simplify -5(3m2 + 7n2) + 8n2

Answers

Answer 1

Answer:

-15m² - 27n²

Step-by-step explanation:

-5(3m² + 7n²) + 8n²

Expand brackets.

-15m² + -35n² + 8n²

Combine like terms.

-15m² + -27n²

Answer 2

Answer:

[tex]\boxed{\red{= - 3(5 {m}^{2} + 9 {n}^{2} )}}[/tex]

Step-by-step explanation:

[tex] - 5(3 {m}^{2} + 7 {n}^{2} ) + 8 {n}^{2} \\ - 15 {m}^{2} - 35 {n}^{2} + 8 {n}^{2} \\ = - 15 {m}^{2} - 27 {n}^{2} \\ = - 3(5 {m}^{2} + 9 {n}^{2} )[/tex]


Related Questions

What has to be broken before you use it?

Answers

Answer:

An egg has to be broken before you use it

simplify the expression (x - 2y) + (3x + 4y)

Answers

Simplifying the expression (x - 2y) + (3x + 4y).

Work:

(x - 2y) + (3x + 4y)

Combine like terms.

x + 3x = 4x

-2y + 4y = 2y

Reform the expression.

4x + 2y

Simplified Expression: 4x + 2y.

After losing 3 baseball cards, Peter gave half of his remaining cards to Bobby. If Peter gave Bobby 9 baseball cards, how many cards did Peter start with?

Answers

Answer:

Peter started with 21 cards

Step-by-step explanation:

half of his card that gave to bobby =9

so the other half is 9

9+9=18

18+3 cards that he lost at the beginning=21

Answer:

Substitute 21 for X in the original equation YES

Substitute any number for X in the original equation NO

Bobby’s claims that x=21 is correct YES

The result of verifying Bobby's work is 9=9 YES

The result of verifying Bobby's work is 21=21 NO

Step-by-step explanation:

got right on edg

A,B and C are three points lying in that order on a straight line. A body is projected from B towards A with speed 3m/s. The body experiences an acceleration of 1m/s² towards C. If BC=20m, find the time taken to reach C and the distance travelled by the body from the moment of projection until it reaches C.​

Answers

Answer:

The total time taken to reach C = 10 s

The total distance traveled by the body = 29 m

Step-by-step explanation:

Whereby the points are vertically oriented, we have;

v = u + at

Where;

a = Acceleration of the body = -1 m/s²

u = Initial velocity = 3 m/s

v = Final velocity, = 0 m/s at maximum height

t = Time taken

0 = 3 + (-1)× t

t = 3 s

The maximum height S is given as follows;

S = u·t  + 1/2·a·t² = 3×3 + 1/2×(-1)×3² = 4.5 m

Therefore, the total distance, [tex]S_t[/tex], from maximum height to C = 45 + 20 = 24.5 m

The total time is given from the total distance as follows;

[tex]S_t[/tex]  = u[tex]_m[/tex]·t[tex]_t[/tex]  + 1/2·a[tex]_d[/tex]·t[tex]_t[/tex]²

Where;

u[tex]_m[/tex] = Initial velocity from the maximum height = 0 m/s

a[tex]_d[/tex] = Downward acceleration = Opposite sign to upward acceleration = 1 m/s²

24.5  = 0·t[tex]_t[/tex]  + 1/2·(1)·t[tex]_t[/tex]²

49 = t[tex]_t[/tex]²

t[tex]_t[/tex] = √ 49 = 7 s

The total time taken to reach C = Initial time to reach maximum height + Time from maximum height = 3 s + 7 s = 10 s

The total time taken to reach C = 10 s

The total distance traveled by the body = Distance from B to maximum height + Distance from maximum height to C

The total distance traveled by the body = 4.5 m + 24.5 = 29 m.

