The sum of four consecutive integers is 386. What is the fourth integer?

A hyperbola is simply an open curve that has two branches.

The disconnected parts of the graph of the hyperbola are the branches.

See attachment for an illustration of an hyperbola.

From the graph, we have the following highlights.

The opposite sides (and disconnected parts) are the branch of the hyperbola

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Answer:

B) Factor out 2x

Step-by-step explanation:

Final answer:

The most efficient first step in factoring the trinomial 2x³ - 18x² + 40x is to factor out the greatest common factor, which is 2x. Therefore, the correct option is B.

Explanation:

The most efficient first step in factoring the trinomial 2x³ - 18x² + 40x is to factor out the greatest common factor that appears in each term of the trinomial. Looking at the coefficients and the variable parts, we can see that each term is divisible by 2x. Therefore, the correct answer is B) Factor out 2x. This is the most efficient first step because it simplifies the trinomial into a binomial multiplied by the common factor, making the remaining factoring process easier.

Answer:

He buys 8 desks and 6 chairs can i have branliest

Step-by-step explanation:

Set up a system of equations

desks = y chairs = x

x+y=14

125x + 515y = 4870

Eliminate,

-125x -125y = -1750

125x + 515 y = 4870

390 y = 3120

y = 8

substitute in 8

x + 8 = 14

x = 6

Answer:

Step-by-step explanation:

Let number of chairs be x and number of desks be y

Total number of chairs and desks = 14

x + y = 14   --------------(i)

Total cost  = $ 4870

125x + 515y = 4870 ------------(ii)

Multiply equation (i) by (-125).

(i)*(-125)          -125x - 125y = -1750

(ii)                    125x +515y = 4870    {Now add}

                                  390y = 3120

y = 3120/390

y = 8

Plug in value of y in equation 1

x + 8 = 14

x = 14 - 8

x = 6

Number of chairs = 6

Number  of desks  = 8

Answer: C, 120°

Step-by-step explanation:

If MATH is an isosceles Trapezoid, and the measurement of Angle A is 60°, then the Measurement of Angle M would be equivalent to the Measurement of Angle A. Then, using the Same Side Interior Theorem, the Measurement of Angle H would be equal to 180°- 60° (The Measurement of Angle M), which is equal to 120°, C.

Answer:

C 120°

Step-by-step explanation:

In an isosceles trapezoid, base angles are congruent.

[tex]\therefore m \angle A = m\angle M= 60°..(1)\\

\&\: m \angle T = m\angle H..(2)\\

m\angle M +m\angle A + m\angle T +m\angle H= 360°\\

\therefore 60° + 60° +m\angle H +m\angle H= 360°\\

[From\: equations\: (1)\: \& \:(2)] \\

\therefore 120° +2m \angle H = 360°\\

\therefore 2m \angle H = 360°-120°\\

\therefore 2m \angle H = 240°\\

\therefore m \angle H = \frac{240°} {2} \\

\huge\purple {\boxed {\therefore m \angle H = 120°}} [/tex]

Answer:

The answer is D

Step-by-step explanation:

Hope this helps

Answer:

The answer is D.

Step-by-step explanation:

I took the test.

Answer: i believe they are compared to knights

Answer:

x=1, y=-1

Step-by-step explanation:

Given the equation: [tex]2^{x}X2^{y}=2^0[/tex]

where x and y are the blank boxes.

We want to find

That makes the equation true.

If x=1, y=-1

[tex]2^{1}X2^{-1}=2^0[/tex]

This can be confirmed using addition law of indices([tex]a^x+a^y=a^{x+y}[/tex])

[tex]2^{1}X2^{-1}=2^{1+(-1)}=2^{1-1}=2^0[/tex]

a. -5

b.  -2

c. -3

Let's fill in the blanks for each equation:

a.[tex]\( 2^5 \times 2^{(-5)} = 2^0 \)[/tex]

b. [tex]\( 2^3 / 2^5 = 2^{(-2)} \)[/tex]

c. [tex]\( 2^{(-3)} \times 5^{(-3)} = 10^{(-3)} \)[/tex]

For each equation:

- In (a), [tex]\( 2^{(-5)} = \frac{1}{32} \)[/tex], which is a negative exponent.

