If 2 times the sum of two consecutive even numbers is greater than 94, what is the smallest possible value of the larger number?

The correct answer is option B which is (-4-√11) and (-4+√11).

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The inequality is given as x² + 8x + 5 < 0 for we will draw a graph of the inequality and find the range of x which ranges from ( -7.31,- 0.68) So these points in the options will be equal to (-4-√11) and (-4+√11).

(-4 - √11)  = -4 -3.31 =-7.31

(-4 + √11) = -4 +3.31 = -0.68

Therefore the correct answer is option B which is (-4-√11) and (-4+√11).

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Answer:

15

Step-by-step explanation:

Answer: 6.71

Step-by-step explanation:

[tex]AB=\sqrt{(-1-5)^{2}+(6-3)^{2}} \approx \boxed{6.71}[/tex]

Answer:

0.69 or 69% :)

Step-by-step explanation:

Prime numbers: 2, 3, 5

Now lets add :)

29 + 26 + 14

29 + 40

69

Now we add all numbers together and divide by our first number 69 :)

12 + 29 + 26 + 9 + 14 + 10

41 + 26 + 9 + 14 + 10

67 + 9 + 14 + 10

76 + 14 + 10

90 + 10

100

69/100 = 0.69 = 69% :D

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15

5x-2y=9......(1)

6x+ky=4......(2)

slope of eqn i= -5/-2

=5/2

slope of eqn ii = -6/k

since the line are perpendicular

5/2 * -6/k = -1

-30= -2k

k=15

Answer:

3rd option

Step-by-step explanation:

the average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ 1, 4 ] , then

f(b) = f(4) = 3³ + 2 = 27 + 2 = 29

f(a) = f(1) = [tex]3^{0}[/tex] + 2 = 1 + 2 = 3 , then

average rate of change = [tex]\frac{29-3}{4-1}[/tex] = [tex]\frac{26}{3}[/tex]

Answer:

%50 1÷2

if there is missing information. if there is 10 total marbels 5 would be red, 5would be blue.

Step-by-step explanation:

The collection of well defined object is called set

The graph is increasing for x > -5

Answer:

182

Step-by-step explanation:

Sum = a(r^n -1) ÷ r - 1

1(-3^6 - 1) ÷ -3 -1

= 182

r = t2 ÷ t1 * since they stated that it is geometric

Answer: [tex]\frac{7\sqrt{2}}{2}[/tex]

Step-by-step explanation:

[tex]\sin 45^{\circ}=\frac{7}{y}\\\\\frac{1}{\sqrt{2}}=\frac{7}{y}\\\\y=\frac{7}{\sqrt{2}}=\boxed{\frac{7\sqrt{2}}{2}}[/tex]

Answer:

x-int=(2,0)

y-int=(0,4)

Step-by-step explanation:

Answer:

36.7075 Hz is the answer

Step-by-step explanation:

When folding up the box, x will be the height

(30-2x) will be the length

(25-2x) will be the width so

[tex]v(x) = x(30 - 2x)(25 - 2x)[/tex]

b. First, we can't have negative length or zero length so x must be Positve.

Set the other binomial equal to 0.

[tex]30 - 2x > 0[/tex]

[tex] - 2x > - 30[/tex]

[tex]x < 15[/tex]

[tex]25 - 2x > 0[/tex]

[tex] - 2x > - 25[/tex]

[tex]x < 12.5[/tex]

So our domain is

(0,12.5), meaning our value of x must be greater than 0 and less than 12.5

Answer: x = 44

Step-by-step explanation:

The exterior angles of a polygon add to 360 degrees so:

Answer: - 60

Step-by-step explanation:

[tex]\frac{(-4)^3 - (-4)}{4(4)^-4/4} \\\\= -60[/tex]

Answer:

A. [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

To find f(-2) in f(x)=5*3^x, plug in -2 into all the x values.

f(-2)=5*3^-2, you can use calculator to calculate 3^-2 which equals 0.1, forever 1's.

f(-2)=5*0.1=0.5  Forever 5's.

f(-2)=0.5 or [tex]\frac{5}{9}[/tex]

Hope this helps!

If not, I am sorry.

