pls help me. question in picture​

Pls Help Me. Question In Picture

Answers

Answer 1

Answer:

a.) [tex](m+6)(m+10)[/tex]

Step-by-step explanation:

Factor [tex]m^2+16m+60[/tex]

Find what two numbers add up to 16, and equal 60 when multiplied:

[tex]6[/tex] and [tex]10[/tex]

[tex]6+10=16\\6*10=60[/tex]

Factor:

[tex](m+6)(m+10)[/tex]

Finito.

Answer 2

Answer:

(m+6)(m+10).

Step-by-step explanation:

To find this answer, we will need to determine factors of 60 that when added, they are equivalent to 16.

We can begin by listing some factors:

30 and 2

4 and 15

12 and 5

6 and 10

...

Then, we can determine which of these factors can be added together to become 16. From this, we can determine that only factors "6 and 10" become 16 when added together.

When we do this, we can see that only answer 1, (m+6)(m+10), is equivalent to the equation given.


Related Questions

Work out the surface area of this solid prism.

Answers

The surface area of the solid rectangular prism is 408 square meters.

To find the surface area of a solid rectangular prism, you can use the formula:

Surface Area = 2lw + 2lh + 2wh

Where:

l = length

w = width

h = height

In your case, the dimensions of the prism are:

Length (l) = 9 meters

Width (w) = 10 meters

Height (h) = 6 meters

Now, plug these values into the formula:

Surface Area = 2(9m)(10m) + 2(9m)(6m) + 2(10m)(6m)

Surface Area = 180m^2 + 108m^2 + 120m^2

Now, add these areas together:

Surface Area = 180m^2 + 108m^2 + 120m^2 = 408m^2

So, the surface area of the solid rectangular prism is 408 square meters.

for such more question on surface area

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#SPJ3

which type of event is thought to have caused most species on earth to have become extinct?
A) volcanic eruptions
B) human activity
C) air pollution
D) climate change

Answers

Answer:

D because climate change can kill people

Answer:

I agree with lazarbeam profile man

Step-by-step explanation:

reeeeeeeeeeEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

I’m too sure how to do this?

Answers

Answer:

x= -12/5 y+2

y=3/2y+-35/2x=

Step-by-step explanation:

A triangle has a height of 22 and a base of 10. What is the area (in square units)?
options:
a)110
b)55
c)168
d)220

Answers

Answer:

110

Step-by-step explanation:

solve for x.
A. x = √55
B. x = √73
C. x = 4√7
D. x = √130

Answers

Answer:

C. x = 4√7

Step-by-step explanation:

This is a right triangle

The hypotenuse is 3+8  (the radius is 3 and the exterior length is 8)

We can use the Pythagorean theorem

a^2 +b^2 = c^2

3^2 + x^2 = 11^2

9+x^2 = 121

Subtract 9 from each side

9-9 + x^2 = 121-9

x^2 = 112

Take the square root of each side

sqrt(x^2) = sqrt(112)

x = sqrt(16*7)

x = 4 sqrt(7)

Gwen has a £5 note and a £2 coin. A litre of cola costs £1.25. Gwen buys as many litre bottles of cola as she can. How much money will she have left over?

Answers

Final answer:

Gwen can buy 5 bottles of cola with her £7 and will have £0.75 left over.

Explanation:

Gwen has in total £7 (£5 note + £2 coin). A litre of cola costs £1.25. To find out how many bottles of cola Gwen can buy, we need to divide the total amount Gwen has by the cost of one bottle of cola.

Divide the total amount of money (£7) by the cost of one litre of cola (£1.25).£7 ÷ £1.25 = 5.6. Gwen can buy 5 bottles because she cannot buy a fraction of a bottle.Multiply the number of bottles she can buy (5) by the cost per bottle (£1.25) to find out the total cost. 5 × £1.25 = £6.25.Subtract the total cost of the cola (£6.25) from the total amount of money Gwen has (£7). £7 - £6.25 = £0.75.


Therefore, Gwen will have £0.75 left over after buying as many bottles of cola as she can.

Antonio was visiting three cities that lie on a coordinate grid at A(4, 5), B(-1, 3) and C(-3, -4). If he visited the cities and ended up where he started, how many miles did he travel?

Answers

Answer:

24.065 miles

Step-by-step explanation:

Antonio visited three cities on the coordinate grid at A(4, 5), B(-1, 3) and C(-3, -4), he visited the cities and ended up where he started. That means he moved from point A to B to C and back to A.