- In (b),[tex]\( 2^{(-2)} = \frac{1}{4} \)[/tex], another negative exponent.

- In (c), [tex]\( 10^{(-3)} = \frac{1}{1000} \)[/tex], a negative exponent.

So, the numbers to fill in the blanks are:

a. -5

b. -2

c. -3

Complete question

Place a number in each box so that each equation is true and each equation has at least one negative number.

a. 2^5* 2^(□)=2^0

b. 2^3/2^5 =2^(□)

C. 2^(-3)* 5^(-3)=10^(□)

Answer:

Simplify

Please mark my answer as brainliest so that I can level up!!!!

Step-by-step explanation:

(n-2)2=249

n-2=124.5

n=126.5

Answer: A Brandon’s sound intensity is 1/4 the level of ahmads mower

Step-by-step explanation:

Brandon's audible sound level is 60 decibels less than the sound intensity level of Ahmad's mower. This is because the sound intensity from the mower is one million times (or 10^6 times) greater than the sound intensity level that Brandon can hear.

The sound intensity, I, is given in terms of decibels, Db, as defined in the formula L = 10 log (I/I0). Here, I0 = 10-12 watts per square meter is the least intense sound a human ear can hear. Now, to compare the sound intensity levels for Brandon and Ahmad's mower, we need to look at their respective sound intensities.

Brandon hears a sound level of 10-10 watts per square meter, and Ahmad's mower generates a sound intensity of 10-4 watts per square meter.

The logarithmic scale used in calculating decibels means that for every increase in 10 times the sound intensity, the loudness increases by 10 decibels.

So, since Ahmad's mower generates a sound that is 106 (=10-4/10-10) times more intense than Brandon's audible level, it means that the mower is 60 decibels louder (since 10*6 = 60) than the sound Brandon can hear.

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Answer:

I believe A. is 82.352941176471%

Step-by-step explanation:

Out of 58 cities, 26 have either a lake or a river, which simplifies to a fraction of 13/29 of the cities having one of these features.

To find the fraction of 58 cities that have either a lake or a river running through them, we need to determine how many cities have at least one of these features. It is important to check if any city has both a lake and a river, but since the question does not provide this information, we will assume that there are no cities that have both. The question tells us that 3 cities have a lake and 23 have a river. We simply add these counts together to find the total number of cities with at least one water feature.

The calculation would be:

3 (cities with a lake) + 23 (cities with a river) = 26 (cities with a lake or a river)

To find the fraction of the 58 cities that have a lake or a river, we divide the number of cities with a water feature by the total number of cities:

26 (cities with a lake or a river) / 58 (total cities) = 13/29 (simplified fraction).

Final answer:

Of the 58 cities, 26 have either a lake or a river, which means the fraction of cities with a lake or a river is 26/58.

Explanation:

To determine what fraction of the 58 cities have a lake or a river running through them, we must consider that the question does not specify whether some cities might have both a lake and a river. Assuming that the cities with lakes and the cities with rivers do not overlap, we simply add the number of cities with each feature.

There are 3 cities with a lake and 23 with a river. To find the total number of cities with either a lake or a river, we add these two numbers together:

3 (cities with a lake) + 23 (cities with a river) = 26 (cities with a lake or a river).

Now, to find the fraction of the 58 cities that have a lake or a river, we divide the number of cities with water features by the total number of cities:

26 / 58 = fraction of cities with a lake or a river running through them.

Answer:   0.159

other answer is wrong i did the quiz

Find the area of the triangle side, then multiply by the length of the prism.

Area of triangle = 1/2 x height x base

Area  = 1/2 x 2 x 3 = 3 square cm

Volume = 3 x 4 = 12 cubic cm.

Answer is A) 12 cm^3

Answer:

12

Step-by-step explanation:

If you flip the polygon on the right so it looks like the polygon on the left, the scale factor for the small polygon to the big polygon is 32/40 or 4/5.

Now use that scale factor, 4/5, to find the missing length

4/5 = ?/15

5*3 = 15 so 4*3 = ?

? = 12

The missing side of the given polygon is 12 units.

In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).

If you flip the polygon on the right so it looks like the polygon on the left, the scale factor for the small polygon to the big polygon is 32/40 or 4/5.