Answer: 9 cm

Step-by-step explanation:

The formula for the perimeter of a rectangle is [tex]2l+2w=P[/tex]

Where

l is the length

w is the width

and P is the perimeter (34)

Because the length is 1 cm longer than the width instead of representing the length is l we can use w+1

Sub in the known values and solve

Step 1: Simplify both sides of the equation with the Distributive Property

[tex]2(w+1)+2w=34\\(2)(w)+(2)(1)+2w=34\\2w+2+2w=34\\(2w+2w)+(2)=34\\4w+2=34\\[/tex]

Step 2: Subtract 2 from both sides.

[tex]4w+2-2=34-2\\4w=32[/tex]

Step 3: Divide both sides by 4.

[tex]\frac{4w}{4}=\frac{32}{4} \\w=8[/tex]

Step 4: Add 1 to w to find the length of the longer side

[tex]w+1\\8+1\\9[/tex]

The statement C is true about the proportional relationship that is modeled by Peter’s equation. Peter walks at a rate of 13/4 miles per hour.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The complete question is

"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?

A: Peter walks a rate of 4/13 miles per hour.

B: Peter walks at a  rate of 4 miles per hour.

C: Peter walks at a rate of 13/4 miles per hour.

D: Peter walks at a rate of 13 miles per hour."

Given equation;

Y=13/4x

Where,

y represents the number of miles

x is the time period

The equation shows Peter walks at a rate of 13/4 miles per hour.

Hence statement C is true about the proportional relationship that is modeled by Peter’s equation.

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The 40-year-old should have $76800 in capital. The 35-year-old should be saving $$10,320 for retirement.

The capital that a 40 year old has to have with an income of 32000 is

capital income at age 40 * income

= 2.4 * 32000

Capital = $76800

b. At 35 the savings income has to be

percentage of savings income * income

= 12% * $86000

= $10,320

c. There is no specified value for education earnings.

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Answer: y= -1 and x=-8

x+8y=-16

x=-8y-16

so x-3y=-5

-8-16-3y=-5

-11y-16=-5

-11y=-5+16

-11y=11

y=-1

x-3y=-5

x+3=-5

x=-8

The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.

Total distance if Pete walks from A to B to C:

= 15 + 25 = 40 yards

As we know in the triangle the sum of the two sides is greater than the third side.

25 + 15 > AC

The direct distance from A to C is more than 10(25-15) yards.

The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.

Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

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Answer:

40 yards, 10 yards, and 30 yards.

Was correct for me on edge 2023

Answer:

[tex]\frac{x}{12}[/tex] (x/12)

Step-by-step explanation:

if 12 pieces combine to make x, [we know they are identical], each piece must be 1/12 of x [1/12·x = x/12]

(think of it like this: "x" length must be divided amongst 12 pieces, so, we divide x/ 12)

Answer:

Timber=x/12

Step-by-step explanation:

12 pieces long is x, if the length of each one is same, so the length of each one is x/12.

Answer:

1/5 divided by 4 equals to 0.05

Answer:

Step-by-step explanation:

Additive inverse:

-3=3

14=-14

-28=28

-1/5=1/5

Multiplicative Inverse:

2/3=3/2

6/18=18/6

5=1/5

11=1/11

Answer:

inverse of -3 is +3

inverse of 14 is -14

inverse of -28 is 28

inverse of -1/5 is 1/5

inverse of 2/3 is 3/2

inverse of 6/18 is 18/6

inverse of 5 is 1/5

inverse of 11 is 1/11

Step-by-step explanation:

Because inverse mean switch it. or opposite of digit

if plus digit then negative digit .

Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

The steps to copy a line segment are given below:

1. Let's start with a line segment AB that we have to copy.

2. Now mark a point C. Below or above AB, which will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so that the compass width is equal to the length of AB.

5. Without changing the compass width, now place the compass tip on point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

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Answer:

Eight thousand eighty five, 8000 + 80 + 5

Explanation:
Five ones, thirty-eight tens, twenty-seven hundreds, and five thousands equal to:

5 + 380 + 2700 + 5000

This is 8085 when added or eight thousand eighty-five in word form. This is also 8000 + 80 + 5 in expanded form.

Answer:

Step-by-step explanation:

I'm assuming you meant "David at 78% of his chocolate bar" which means he at 78/100 of his chocolate bar. So if Jane ate more she could've eaten n/100 of her chocolate bar where [tex]78 < n \leq 100[/tex]. Greater than 78 since David at 78/100 and less than or equal to 100 since 100/100 means Jane at the entire thing at 101/100 wouldn't make any sense.

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[tex]a=2+3+10[/tex]

[tex]a = 15 [/tex]

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