If the sum of six consecutive even integers is 438, what is the smallest of the six integers?

Answers

Answer 1
46
Because the sum of six consecutive is 46

Related Questions

Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position.
a(t) = -24; v(0) = 17, s(0) = 0
s(t) =

Answers

Answer:

Position function is [tex]s(t)=-12t^2[/tex]

Step-by-step explanation:

Given [tex]a(t)=-24[/tex], since velocity is the antiderivative of acceleration, then [tex]v(t)=-24t[/tex].

Also, since position is the antiderivative of velocity, then [tex]s(t)=-12t^2[/tex].

Espai
A house on the market was valued at $224,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What
is the current value of the house?
Decrease in value:
Current house value:

Answers

Answer:

decrease in value: 20,160

current value: 203,840

Step-by-step explanation:

that is the 9% value decrease of the house

Find the sum. 2/5 (d-10) -2/3 (d+6)

Answers

Answer:

Step-by-step explanation:

2/5 (d - 10) - 2/3 (d + 6)

=> 2d - 20/5 - 2d - 12/3

By taking LCM of 5, 3 = 15

=> 6d - 30/ 15 - (10d - 60/15)

=> 6d - 30/15 - 10d + 60/15

=> -4d + 30/15

Hope you understood!!

Find f ′(x) for f(x) = ln(x^4 + e^(2x)).

Answers

[tex]\text{Given that,}\\\\\\f(x) = \ln(x^4 +e^{2x})\\\\\\f'(x) = \dfrac{1}{x^4 + e^{2x}} \left(4x^3+2e^{2x}\right) = \dfrac{2(2x^3+e^{2x})}{x^4 + e^{2x}}~~~~;[\text{Chain rule}]\\\\\\\text{Note:}\\\\\dfrac{d}{dx} \ln x = \dfrac 1x\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} e^{mx} = m e^{mx}[/tex]

After solving the given equation, the value obtained is equal to [tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex].

What is an expression?

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. To include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the given data in the question,

f(x) = ln (x⁴ + e²ˣ)

[tex]f'(x)=\frac{1}{x^4+e^2^x}(4x^3+2e^2^x)[/tex]

Now, use the chain rule,

[tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex]

Also, note some points,

d/dx ln (x) = 1/x

[tex]\frac{d}{dx}x^n=nx^n^-^1[/tex]

To know more about Expression:

https://brainly.com/question/14083225

#SPJ2

Write the sphere in standard form. 4x2 + 4y2 + 4z2 − 24x + 16y = 1

Answers

Answer:

  (x -3)^2 +(y +2)^2 +z^2 = 13.25

Step-by-step explanation:

Divide by 4 and complete the squares.

  x^2 -6x +y^2 +4y +z^2 = 1/4

  (x^2 -6x +9) +(y^2 +4y +4) +z^2 = 13 1/4

  (x -3)^2 +(y +2)^2 +z^2 = 13.25

pls help it is math for 7th grade.

Answers

Answer:

36.8   *36 8/10 of 36 4/5

Step-by-step explanation:

2/5x(-1/2)= -2/10

37+(-2/10)=36.8



What is the value of (-5)2?

Answers

-10 because 5 x 2 is 10 but it’s negative instead

Answer:

-10

Step-by-step explanation:

when a number Inside of parentheses is close to another number (like being near a fireplace trying to say warm) it means to multiply :3 !

Example: (3)2=6           6(6)=36

in our case it is (-5)2        So was ist -5 x 2? -10

hope this helped!

for some extra practice to check your knowledge, what is (-3+-2)2 ?

The sum of three consecutive odd numbers is 987. Find the numbers.

Answers

Answer:

Step-by-step explanation:

Let first odd number = a, second odd number = a +2, third odd number = a + 4

a + a + 2 + a + 4 = 987

3a + 6 = 987

3a = 981

a = 327

First odd number = a = 327

Second odd number = a + 2 = 329

Third odd number = a + 4 = 331

simplify (√(π -√17)^2)

Answers

Answer: The answer is Iπ + √17|.

