ANY JESUS HELPERS PLEASE HELP The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below: Step 1: 2(y + 4) = 4y Step 2: 2y + 6 = 4y Step 3: 2y = 6 Step 4: y = 3 Which of the following explains how to correct Step 2 and shows the correct value of y? The equation should be y + 4 = 4y after division by 2; y = 5 The equation should be y + 4 = 4y after division by 2; y = 2 2 should be distributed as 2y + 8; y = 4 2 should be distributed as 2y + 8; y = 2

Answer:

2nd option

Step-by-step explanation:

plugging the values of x as 0,1,2,3,4,5 will help to find the exact equation

x= 0 , 199

x=1, 199* 1.25 =248.75 (approximately)

x=2, 199* (1.25)^2 = 310.9 (approximately)

x=3, 199* (1.25)^3 = 388.67 (approximately)

x=4, 199* (1.25)^4 = 485.83 (approximately)

x=5, 199* (1.25)^5 = 607.29 (approximately)

Answer:  f(x) ≈ 199(1.25)^x

Step-by-step explanation:

Answer:

Amplitude of 2, midline is y=4

Answer:

y=4.

Step-by-step explanation:

I hope this helps!

Answer:

-7Q + 6 + 5Q = 15 - 7  Answer: q=−1

p+5+p=3(2+p) Answer: p=−1

(A + 4) + 6A = 2 (2 + 3A) Answer: a=0

Step-by-step explanation:

−7q+6+5q=15−7

Step 1: Simplify both sides of the equation.

−7q+6+5q=15−7

−7q+6+5q=15+−7

(−7q+5q)+(6)=(15+−7)(Combine Like Terms)

−2q+6=8

−2q+6=8

Step 2: Subtract 6 from both sides.

−2q+6−6=8−6

−2q=2

Step 3: Divide both sides by -2.

−2q/−2=2/−2

q=−1

p+5+p=3(2+p)

step 1: Simplify both sides of the equation.

p+5+p=3(2+p)

p+5+p=(3)(2)+(3)(p)(Distribute)

p+5+p=6+3p

(p+p)+(5)=3p+6(Combine Like Terms)

2p+5=3p+6

2p+5=3p+6

Step 2: Subtract 3p from both sides.

2p+5−3p=3p+6−3p

−p+5=6

Step 3: Subtract 5 from both sides.

−p+5−5=6−5

−p=1

Step 4: Divide both sides by -1.

−p/−1=1/−1

p=−1

a+4+6a=2(2+3a)

Step 1: Simplify both sides of the equation.

a+4+6a=2(2+3a)

a+4+6a=(2)(2)+(2)(3a)(Distribute)

a+4+6a=4+6a

(a+6a)+(4)=6a+4(Combine Like Terms)

7a+4=6a+4

7a+4=6a+4

Step 2: Subtract 6a from both sides.

7a+4−6a=6a+4−6a

a+4=4

Step 3: Subtract 4 from both sides.

a+4−4=4−4

a=0

Answer:

2^34 = 17179869184

I hope this helps :)

Answer:

The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

Step-by-step explanation:

Let be [tex]d(s) = 0.0056\cdot s^{2} + 0.14\cdot s[/tex], where [tex]d[/tex] is the stopping distance measured in metres and [tex]s[/tex] is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.

The procedure to find the speed related to the given stopping distance is described below:

1) Construct the graph of [tex]d(s)[/tex].

2) Add the function [tex]d = 7\,m[/tex].

3) The point of intersection between both curves contains the speed related to given stopping distance.

In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

Answer:

D

Step-by-step explanation:

Find the x intercepts from the equation and apply them to the graphs. It matches up with D. Your thought is correct

Answer:

[tex]\boxed{\mathrm{D}}[/tex]

Step-by-step explanation:

[tex]y= (x + 1)(x - 1)(x - 4)[/tex]

Let x = 0, find the y-intercept.