The distance (d) between two points (x₁, y₁) and (x₂, y₂) can be given as:

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

Therefore distance between AB = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(-1-4)^2+(3-5)^2}=\sqrt{25+4}=5.385[/tex]

distance between BC = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(-3-(-1))^2+(-4-3)^2}=\sqrt{4+49}=7.28[/tex]

distance between CA = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(4-(-3))^2+(5-(-4))^2}=\sqrt{49+81}=11.4[/tex]

The total distance = AB + BC + AC = 5.385 + 7.28 + 11.4 = 24.065 miles

The center of a circle is located at (3, -4). The radius of the circle is 6.

What is the equation of the circle in general form?

x2 + y2 + 6x − 8y − 11 = 0
x2 + y2 − 6x + 8y − 11 = 0
x2 + y2 + 6x − 8y + 19 = 0

Answers

Answer:

B

Step-by-step explanation:

The equation of a circle in standard form is [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h, k) is the center and r is the radius. The general form is simply the expanded form of the standard. Let's first write the standard form.

Here, the center is (3, -4) and the radius is r = 6, so:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](x-3)^2+(y+4)^2=6^2[/tex]

Now expand:

x² - 6x + 9 + y² + 8y + 16 = 36

x² + y² - 6x + 8y - 11 = 0

The answer is B.

Answer:

x² + y² - 6x + 8y - 11 = 0

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

(x - 3)² + (y + 4)² = 6²

x² - 6x + 9 + y² + 8y + 16 = 36

x² + y² - 6x + 8y - 11 = 0

if y varies directly as x and y = 34 when x = 8, determine an equation to represent this relation.

Answers

Answer:

y = 4.25x

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 34 when x = 8, thus

34 = 8k ( divide both sides by 8 )

k = [tex]\frac{34}{8}[/tex] = 4.25

y = 4.25x ← equation of variation

Find (2x^2 + 2) + (x^2-4) – (3x^2 + 1)​

Answers

Step-by-step explanation:

hope this is right I got this answer on one my fav website tiger

Answer:

[tex] - 3[/tex]

Step-by-step explanation:

[tex]2 {x}^{2} + 2 + ( {x}^{2} - 4) - (3 {x}^{2} + 1) \\ 2 {x}^{2} + 2 + {x}^{2} - 4 - 3 {x}^{2} - 1 \\ 2 {x}^{2} + {x}^{2} - 3 {x}^{2} + 2 - 4 - 1 \\ = - 3[/tex]

please help its math

Answers

Let the length of the radius = r feet.

Diameter = 2r = 2 x 6.8 = 13.6 feet

Circumference = 2[tex]\pi[/tex]r = 2 x 3.14 x 6.8 = 42.704 feet = approx. 42.7 feet

The diameter is 13.60 feet.

The circumstance is approximately 42.70 feet.

Look at the attached picture

Hope it will help you

Para iniciar un negocio, una pareja pide $5.500.000 para comprar equipo y suministros. Si el préstamo tiene una tasa de 14% de interés. ¿Cuánto deben pagar al final de un período de 90 días?

Answers

Answer:

They will have to pay $5,692,500 in 90 days.

Deben pagar $5,692,500 pagar al final de un período de 90 días.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time, in years..

After t years, the total amount of money is:

[tex]T = E + P[/tex].

In this question:

[tex]P = 5500000, I = 0.14[/tex]

3 months is 3/12 = 1/4 = 0.25 of an year. So [tex]t = 0.25[/tex]

Then the interest accrued is:

[tex]E = P*I*t = 5500000*0.14*0.25 = 192500[/tex]

What they will have to pay:

[tex]T = 192500 + 5500000 = 5692500[/tex]

They will have to pay $5,692,500 in 90 days.

Deben pagar $5,692,500 pagar al final de un período de 90 días.

can u round this number?
2.29885057471

Answers

Answer:

no

Step-by-step explanation:

you can round it to 2.3 but depending on what place you are asked to round to it is still just 2

no you cannot. since the digits after the decimal keep going, it would be hard to decipher what the last number would be. it would most likely be rounded to 2.3

find the surface area of the square pyramid if the slant height is 13mm and the base length is 11mm

a) 264mm squared
b) 286mm squared
c) 335.5mm squared
d) 407mm squared

Answers

Final answer:

To find the surface area of a square pyramid, you need to calculate the lateral area and the area of the base. The lateral area can be found using the formula (1/2) × perimeter of the base × slant height. The base area is equal to the side length squared. To find the total surface area, you add the lateral area and the base area.