A right triangle has legs of lengths 7.5 ft and 8.0 ft. Find the length of the hypotenuse.

Answers

Answer:

multiply

Step-by-step explanation:

Matthew had $12m. He spent 80¢ every day. How much did he have left
after 2 weeks? Give your answer in dollars.

Answers

Answer:

11999988.80 or .80

Step-by-step explanation:

12,000,000-(.80*14)=11999988.80

12-(.80*14)=.80

Solve for x please help me

Answers

Answer:

30

Step-by-step explanation:

all angles add up to 180*, 180-90=90, 90=3x, 30=x

Answer:

x = 30

Step-by-step explanation:

One side is 90 so the other two sides have to add up to 90 too because a triangles' angles have to add up to 180.

So, we can write that 2x + x = 90

Then we can solve for x:

2x + x = 90

3x = 90

x = 30

LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given)

Answers

Answer:

See below

Step-by-step explanation:

W (-1, 0) W' (-2, 0)

X (2, 2) X' (4, 4)

Y (2, -1) Y' (4, -2)

Plot these 3 points on the graph.

1
Renee is comparing prices from Kay's Catering and Weddings 'R' Us to serve the meals for her wedding
dinner. The catering cost, c, for each catering service Renee is considering, based on x meals served, is
shown on the coordinate grid.
Catering Cost for Wedding
2000
1800
1600
Kay's Catering
A
1400
1200
1000
C= 10m + 800
C = 15m + 400
Catering Cost ($)
800
Weddings 'R' US
B
C =
600
5m + 800
am + 800
400
200
C=
10 20 30 40 50 60 70 80 90 100
Number of Meals
с
C= 800m + 10
C = 400m + 15
Which system of equations is best represented by this graph?
D
C = 3m + 1,600
C =
M + 80

Answers

Answer:

5000

Step-by-step explanation:

Find the total area of the shape shown below in square feet. Enter only the number.
16 feet
5 feet
12 feet
9 feet
7 feet
7 feet
The solution is

Answers

Answer:

129, because you split the shape into two find the area of them separately and then add them up

An auto insurance company classifies each motorist as "high risk" if the motorist has had at least one moving violation during the past calendar year and "low risk" if the motorist has had no violations during the past calendar year. According to the company's data, a high-risk motorist has a 50% chance of remaining in the high-risk category the next year and a 50% chance of moving to the low-risk category. A low-risk motorist has a 90% chance of moving to the high-risk category the next year and a 10% chance of remaining in the low-risk category. In the long term, what percentage of motorists fall in each category? (Round your answers to two decimal places.)

high-risk category %
low-risk category %

Answers

The percentage of motorists falling in each category, in the long term, are as follows:

High-risk category = 70%

Low-risk category = 30%

Data and Calculations:

Risk Profile Categories of Motorists

                                                       High Risk      Low Risk

Probability of remaining

 in the same category                      50%              10%

Probability of moving to another

 category                                          50%              90%

Probability a motorist falling in the high-risk category = (50% x 50%) + (50% x 90%)

= 25% + 45%

= 70%

Probability a motorist falling in the low-risk category = (50% x 50%) + (50% x 10%)

= 25% + 5%

= 30%

Thus, the probability of a motorist falling in the high-risk category is 70%, while the probability of a motorist falling in the low-risk category is 30%.

Learn more about probability here: https://brainly.com/question/24756209

I need help on math please

Answers

Answer:

if i correct pls comment I think it is 33

Given that
P
=
x
+
y
.
Find
P
when:
x
=
3
and
y
=

11

Answers

Answer:

P=14

Step-by-step explanation:

Since P depends on two variables x and y as the sum of the two, then;

P = 3+ 11

P = 14

Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as dimes. Write a system of equations that could be used to determine the number of dimes and the number of quarters that Sophie has.

Answers

Answer:

0.25q +0.10d = 4.20q = 2d

Step-by-step explanation:

Let q represent the number of quarters, and d represent the number of dimes.

  0.25q +0.10d = 4.20 . . . . . the value of the coins

  q = 2d . . . . . . . . . . . . . . . the relation between the numbers of coins.