[tex]y= (0 + 1)(0 - 1)(0 - 4)[/tex]

[tex]y= ( 1)(- 1)(- 4)[/tex]

[tex]y=4[/tex]

The function crosses the y-axis at 4.

The only graph that shows this is graph D.

Answer:

The answer is 3.

Step-by-step explanation:

This is because f(-3) = -(-3) = 3.

Answer:

Table 4 represents a function.

Step-by-step explanation:

Functions require that each x-value has a unique y-value. In the other tables you see a value repeated in the x column, with a different value in the y column.

Answer:

see file attached

Step-by-step explanation:

Answer:

Step-by-step explanation:

The easiest way to think about increasing area is by taking a square, if you double the dimensions, let's say they were 1 by 1 and then was made into a 2x2 square, you can fit four of the original cube (1x1) into the 2x2. So when the dimensions are doubled the area is quadrupled.

Even easier shortcut:

Take the cube idea, when the dimensions are messed with for anything, (works for volume too) always think of the smaller piece as 1x1 or 1x1x1. Then if the dimensions are double make it 2x2 or 2x2x2. If the dimensions are tripled then do 3x3 or 3x3x3, etc... 1x1=1x1x1, they are both equal to 1. So think of that as the numerator. the 2x2 in this case is equal to 4 so the smaller piece is 1/4 of the bigger one. Shown with volume if you double the dimensions of a cube that was 1x1x1 into 2x2x2. 1x1x1 still equals 1 so that's still the numerator and 2x2x2 is equal to 8 so the 1x1x1 cube is 1/8 of the 2x2x2, in other words you can fit eight 1x1x1 cubes into the 2x2x2 cube.

Hope this helps with area and volume.

Answer:

b is the right option

Step-by-step explanation:

According to the line of best fit, the coin would land heads up about 52.73 times in 100 flips, which we can round to 53.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

We can use linear regression to find the line of best fit for the given data, which will give us a linear equation that models the relationship between the number of coin flips and the number of times the coin lands heads up.

Using a calculator or statistical software, we can find that the line of best fit for the given data is:

y = 0.4975x + 2.9825

where y is the number of times the coin lands heads up, and x is the number of coin flips.

To find how many times the coin would land heads up in 100 flips, we can substitute x = 100 into the equation and solve for y:

y = 0.4975(100) + 2.9825

y = 49.75 + 2.9825

y ≈ 52.73

Therefore,

According to the line of best fit, the coin would land heads up about 52.73 times in 100 flips, which we can round to 53.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ7

Answer:

Step-by-step explanation:

Hello,

let's note a and b the two digits, the number is then a*10+b

and the digits in revers mode give b*10 + a so we can write

   (1) a + b = 5

   (2) 10a+ b - 9 =10b + a

From(1) I get b = 5-a

I replace in (2)

10a + 5 - a - 9 = 10(5-a) + a = 50 - 10a = a = 50 - 9a

9a - 4 = 50 - 9a

18a = 50 + 4 = 54 so

a = 54/18 = 3

and then from (1) b = 5 - 3 = 2

So the number is 32

Answer:

a

Step-by-step explanation:

you have to multply

Answer:

A

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

x − 3y

Let x =3 and y = -2

3 -3(-2)

3 + 6

9

Answer: 115 swords

Step-by-step explanation:

He forged 32 swords from copper, 2*32 from iron and 19 from mythril.  Thus, he forged 32+(32*2)+19, or 32+64+19, or 115 swords.

Hope it helps <3

Answer:

110

Step-by-step explanation:

no need

Hey there!