Explanation:Surface Area of Square Pyramid

To find the surface area of a square pyramid, we need to calculate the lateral area and the area of the base.

Lateral Area

The lateral area of a square pyramid can be found using the formula:

Lateral Area = (1/2) × perimeter of the base × slant height

In this case, the slant height is given as 13mm and the base length is given as 11mm, so we have:

Lateral Area = (1/2) × 4 × 11mm × 13mm = 286mm2

Base Area

The base of the square pyramid is a square with side length 11mm. Therefore, the area of the base is:

Base Area = side length × side length = 11mm × 11mm = 121mm2

Total Surface Area

To find the total surface area, we add the lateral area and the base area:

Total Surface Area = Lateral Area + Base Area = 286mm2 + 121mm2 = 407mm2

Therefore, the surface area of the square pyramid is 407mm2.

what is first even number that is a multiple of 5 and 7?

Answers

Answer:

I think its 35

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

The least common factor of 5 and 7 is 35. We multiply it by two because it is not even.

Sample response: Start by calculating the volume of the original prism. The area of the base, B, is 4(6) = 24 m2. Multiply that by the height to get the volume: 24(10) = 240 m3. Now, if you double all of the dimensions, you would have a rectangular prism with a base that is 8 m by 12 m and a height of 20 m. The area of the base, B, is 8(12) = 96 m2. Multiply that by the height to get the volume: 96(20) = 1,920 m3. To compare, look at the ratio of the original prism to the new prism: 96/1,920 = 1/8. The volume increases by 8 times the original volume.

Check all that you included in your response.
Find the original volume. The area of the base, B, is 4(6) = 24 m2. Multiply that by the height to get the volume: 24(10) = 240 m3.
If you double all of the dimensions, you would have a rectangular prism with a base that is 8 m by 12 m and a height of 20 m.
Find the new volume. The area of the base, B, is 8(12) = 96 m2. Multiply that by the height to get the volume: 96(20) = 1,920 m3.
The volume increases by 8 times the original volume.

Answers

Answer:

Step-by-step explanation:

Find the volume. *
30 ft
.
24 ft
Volume =

Answers

Volume = 3.14 x 24^2 x 30 = 54259.2

Which of the following equations matches the graph above?

A.

y=2x-1

B.

y=2/5x-1

C.

y=2/5x+1

D.

y=5x-1

Answers

it will be A. y=2x-1

hope this helps

2. If one angle of a parallelogram is 70°, find
the degrees in the remaining 3 angles.

Answers

Answer:

The remaining three angles would be 70°, 110°, and 110°.

Step-by-step explanation:

A parallelogram has a measurement of 360° with two pairs of congruent opposite angles/sides.

Write −0.258 as a fraction in simplest form

Answers

Answer:

57/200

Step-by-step explanation:

285/1000 The fraction is not reduced to lowest terms. We can reduce this fraction to lowest

terms by dividing both the numerator and denominator by 5.

Why divide by 5? 5 is the Greatest Common Divisor (GCD)

or Greatest Common Factor (GCF) of the numbers 285 and 1000.

So, this fraction reduced to lowest terms is

57/200

So your final answer is: 0.285 can be written as the fraction 57/200

−0.258 written as a fraction in its simplest form is [tex]-\frac{129}{500}[/tex]

To write a given decimal as a fraction in its simplest form,

We will first express the decimal as a fraction and then reduce it to its lowest form.

The given decimal is −0.258

−0.258 written in fraction is [tex]-\frac{258}{1000}[/tex]

Now, we will reduce [tex]-\frac{258}{1000}[/tex] to its lowest form

First, we will divide both the numerator and denominator by 2 (Since 2 is a common factor)

We get

[tex]-\frac{258}{1000} = -\frac{258 \div 2}{1000 \div 2} = -\frac{129}{500}[/tex]

Since the fraction cannot be reduced further, then −0.258 as a fraction in its simplest form is [tex]-\frac{129}{500}[/tex]

Hence, −0.258 written as a fraction in its simplest form is [tex]-\frac{129}{500}[/tex]

Learn more here: https://brainly.com/question/24861087

What is the answer for 4t≤13

Answers

Step-by-step explanation:

4t < 13

t < 13/4

I think this should be the answer

Answer: T<13/4

Step-by-step explanation: See below

Y varies inversely with x, when y is 48 when x is 1/3 .which equation represents this situation?

a) Y=16/x
b) Y=16x
c) Y=144x
d) Y= 144/x

Answers

Answer:

A

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex]

To find k use the condition y = 48 when x = [tex]\frac{1}{3}[/tex], thus

k = yx = 48 × [tex]\frac{1}{3}[/tex] = 16

y = [tex]\frac{16}{x}[/tex] ← equation of variation

Simplifty (x - 4)(x +8)

Answers

Answer: x² + 4x - 32

Step-by-step explanation: So to multiply these two binomials together, let's use the F.O.I.L. method.