The total distance traveled by the body = 29 m.

a person stands on top of a 200 ft building and spots a person on the ground below. the angle of depression from where the person is standing on top of building to the person on the ground is 39°. How far away are the two people from each other?​

Answers

Answer:

246.979 ft

Step-by-step explanation:

When we draw our picture, we should be able to see that the angle of depression from the point of view is equal to the angle of elevation from the ground. We also know the height, and we are trying to find horizontal x. We must use tan∅ to solve:

tan39° = 200/x

xtan39° = 200

x = 200/tan39°

x = 246.979

Angle BDC measures 42°. What is the measure of angle BAC

Answers

Answer:

42°

Step-by-step explanation:

These traingles are refelctions, A≅D   B≅C

how do you calculate a length of a triangle

Answers

Answer:

Perimeter-width=Length

Hope this helps :)

Answer:

Area- A= b (base) times h (height) divided by 2

Perimeter- P= a+b+c

Step-by-step explanation:

A chef cooked 7 kg of mashed potatoes for a banquet. If the guests only ate 34of the amount he cooked, how much of the potatoes were eaten?

Answers

Answer:

2.38 Kg were eaten

Step-by-step explanation:

first we should divide 34 by 100

the result will be 0.34

then we multiply 0.34 x 7 Kg = 2.38 Kg

Solve for x 5 x + 2 = 7 x − 4 plz help me

Answers

Answer:

3

Step-by-step explanation:

5 x + 2 = 7 x − 4

7x-5x= 2+4

2x= 6

x= 3

Answer:

The value of x in this equation is 3.

Step-by-step explanation:

5x + 2 = 7x - 4

Subtract 7x from both sides of the equation.

-2x + 2 = -4

Subtract 2 from both sides of the equation.

-2x = -6

Divide by -2 on both sides of the equation.

x = 3

Can some one help me

Answers

Answer:

Step-by-step explanation:

divide 4 and 2 then add 2 and 1

Answer:

y = - 4x + 17

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 ) = (4, 1) and (x₂, y₂ ) = (2, 9)

m = [tex]\frac{9-1}{2-4}[/tex] = [tex]\frac{8}{-2}[/tex] = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 1) , then

1 = - 16 + c ⇒ c = 1 + 16 = 17

y = - 4x + 17 ← equation of line

What is the missing value in this table of equivalent ratios?

Answers

Answer:

A

Step-by-step explanation:

follow the pattern  in its timetables,hope this helps u!

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value? Which expression converts 100 inches per minute to feet per minute? Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week? There are 16 cups in a gallon.

Answers

Answer:

0.109589 millimeters per day.

Step-by-step explanation:

10 mm = 1 cm

4 cm = 4 × 10

       = 40 mm

365 days = 1 year

rate to millimeters per day = 40 mm in 365 days

                                           = 40/365  mm/day

                                            = 8/73 mm/day

                                      or    = 0.109589 mm/day.

Rate to millimeters per day = 0.109589 millimeters per day.

Step-by-step explanation:

the first question is the first answer 4cm/1 years x 10mm/1cm x 1 year/ 365 days

the second question is the third answer 100 inches/1 minute x 1 foot/ 12 inches

Can someone help ill mark brainliest.

Answers

Answer:

y=3x+6

Step-by-step explanation:

When creating a slope equationg like this one the slope will always have the x next to it and the y intercept will always be on the end

El entrenamiento de basquet se una situación de una institución educativa debe elegir a uno de los dos deportistas que están en la banca para que ingrese al campo en un partido decisivo durante los juegos deportivos escolares nacionales. Pará tomar la decisión, consulta una tabla con la puntuación de cada uno de ellos en los partidos anteriores. Los puntos anotados por cada deportista de los cinco últimos partidos figuran en la siguiente tabla

Answers

Answer:

los pala de depotistas ingrese banca para tomar la decision

Step-by-step explanation:

What is (1.6x + 7.3) + (–0.6x + 2) – (7.8 – 3.4x), simplified?

Answers

Answer:

4.4x+1.5

Step-by-step explanation:

[tex](1.6x + 7.3) + (-0.6x + 2) - (7.8 -3.4x)\\Ope- the- brackets\\1.6x+7.3-0.6x+2-7.8+3.4x\\Collect-like-terms\\1.6x-0.6x+3.4x+7.3+2-7.8\\4.4x+1.5[/tex]

Answer:

4.4

Step-by-step explanation:

If the computer costs $2150 and Melissa puts
$150 away each month, how long will it take her
to save enough money to buy the computer?