"8x = 25"

In order for you to solve for "x-value" (or the equation) we have to DIVIDE both of your sides by 8

8x/8 = 25/8

Cancel out: 8x/8 because that gives you the value of 1 and you don't need it at the moment (in that equation that is)

Keep: 25/8 Because it solves for your equation

Your x equals: 25/8 aka 1 1/8 aka 3.125 (you could choose any one of these as your answer because they are all correct)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer: t= v-u/a

Step-by-step explanation: V=u-at

V-u=at

Subtract u from both sides

V-u=at

Divide both sides by a

v-u/a=at/a

v-u/a=t

Answer:

42°

Step-by-step explanation:

→ Since this quadrilateral is a parallelogram, ∠S is equal to ∠R. Let's represent the situation in terms of equations

6x + 6 = 3x + 24

→ Minus 3x from both sides to collect the 'x' terms

3x + 6 = 24

→ Minus 6 from both sides isolate 3x

3x = 18

→ Divide by 3 on both sides isolate x

x = 6

⇒ The value of x is 6, but this isn't the measurement of ∠S, we need to substitute in x = 6 into the expression 6x + 6

6 (6) + 6 ⇔ 36 + 6 = 42°

m<S= 42°

Step-by-step explanation:

6x + 6 = 3x + 24

-6 -6

6x= 3x + 18

-3x -3x

3x = 18

[tex] \frac{3x}{3x} = \frac{18}{3x} [/tex]

x= 6

m<S= 6x + 6

m<S= 6(6) + 6

m<S= 42°

Answer:

(x - y)(x + y)(x - 2y)(x + 2y)

Step-by-step explanation:

Given

[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]

Consider the factors of the coefficient of the [tex]y^{4}[/tex] term (+ 4) which sum to give the coefficient of the x²y² term (+ 5)

The factors are - 1 and - 4 , thus

[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]

= (x² - y²)(x² - 4y²)

Both of these factors are differences of squares which factor in general as

a² - b² = (a - b)(a + b) , so

x² - y² = (x - y)(x + y)

x² - 4y²

= x² - (2y)² = (x - 2y)(x + 2y)

Hence

[tex]x^{4}[/tex] - 5x²y² + 4[tex]y^{4}[/tex]

= (x - y)(x + y)(x - 2y)(x + 2y) ← in factor form

Answer:

For sample size n = 39 ; P(X < 31.6) = 0.9756

For sample size n = 76 ; P(X < 31.6) = 0.9970

Step-by-step explanation:

Given that:

population mean μ = 31

standard deviation σ = 1.9

sample mean  [tex]\overline X[/tex] = 31.6

Sample size n                 Probability

39

76

The probabilities that the sample mean is less than 31.6 for both sample size can be computed as  follows:

For sample size n = 39

[tex]P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})[/tex]

[tex]P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})[/tex]

[tex]P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})[/tex]

[tex]P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{6.245}})[/tex]

[tex]P(X < 31.6) = P(Z< 1.972)[/tex]

From standard normal  tables

P(X < 31.6) = 0.9756

For sample size n = 76

[tex]P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})[/tex]

[tex]P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})[/tex]

[tex]P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})[/tex]

[tex]P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{8.718}})[/tex]

[tex]P(X < 31.6) = P(Z< 2.75)[/tex]

From standard normal  tables

P(X < 31.6) = 0.9970

Louis traveled 7,144 miles

Answer:

area=17.5

Step-by-step explanation:

area=1/2(base*height)

area=1/2(3*7)

are=17.5

Answer:

The LCM of 12 and 10 is 60 so you would need to buy 60 / 12 = 5 packs of eggs and 60 / 10 = 6 packs of muffins.

Answer:

255 pounds.

Step-by-step explanation:

We can set up a proportion.

1 pound / 1.18 euros = x pounds / 300.9 euros

1.18 * x = 1 * 300.9

1.18x = 300.9

x = 255

255 pounds.

Hope this helps!

Answer:

300.90 € = £ 255

Step-by-step explanation:

£ 1 = 1.18 €

So,

1 € = £ 1/1.18

=> 1 € = £ 0.847

Multiplying both sides by 300.90 for getting the exchange rate of 300.90 euros

=> 300.90 € = £ 0.847 * 300.90

=> 300.90 € = £ 255

Answer:

696.6 in³

Step-by-step explanation:

The formula for the volume of a sphere is 4/3πr³

The diameter of 11 in. is given. Therefore, the radius is 5.5 (11/2 = 5.5).