Let x be the missing side of the polygon.

Now use that scale factor, 4/5, to find the missing length.

4/5 = x/15

5*3 = 15 so 4*3 = x

x = 12

therefore, 12 is the missing side of the given polygon.

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Answer:

8,55

Step-by-step explanation:

use trigonometric functions

Know that quadrilaterals’ with 4 sides the degrees should all add up to 360

a. 110

(110+62+78= 250

360 - 250 = 110)

b. 66

(84+78+2b+b = 360

162+3b = 360

3b = 198

b = 66)

c. 83

For 5 sides the degrees should add up to 540)

(101+152+38+2c+c = 540

291+3c=540

3c = 249

c = 83)

d. 30

For 6 sides the degrees should add up to 720

(108+102+4d+4d+4d+5d = 720

210+17d= 720

17d = 510

d = 30)

As for the others I’ll label them 1, 2, and 3...

1. 60

(105+75+2b+b = 360

180+3b= 360

3b = 180

b = 60)

2. 78

(125+65+92+a = 360

282+a = 360

a = 78)

3. 80

(130+65+120+[2c-15]+c = 540

315+[2c-15]+c = 540

3c-15 = 225

3c = 240

c = 80

Answer:

3.33 ounces in each bowl

Step-by-step explanation:

7.49 + 6.26 = 13.75

subtract 0.43 and that equals 13.32

13.32 ÷ 4 = 3.33

I hope this helped :/

Tara has 3.33 ounces of fruit in each bowl. This is obtained by first adding and then subtracting the weight of strawberries, blueberries, and leftover fruit, followed by dividing by the number of bowls.

We first add the weight of the strawberries and blueberries together to get the total fruit weight:

7.49 ounces (strawberries) + 6.26 ounces (blueberries) = 13.75 ounces (total fruit)

We then subtract the leftover fruit from the total:

13.75 ounces (total fruit) - 0.43 ounces (leftover fruit) = 13.32 ounces (fruit used in bowls)

Finally, we divide the total weight of the fruit used in the bowls by the number of bowls to find out how much fruit is in each bowl:

13.32 ounces / 4 bowls = 3.33 ounces per bowl

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Answer:

34-m

Step-by-step explanation:

BRAINLIEST PLZ, ITS RIGHT IM AN EXPERT

To find a fourth vector v₄ that is orthonormal with vectors v₁, v₂, and v₃, you must find the values of v₄ such that the dot product of v₄ and each other vector is zero and v₄'s magnitude is one. This results in a system of linear equations. Solving this system will give you the components of vector v₄.

Given that the vectors v₁=[0.50.50.50.5], v₂=[0.50.5−0.5−0.5], and v₃=[0.5−0.5−0.50.5] are orthonormal, we need to find a fourth vector v₄ in R⁴ such that the set of these four vectors are also orthonormal. In an orthonormal set of vectors, each vector has a length (or magnitude) of one, and the dot product of each pair of different vectors is zero, indicating they are orthogonal or perpendicular to each other.

By inspection, we can see that the given vectors v₁, v₂, and v₃ already satisfy these conditions. So, the challenge is to find v₄ such that its dot product with each of the other three vectors is zero and its magnitude is one. Let's denote v₄ as [a, b, c, d].

Setting the dot product of v₄ and the other three vectors to zero gives the set of equations: 0.5a + 0.5b + 0.5c + 0.5d = 0, 0.5a + 0.5b - 0.5c - 0.5d = 0, and 0.5a - 0.5b - 0.5c + 0.5d = 0. Furthermore, to satisfy the condition that the magnitude of v₄ is one, we have the equation a² + b² + c² + d² = 1.

Solving these simultaneous equations will give the components of the vector v₄ that is orthogonal to v₁, v₂, and v₃ and has a magnitude of one, thus completing the orthonormal set.

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Answer:

The answer is 13

Step-by-step explanation:

To find this we have find greatest common factor of 26 and 65 which turns out to be 13

To prove this answer we divide the number of scones to 13

26/13=2 scones of strawberry in each bag

65/13=5 scones of blackberry in each bag

2 and 5 will be found in each of the 13 bags.