__

Additional comment

Using substitution, the equation simplifies to ...

  0.60d = 4.20

  d = 7

  q = 14

Note that the coins can be grouped into groups of 2 quarters and 1 dime. The value of the group is $0.60, and the number of dimes is equal to the number of groups. Thinking about the problem in this way gets you immediately to the single equation 0.60d = 4.20.

Answer them all please ​

Answers

Answer:

see the attachment

i hope it helps u ✌️✌️✌️☠️

a) The highest common factor and the least common multiple are 12 and 48, respectively.

b) The highest common factor and the least common multiple are 12 and 72, respectively.

c) The highest common factor and the least common multiple are 8 and 160, respectively.

d) The highest common factor and the least common multiple are 12 and 48, respectively.

e) The highest common factor and the least common multiple are 14 and 840, respectively.

Procedure - Determination of the Highest Common Factor and the Least Common Multiple of two integers

In this question we must determine the highest common factor and the least common multiple of two integers.

The highest common factor consists in the maximum product of common prime numbers, of the two numbers that divides it, and the least common multiple consists in the product of prime numbers, common and not, of the two numbers, that creates a product that it is greater or equal to the greater integer.

Now, we proceed to determine the numbers for each case:

a) 12 and 48

First, we factorize each integer:

[tex]12 = 2^{2}\times 3[/tex], [tex]48 = 2^{4}\times 3[/tex]

Then the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{4}\times 3 = 48[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]

The highest common factor and the least common multiple are 12 and 48, respectively. [tex]\blacksquare[/tex]

b) 24 and 36

First, we factorize each integer:

[tex]24 = 2^{3}\times 3[/tex], [tex]36 = 2^{2}\times 3^{2}[/tex]

Then, the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{3}\times 3^{2} = 72[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]

The highest common factor and the least common multiple are 12 and 72, respectively. [tex]\blacksquare[/tex]

c) 32 and 40

First, we factorize each integer:

[tex]32 = 2^{5}[/tex], [tex]40 = 2^{3}\times 5[/tex]

Then, the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{5}\times 5 = 160[/tex], [tex]HCF = 2^{3} = 8[/tex]

The highest common factor and the least common multiple are 8 and 160, respectively. [tex]\blacksquare[/tex]

d) 24, 48 and 60

First, we factorize each integer:

[tex]24 = 2^{3}\times 3[/tex], [tex]48 = 2^{4}\times 3[/tex], [tex]60 = 2^{2}\times 3 \times 5[/tex]

Then, the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{4}\times 3 \times 5 = 48[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]

The highest common factor and the least common multiple are 12 and 48, respectively. [tex]\blacksquare[/tex]

e) 42, 56 and 70

First, we factorize each integer:

[tex]42 = 2\times 3 \times 7[/tex], [tex]56 = 2^{3}\times 7[/tex], [tex]70 = 2\times 5\times 7[/tex]

Then, the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{3} \times 3 \times 5 \times 7 = 840[/tex], [tex]HCF = 2\times 7 = 14[/tex]

The highest common factor and the least common multiple are 14 and 840, respectively. [tex]\blacksquare[/tex]

To learn more on prime numbers, we kindly invite to check this verified question: https://brainly.com/question/4184435

QUESTION 21 PLEASE HELPPP

Answers

Answer:

one solution

Step-by-step explanation:

Since both are y-isolated equation, we can write as:

[tex]\displaystyle \large{6x-2=4x-2}[/tex]

Solve for x, first move 4x to subtract with 6x and -2 to add with -2

[tex]\displaystyle \large{6x-4x=-2+2}\\\displaystyle \large{2x=0}\\\displaystyle \large{x=0}[/tex]

Then substitute x = 0 in any of these equations which we receive y = -2.

And the solution is (0,-2) which only has one solution.