1. Set up the equation

4/3(3.14)(5.5³)

2. Solve

= 696.6 in³

Answer:

[tex]\boxed{Volume = 696.9 \ in.^3}[/tex]

Step-by-step explanation:

Diameter = 11 inches

Radius = 5.5 inches

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 5.5 inches

Volume = [tex]\frac{4}{3} (3.14)(5.5)^3[/tex]

Volume = [tex]\frac{4}{3} (3.14)(166.375)[/tex]

Volume = [tex]\frac{2090.7}{3}[/tex]

Volume = 696.9 in.³

Answer:

Hey there!

First, we want to find the radius of the circle, which equals the length of line segment AC.

Length of line segment AC, which we can find with the distance formula: [tex]\sqrt{25\\[/tex], which is equal to 5.

The equation for a circle, is: [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h, k) is the center of the circle, and r is the radius.

Although I don't know the center of the circle, I can tell you that it is either choice B or D, because the radius, 5, squared, is 25.

Hope this helps :) (And let me know if you edit the question)

Answer:  The equation of the circle is (x+1)²+(y+1)² = 25

Step-by-step explanation:  Use the Pythagorean Theorem to calculate the length of the radius from the coordinates given for the triangle location:  A(-1,-2), B(-1,1) and C(3,1)  The sides of the triangle are AB=3, BC=4, AC=5.

Use the equation for a circle: ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.

As the directions specify, the radius is AC, so it makes sense to use the coordinates of A (-1,-2) as the center.  h is -1, k is -2  The radius 5, squared becomes 25.

Substituting those values, we have (x -[-1])² + (y -[-2])² = 25 .

When substituted for h, the -(-1) becomes +1 and the -(-2) for k becomes +2.

We end up with the equation for the circle as specified:

(x+1)²+(y+1)² = 25

A graph of the circle is attached. I still need to learn how to define line segments; the radius is only the segment of the line between the center (-1,-2) and (1,3)

Answer:

E: all real numbers

Step-by-step explanation:

Step-by-step explanation:

in each equation once substitute the value of x as 0 and again y as zero by this way you will get two values of X and y .

then again find the slope for each equation by the formula

slope= -coefficient of x / coefficient of y

for example,

X+y is greater or equals to 5

or, X+y= 5

or, X=5-y

or, when y is equals to zero

X= 5

and when X is equals to zero

y= 5

then plot the above point in the graph with respect to its slope and the shaded part is the solution

Answer:

Step-by-step explanation:

Given the expression

[tex]40=\frac{90^2}{16} sinxcosx\\\\Cross\ multiplying;\\\\16*40 = 90^2 sinxcosx\\\\640 = 90^2 sinxcosx\\\\\frac{640}{8100} = sinxcosx\\ from\ trig\ identity, sin2x = 2sinxcosx\\sinxcosx = sin2x/2\\[/tex]

[tex]Hence, \ \frac{640}{8100} = \frac{sin2x}{2} \\\\\frac{2*640}{8100} = sin2x\\ \\\frac{1280}{8100}=sin2x\\ \\0.158 = sin2x\\\\2x = sin^{-1} 0.158\\\\2x = 9.09\\x = 9.09/2\\x =4.545[/tex]

Answer:

[tex]\boxed{\sf 27 \ and \ 29}[/tex]

Step-by-step explanation:

Let the first consecutive odd integer be [tex]\sf x[/tex].

Let the second consecutive odd integer be [tex]\sf x+2[/tex].

The sum of the two numbers is 56.

[tex]\sf x+x+2=56[/tex]

[tex]\sf 2x+2=56[/tex]

[tex]\sf 2x=54[/tex]

[tex]\sf x=27[/tex]

Put x as 27 for the second consecutive odd integer.

[tex]\sf 27+2=29[/tex]

The two numbers are 27 and 29.