Hope it helped.

The required greatest number of bags Jason can​ fill is 13.

Given as Jason has 26 strawberry scones and 65 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of strawberry scones and an equal number of blackberry scones.

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.

Here,
strawberry scones = 26
blackberry scones = 65
Taking the greatest common factor for the number of bags that can be filled with scones,
HCF [26, 65] = 13

Thus, the required the greatest number of bags Jason can​ fill is 13.

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The percent of apple juice in the recipe is D.7/4=100/x

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that Ratio of apple juice to water is 4 : 3 = Y i.e 4+ 3 = 7

To find the exact percent of apple juice used in the recipe, we will use the ratio of juice to water provided, given Y as any amount of apple cider.

The equation  4/7 × Y = amount of apple juice.

for percentage, 4/7 × Y × 100 = amount of apple juice.

In 200ml apple cider, the amount of apple juice presented as;

= 4/7 × 200 = 114.2ml of juice

To make up to 00ml cider, add (200-114.2) ml of water.

Hence, the percent of apple juice in the recipe is D.7/4=100/x

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Subtracting a negative is the same as adding its positive counterpart. Therefore, (5 - (-7)) can be written as (5 + 7), resulting in the answer of 12. So, 5 - (-7) = 5 + 7.

To write the subtraction problem (5 - (-7)) as an addition problem, we can use the rule that subtracting a negative is equivalent to adding its positive counterpart. Therefore: 5 - (-7) = 5 + 7.

In this case, subtracting a negative 7 is the same as adding 7. The result of this addition is 12. So, 5 - (-7) is equal to (5 + 7) and both expressions evaluate to 12.

This concept is fundamental in understanding the operations of addition and subtraction and their relationship to positive and negative numbers.

To rewrite subtraction as addition, change the sign of the number being subtracted and then add it to the other number. In the equation 5 - (-7), this becomes 5 + 7 because we flip the negative sign to a positive.

The equation 5 - (-7) can be rewritten as addition by changing the subtraction of a negative number to the addition of a positive one. So, replacing the minus sign with an addition sign, and flipping the sign of the second number from negative to positive yields 5 + 7.

The general rule for subtracting integers is to change the sign of the number being subtracted (the subtrahend) and then proceed with addition. For example, 5 - (+3) = 5 - 3 becomes 5 + (-3) = 2. Another example: subtracting -6 from 2 can be rewritten as 2 - (-6) = 2 + 6 = 8. When handling subtraction, this is how we can always rewrite it as an addition problem.

Answer:

4782969

Step-by-step explanation:

each sequence has its own rule in this cased it is times 3 you multiply each sequence until you get to the 14th one. therefore you get 4782969 hope this helps.

We are required to find the 14th term of the geometric sequence 3, 9, 27, 81,...

The 14th term of the geometric sequence 3, 9, 27, 81,... is 4,782,969

Given:

3, 9, 27, 81,...

First term, a = 3

Second term;

a × r = 9

3 × r = 9

3r = 9

r = 9/3

r = 3

number of terms, n

nth term = a × r^(n - 1)

14th term = 3 × 3^(14 - 1)

= 3 × 3^13

= 3 × 1,594,323

= 4,782,969

Therefore, the 14th term of the geometric sequence 3, 9, 27, 81,... is 4,782,969

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Answer:

That time is  35.4 minutes.

Step-by-step explanation:

The mean time of delivery follows a Normal Distribution pattern.

So we need to apply Z-scores to find out.

99% confidence  in delivery time means  P(z > value) = 0.01  = 1%

So    z > 2.325

so.      Pr [ (x - 21.2) /  6.1   >  2.325 ] = 1%

so  x  >  2.325*6.1 + 21.2

x  >  35.3825 minutes  would be out of the 99th percentile

Final answer:

To calculate the 99th percentile of pizza delivery times, use the z-score corresponding to a 0.99 probability and apply the formula X = μ + (z * σ), where X represents the delivery time, μ is the mean, and σ is the standard deviation.