Answers

Answer:

14 months and 1/3 of a month

Step-by-step explanation:

We can find how many months it will take by dividing the cost by the amount she puts away each month:

2150/150 = 14.33

So, it will take her 14 and 1/3 of a month

14 months and 1/3 months

PLS HELP 85 POINTS PLEASE PLEASE PLEASE!!! A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images. Sample 1: 4 Sample 2: 1 Sample 3: 9 How do the sample statistics compare to the population mean and standard deviation?

Answers

Answer:

0.3007 or 30.07%

Step-by-step explanation:n = 6sample proportion: signified by ρSample 1: 4 → 4/6 = 0.67Sample 2: 1 → 1/6 = 0.17Sample 3: 9 → 9/6 = 1.50

multiply the sample proportion by 1-ρSample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75

divide the result by n. n = 6Sample 1: 0.2211/6 = 0.03685Sample 2: 0.1411/6 = 0.02352Sample 3: -0.75/6 = -0.125

square root of the quotient to get the standard error.Sample 1: √0.03685 = 0.1919Sample 2: √0.02352 = 0.1534Sample 3: √-0.125 = invalid

z value 95% confidence 1.96.

Given:

250 sheep in a 40-acre pasture.

250/40 = 6.25 or 6 sheep per acre

n = 6

Sample 1: 4 → 4/6 = 0.67

Sample 2: 1 → 1/6 = 0.17

Sample 3: 9 → 9/6 = 1.50

Sample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211

Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411

Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75

Sample 1: 0.2211/6 = 0.03685

Sample 2: 0.1411/6 = 0.02352

Sample 3: -0.75/6 = -0.125

Sample 1: √0.03685 = 0.1919

Sample 2: √0.02352 = 0.1534

Sample 3: √-0.125 = invalid

z value 95% confidence 1.96.

Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of error

Sample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of error

please mark me brainliest!

I NEED HELP PLEASE, THANKS! :)

Answers

Answer:  tan(14x)

Step-by-step explanation:

Consider the Sum Formula for tan:

[tex]tan(A + B)=\dfrac{tan(A)+tan(B)}{1-tan(A)(tan(B)}\\\\\\tan(9x+5x)=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}\\\\\\\large\boxed{tan(14x)}=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}[/tex]

Answer:

[tex]\tan(4x)[/tex]

Step-by-Step Explanation:

Notice that this resembles the difference identity for tangent. Specifically:

[tex]\displaystyle \tan(\alpha-\beta)=\frac{\tan(\alpha)-\tan(\beta)}{1+\tan(\alpha)\tan(\beta)}[/tex]

So, given our equation, we can pretend that α=9x and β=5x. Therefore:

[tex]\displaystyle \frac{\tan(9x)-\tan(5x)}{1+\tan(9x)\tan(5x)}=\tan(9x-5x)=\tan(4x)[/tex]

Write a linear equation that represents the arithmetic sequence 10, 8, 6, 4, ...

A. an = 10 - 2(n-1)
B. an = 10 + 2(n + 1)
C. an = 2 + 10(n-1)
D. an = 10 + 2(n-1)​

Answers

Answer:

A

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = 8 - 10 = - 2, thus

[tex]a_{n}[/tex] = 10 - 2(n - 1) → A

Answer:

A

Step-by-step explanation:

an = 10 – 2(n – 1)

Find the area of the composite shape...

Answers

Answer:

166cm^2

Step-by-step explanation:

To calculate the area of the composite shape, find the area of rectangle and subtract the area of the triangle from it:

Area of rectangle =  16 x 11 = 176cm^2

Area of triangle = 1/2 x 4 x 5 = 10cm^2.

