity of 665 gallons. The function that represents how the amount of fuel changes as a function of distance flown is f(x)=−0.9x+665, where x represents miles flown, and f(x) represents the amount of fuel remaining. What is the rate of change for this scenario?

Answers

Given:

The  function that represents how the amount of fuel changes as a function of distance flown is

[tex]f(x)=-0.9x+665[/tex]

where x represents miles flown, and f(x) represents the amount of fuel remaining.

To find:

The rate of change for this scenario.

Solution:

The slope intercept form of a linear function is

[tex]y=mx+b[/tex]        ...(i)

Where, m is the slope or rate of change and b is the y-intercept.

We have,

[tex]f(x)=-0.9x+665[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]m=-0.9[/tex]

Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.

Find the measure of 14x+7+44+9x+3=180?​

Answers

61° is the measure of <STW

How to find the measure of <STW?

To solve this problem, we need some angle geometry knowledge

Given: <SRT = 44°, <RST = 9x+3, <RTW = 14x+7

<RTW = <SRT + <RST (exterior angle of a triangle is equal to the sum of opposite interior angles)

14x+7 = 44 + 9x+3

14x -9x = 44+3-7

5x = 40

x = 40/5 = 8

<STW + <RTW = 180 (sum of angles on a straight line)

<STW = 180 - <RTW

<STW = 180 - (14x+7)

Substitute x = 8:

<STW = 180 - (14(8) +7)

<STW = 180- 119 = 61°

Therefore, the measure of <STW is 61°

Learn more about angle geometry on:

brainly.com/question/24775470

#SPJ1

HELP PLSSS, 20 POINTSSS

Answers

Answer:

m1=43

Step-by-step explanation:

78-35=43

I need help please help me

Answers

Answer:

8×3x - 8×y

Step-by-step explanation:

24x-8y this is the answer

A 2-column table with 4 rows. The first column is labeled x with entries 0, 5, 10, 15. The second column is labeled y with entries 15, 10, 5, 0.
What is the correlation coefficient for the data shown in the table?

1
-1
5
10

Answers

Answer:

10

Step-by-step explanation:

What is the solution of the system of equations?
x + 3y= -4
3x + 9y = –12
A. (-1,-1)
B. no solution
C. infinely many solutions
D. (1,3)

Answers

The answer for your question is B. There is no way of solving this that would come out to a full answer of just a number.

Kaytelyn makes $10 an hour and receives weekly bonus of $25. How many hours dose she need to work this week to make more than $250

Answers

Answer:

$22.5

Step-by-step explanation:

[tex]250\leq 10x +25\\225\leq 10x\\x\geq 22.5[/tex]

A class used cars and vans to go on a field trip because all of the buses were already in use. They Used 10 vehicles to go on the trip. Each car holds 5 students and each van holds 13 students. If 82 students went on the trip, then how many of each type of vehicle did the class use?

Answers

Answer:

4 vans, 6 cars

Step-by-step explanation:

6 cars , 4 vans hope it helped

plz help fast i have to find the surface area of a 3d shape

Answers

label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area. Hope this helps! plz mark brainliest if possible

Step-by-step explanation:

Whats the answer to this i can't figure it out can someone help.

Answers

Answer:

D!

Step-by-step explanation:

TRUST ME :) SINCE IT'S A RIGHT ANGLE YOU DO 90 DEGREES MINUS THE NUMBER IT GIVES, 38 TO GET 52. THEN YOU DIVIDE 52 BY 2 BECAUSE THERE'S OLP AND NLO :))) you get 26 after that. I hope I helped!

The following information below shows the number of employees working 4 days in an office in a week. Draw a pie chart to display the information. Monday 180 Tuesday 140 Wednesday 120 Thursday 160

Answers

Monday 30%
Tuesday 23.3%
Wednesday 20%
Thursday 26.7%

Answer:

989

Step-by-step explanation:

cómo se calcula las medidas de un rectángulo solo sabiendo cuánto mide el area​

Answers

Is this in Spanish?

I’ll give the Brainliest to who answers this question with a reasonable explanation.


The distance that a object covered in time was measured and recorded in the table. What equation would describe this motion?

A) y = 2x + 1

B) y = 3x + 1

C) y = 2x

D) y = 3x


Thank you.

Answers

Answer:

D y=2x

Step-by-step explanation:

Using slope formula change in y over change in x

[tex] \frac{2}{1} [/tex]

the slope is 2 and when we plug the x value in it gives us our corresponding y value so the answer is D

help me plz i don’t do math and it’s hard

Answers

3,4,0,2 should be the answer.

Item 7
Find the missing length of the triangle.

Answers

Answer:

35/3yd

Step-by-step explanation:

One inch equals 2.54cm.A ribbon 100in.long is how many cmlong?​

Answers

Answer:

fesgqwa

Step-by-step explanation:

Answer:

254 cm

Step-by-step explanation:

multiply the 100 by the 2.54

A total of 915 people attended a music festival at the park of these people 520 arrived before noon using estimation how many people arrived in the afternoon to the nearest hundred people?

Answers

Answer:

Step-by-step explanation:

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Evaluate : 2X+ 9 when x = -5
А
-10
00
10
C
-1
D
2
E
1

Answers

2x + 9

=2(-5) + 9

= -10 +9

= -1

Answer:

That would be C. -1

What is the positive solution to this equation?

3x2−20x=7

Answers

Answer:

6-20x=7

-20x= 7-6

-20x=14

-20×/20=14/20

×=14/20

point G is rotated 90°. the coordinate of the pre-image G was (7,-5), and it’s image G’ is at the coordinate (5,7). What is the direction of the rotation

Answers

Answer:

The Direction of the rotation is counterclockwise around the origin.

What was Given was that Point G is rotated 90°. The coordinate of the pre-image point G was (7, –5), and its image G’ is at the coordinate (5, 7).

What you need to find was : What is the direction of the rotation.

So coming to conclusions is we have given that Point G is rotated 90°.

The Pre-image of G = ( 7, -5).

Translated image G' = ( 5 ,7).

By the Rotation rule of 90° is : (-y, x) 90 degree rotation counterclockwise around the origin.

(y, -x) 90 degree rotation clockwise about the origin.

We can from G (7,-5) and G'( 5 ,7) it is rotation counterclockwise around the origin.

Therefore, Direction of rotation is counterclockwise around the origin.

Step-by-step explanation:

ASSESSMENT
Solve for the following problems.
1. 30 is 15% of what number?
2. What is 78% of 100?
3. 8 is what percent of 16?
4. What percent of 35 is 7?
5. 22% of what number is 66?
6. 24% of 300 is what number?
7.12 is 40% of what number?
8. What is 90% of 30?
9.7 is what percent of 14?
10. What percent of 45 is 9?​

Answers

Answer:

1. 200

2. 78

3. 50%

4. 20%

5. 14.52

6. 72

7. 30

8. 27

9. 50%

10. 20%

I hope this helps:D

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