Explanation:

The student is asking for the 99th percentile of the pizza delivery time, given that the times are normally distributed with a mean of 21.2 minutes and a standard deviation of 6.1 minutes. To find the 99th percentile, one would typically use a z-score table or a statistical software to find the z-value that corresponds to the 0.99 probability. Once the z-score is found, the formula X = μ + (z * σ) is used to calculate the specific time that corresponds to the 99th percentile, where X is the delivery time, μ is the mean delivery time, σ is the standard deviation, and z is the z-score. Since the student is asking for a guaranteed delivery time that covers 99% of the deliveries, this time will be longer than the average to account for the variability represented by the standard deviation.

Answer:

$1 is a missing due to the addition of unrelated amounts.

$(20 - 1)×3 + $2

Can never be equal to

$20 × 3

Step-by-step explanation:

The statement in a nut-shell is

- The three friends paid $20 each initially, to make $60.

- $1 each was returned to them, so that they reduced the expenses, and paid $19 each, to make $57.

- They tipped a man $2.

WHY IS $57 + $2 ≠ $60?

That was so, because the amounts that were added weren't related.

If their total spending was what they wanted to calculate, it should have included the amount in the receipt of $55 payment received from the hotel.

The right calculation should have been:

$55 payment to the hotel

+

$3 change the three friends received ($1 each)

+

$2 tip they gave.

=

$60

Answer:

c= I think its 112.5 but its probably wrong

Step-by-step explanation:

its the longest side on a right angled triangle

Answer:

15 miles.

Step-by-step explanation:

Since this is a right triangle, you have to follow the Pythagorean Theorem to solve this problem. The 2 sides-12 and 9 miles- are the known sides, and we have to find what is the value of c. The first Pythagorean Triplet(It is the pythagorean theorem, it just the triplets) is 3,4,5. If you multiple each of the numbers of any number, you will get another triplet. So, if you multiple 3,4, and 5 by 3, you will get 9, 12, and 15.

Answer:

Step-by-step explanation: 18 * 50 = 900

                                             738/900 = .82

  Move two decimal to right  .82 = 82%

Answer:

New length = [tex]2+7=9[/tex] inches

New width = [tex]2+4=6[/tex] inches

Step-by-step explanation:

Given:

Length of rectangle is 7 inches

Width of a rectangle is 4 inches

The area is increased by 26 square inches when the length and width are increased by the same amount.

To find: new length and width

Solution:

With length of rectangle is 7 inches and width of a rectangle is 4 inches,

area = 7×4 = 28 inches

Let length and width be increased by x inches

New length = x + 7 inches

New Width = x + 4 inches

New area = [tex](x+7)(x+4)=x^2 +11x+28[/tex]

Also, new area = 28 + 26 = 54 square inches.

So,

[tex]28+11x+x^2 =54\\x^2+11x-26=0\\x^2 +13x-2x-26=0\\x(x+13)-2(x+13)=0\\(x-2)(x+13)=0\\x= 2, -13[/tex]

As dimension can not be negative, [tex]x=-13[/tex] is rejected.

So, [tex]x=2[/tex]

New length = [tex]2+7=9[/tex] inches

New width = [tex]2+4=6[/tex] inches

Final answer:

The new dimensions of the rectangle are 6 inches by 9 inches, after increasing both the original width and length by 2 inches to achieve the new area of 54 square inches.

Explanation:

Solution to the Rectangle Problem

The original rectangle is 4 inches wide and 7 inches long, with an area of 28 square inches (since area = width  imes length). When both the length and width are increased by the same amount, the area is 28 inches + 26 inches = 54 square inches. Let's denote the increase in dimension by 'x', thus the new dimensions are (4 + x) inches and (7 + x) inches. The new area is then (4 + x)(7 + x) = 54. Expanding this, we get 28 + 11x + x2 = 54. Simplifying, x2 + 11x - 26 = 0.

To find 'x', we can solve the quadratic equation. Factoring the quadratic, we get (x + 13)(x - 2) = 0, giving us two potential solutions for 'x': -13 and 2. However, since a negative increase in dimension is not possible, we only consider x = 2. Hence, the new dimensions of the rectangle are 6 inches by 9 inches.

Answer:

.3

Step-by-step explanation:

3* 1/10 = .3

.3 is decimal notation

Answer:

0.3

Step-by-step explanation:

1/10 in decimal notation is 0.1 so multiplying it by 3 = 0.3