What is the scale factor k? The hummingbird nectar recipe is 4 cups of
water to every 1 cup of sugar. If I double the recipe, I will need 8 cups of
water and 2 cups of sugar. If I want half of the recipe, I would need 2 cups
of water and 1/2 cup of sugar. What is the scale factor of water to sugar?
k=

Answers

Answer:

2

Step-by-step explanation:

Scale factor of water to sugar=k

So,

k= amount of water/amount of sugar

=4 / 2

= 2 ANS

Help help math math math

Answers

Answer:

y = 3x + 4

x=? (m) , and 'm' is how steep the slope is , which is at 3 , located on the X-axis. The blank is 'b' which is where the point intercepts the Y-axis , which is at 4 , located on the Y-axis.

(i think this is right im not sure tho)

Answer:

3x+1

Step-by-step explanation:

3 is the slope. 3 times x is 3 because x is one. 3+1=4 4 is y

4(1.75y − 3.5) + 1.25y

Answers

Hello there

This is a simple algebra problem, that we will be solving...

First let's use [tex]PEMDAS[/tex], and [tex]DISTRIBUTIVE\:PROPERTY[/tex]

______________

[tex]{\huge{\boxed{\mathbb{PEMDAS}}}[/tex]

Parenthesis Exponents Multiplication or Division Addition or Subtraction

______________

[tex]{\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}[/tex]

Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

______________

[tex]4(1.75y-3.5)+1.25y[/tex], first distribute...

[tex]7y-14+1.25y[/tex], combine like terms, and we get [tex]8.25y-14[/tex] as our answer

Find the domain and the range of the given relation {(-1,-5),(-3,0),(9,1),(1,9)}

Answers

Answer:

1,3,4,6,8} { 1 , 3 , 4 , 6 , 8 }. Range:{2,4,5,7,9}

Step-by-step explanation:

The domain is the set of all the values of x x . The range is the set of all the values of y y .

A factory employs 1274 people across three departments. The second department employs 70 more people than the first department, and the third department employs 84 more people than the second department. How many people work in each department?


50 POINTS + BRAINILEST TO CORRECT ANSWER <3
also please show step by step if you can :D

Answers

Answer:

350

Step-by-step explanation:

Write out the equation

d + d + 70 + d + 154 = 1274

Simplify

3d + 224 = 1274

Solve

3d = 1050

d = 1050 / 3

d = 350

Answer:

350

No probelm

Equation for 13 divided by 4 equals 3.25

Answers

Answer: 13 ÷ 4 = 3.25 or [tex]\frac{13}{4} = 3.25[/tex] (Both means the same thing but you can pick which equation you want0

Step-by-step explanation: Hope this helps! :D

Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72° with the

ground. How high up the wall does the ladder reach? Round your answer to the

nearest tenth of a foot if necessary.

Answers

Answer:

sin(72°)=x÷20ft.

sin(72°)×20ft.= 19ft 252 inches

the ladder reach 19ft 252 inches tall on the building.

Step-by-step explanation:

Ron wants to make money painting portraits of people at the local mall. The mall
charges Ron $22.00 a day for Ron to set up his materials to sell his portraits. He
charges $15.50 a portrait, but it costs him $3.25 in materials to make that portrait.
If x represents the number of portraits that Ron sells at the mall, which of the
following expressions would represent Ron's profit (how much money Ron will walk
away with at the end of the day)? (There is more than one answer)
12. 25x – 22.00
15.50x – 22.00
0-22.00 + 15.50x – 3.25x
15.50x
3. 25x – 22.00
22.00x – 3.25x
15.50

Answers

Answer:

A and C

Step-by-step explanation:

With the amount x of portraits the daily balance is:

- $22.00+ $15.50x- $3.25x

The total is:

15.50x - 3.25x - 22.00 ⇒ 12.25x - 22.00

Correct choices are A and C

With the amount x of portraits the daily balance is:

- $22.00

+ $15.50x

- $3.25x

The total is:

15.50x - 3.25x - 22.00 ⇒ 12.25x - 22.00

Correct choices are A and C

Ten minus three tenths of n

Answers

Answer:

[tex]10 - \frac{3}{10} n[/tex]

Step-by-step explanation:

hope that is right and hope it helps

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