Remember, F.O.I.L. stands for First, Outter, Inner, Last.

This is because we start with the product of the first terms which is x², then we add the product of the outer terms which is 8x, then we add the middle terms which is -4x, and then we add the product of the last terms which is -32.

So we have x² + 8x + -4x + -32.

Combining the like terms 8x + -4x, our final answer is x² + 4x - 32.

In a race in which eleven automobiles are entered and there are no ties, in how many ways can the first three finishers come in?

Answers

Answer:

990 ways

Step-by-step explanation:

The total number of automobiles we have is 11.

Now, what this means is that for the first position , we shall be selecting 1 out of 11 automobiles, this can be done in 11 ways( 11C1 = 11!/(11-1)!1! = 11!/10!1! = 11 ways)

For the second position, since we have the first position already, the number of ways we can select the second position is selecting 1 out of available 10 and that can be done in 10 ways(10C1 ways = 10!9!1! = 10 ways)

For the third position, we have 9 automobiles and we want to select 1, this can be done in 9 ways(9C1 ways = 9!/8!1! = 9 ways)

Thus, the total number of ways the first three finishers come in = 11 * 10 * 9 = 990 ways

What is bigger 0.2 or 0.125

Answers

Answer:

0.2 is bigger than 0.125.

The answer is 0.2

Have a great day!

Sam cleaned of his house in 50 minutes. How many hours will it take him to clean his entire house?

Answers

Answer:

20min

Step-by-step explanation:

They cleaned how much of the house in 50 minutes? If you tell me this, I can give you an answer.

A circle with area \blue{9\pi}9πstart color #6495ed, 9, pi, end color #6495ed has a sector with a central angle of \purple{60^\circ}60 ∘ start color #9d38bd, 60, degrees, end color #9d38bd. What is the area of the sector?

Answers

Answer:

The area of the sector is 3pi/2

Step-by-step explanation:

A sector is that part of a circle bounded by 2 radii and an arc

The circle has an area of 9 pi with a central angle of 60 degrees.

Now the area of the sector is pretty much straight forward to calculate. Since it is a circle, the total angle we have is 360.

Now the sector subtends an angle of 60 degrees at the centre. What this means is that the sector is exactly 1/6 of the circle. meaning that cutting the circle into 6 slices will give the sector.

Thus, the area of the sector is one-sixth the area of the circle.

The area of the sector is thus 1/6 * 9pi = 9pi/6 = 3pi/2 or 3/2 pi

alice is playing checkers against a computer and has won 8 games out of the 12 she’s played so far

Answers

I do not know what kind of answer you may want but here is a few you might be asking for

(1).   Every 12 games Alice wins 8 games and looses 4. ( 8/12 )

(2). Alice wins 2/3 games against a computer. ( 8/12 )

(3). Alice wins 66% of games she plays against a computer.

There you go.

Alice's win ratio for playing checkers against a computer is 8 wins out of 12 games, which simplifies to 2/3.

Alice has played 12 checker games against a computer and has won 8 of them. To understand her win ratio, we simply divide the number of games won by the total number of games played. This gives us a ratio or fraction of 8/12, which can also be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4, resulting in 2/3. Therefore, Alice has a winning ratio of 2 wins for every 3 games played. Understanding win ratios is an essential part of probability and statistics, a key area within mathematics dealing with the analysis of numerical data.

steps to solve -3x-2=13

Answers

Answer:

X=-5

Step-by-step explanation:

1.) Add 2 to 13, then you have -3x=15

2.) Divide 15 by -3 to get the solution. x=-5

Find the missing side. Round to the nearest tenth.

A) 25.7
B) 15.5
C) 12.6
D) 31.8

Answers

Answer:

i think 40

Step-by-step explanation:

Answer:

C. 12.6

Step-by-step explanation:

That is the answer when correctly put into a calculator.

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