Since the shape is a rectangle, which the supposed shape of a triangle removed, subtract the area of triangle from that of rectangle:

176-10 = 166cm^2

Hope this helps

Good Luck

Please mark brainiest

Find the value of x needed to make the equation below true. -4(1.5x-5)+4x=26

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

x = -3

▹ Step-by-Step Explanation

-4(1.5x - 5) + 4x = 26

-6x + 20 + 4x = 26

-2x + 20 = 26

-2x = 26 - 20

-2x = 6

x = -3

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: x= -3

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.  

x=-3

-6x+20+4x=26

-2x+20=26

-2x=6

x=-3

How long will it take an airplane to travel 1,250 km if it is traveling at 150 km/hr ?

Answers

Answer:

[tex]\boxed{Time = 8.33 hrs}[/tex]

Step-by-step explanation:

Given:

Distance = S = 1250 km

Speed = v = 150 km/hr

Required:

Time = t = ?  hrs

Formula:

Speed = Distance / Time

Solution:

Rearranging the formula

=> Time = Distance / Speed

=> Time = 1250/150

=> Time = 8.33 hrs

Anyone I need help at this dont type other things. Pls now I need the solution anyone.

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

Since there are 360° in the complete pie chart the 40° represents

360° ÷ 40° = 9 parts of the chart

Since 40° represents 7 cars then there are a total of

9 × 7 = 63 cars in the car park

(b)

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter )

Given C = 28 , then

πd = 28 ( divide both sides by π )

d = [tex]\frac{28}{\pi }[/tex]

02.27.49
Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three
options.
rectangular prism
VX
triangular prism
cylinder
cone
square pyramid
triangular pyramid
Next
Submit
Mark this and return

Answers

Answer:

Rectangular prism, triangular prism, cylinder

Step-by-step explanation:

has base in the form of rectangle,so when cut perpendicular to base,the base as well as other faces, will be in the shape of Rectangle. Same for the triangular prism and cylinder.

trig with a picture included

Answers

Answer:

51m

Step-by-step explanation:

tan 21 = y/35;    y=13.43

tan 47 = x/35;    x=37.53

13.43+37.53 = 50.97 = 51m

HELP
Find the volume of the sphere in terms of Pi

Answers

Answer:

Hey there!

The volume of a sphere is 4/3pir^3

If d=5, then r=2.5,

Thus, we have 4/3(15.625)pi

20.83pi

The first choice is correct.

Hope this helps :)

Answer: num 1

Step-by-step explanation:

4/3*pi*r^3

4/3*pi*15.625

20.83*pi

hope i halped

can i get brainliest?(im trying to level up)

pls

          -Zylynn

PLEASE ANSWER ASPA Using the distance formula, what is the distance of C (-4, -2) and D (3, 5)?

Answers

Answer:

Approximately 9.90 units.

Step-by-step explanation:

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-4,-2) be x1 and y1, and (3,5) be x2 and y2.

Plug in the numbers:

[tex]d=\sqrt{(3-(-4))^2+(5-(-2))^2}[/tex]

[tex]d=\sqrt{7^2+7^2}[/tex]

[tex]d=\sqrt{2(7)^2}[/tex]

[tex]d=7\sqrt{2}[/tex]

FIND 2 RATIONAL NUMBER and two irrational numbers between 0.15 and 0.16

Answers

Answer:

Rational numbers:

Any terminating decimal is a rational number.

0.151

0.152

Irrational numbers:

Pi is irrational, so when pi is divided by a rational number, the result is irrational.

pi/20.8 = 0.151038108...

pi/20.7 = 0.151767761...

A map has a scale of 1 cm to 3.2 km. The real-life distance between two towns is 64 km. What is the distance between the two towns on the map?

Answers

Answer:

20 cm

Step-by-step explanation:

64/3.2 km = 20cm

Miguel babysits for 3 hours and earn 15 which represents the unit rate?

Answers

Answer:

15

Step-by-step explanation:

Answer:  

Miguel babysits for 3 hours and earns $15. Which represents the unit rate?

Option  D

(D) $5 per hour

Step-by-step explanation:

$5.00 Per Hour Represents unit rate,  15 / 3 = 5

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