Which expressions are equivalent

Answer: f(10) = 290

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given expression

f(x) = 3x² - x

Substitute values into the expression

f(10) = 3(10)² - (10)

Simplify exponents

f(10) = 3(100) - (10)

Simplify by multiplication

f(10) = 300 - 10

Simplify by subtraction

f(10) = [tex]\boxed{290}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The stacked boxes would be 2.72 feet tall

The height of the stacked box is the sum of the lengths of the two boxes

1 4/11 is a mixed number and it has to be converted to a decimal

A mixed number is a number that has a whole number and a proper fraction.

A proper fraction is a fraction is which the numerator is less than the denominator.

The whole number is 1 and the proper fraction is 4/11

To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number

4/11 = 0.36

1 + 0.36 = 1.36 feet

Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet

To learn more about decimals, please check:

https://brainly.com/question/18657762?referrer=searchResults

Answer:

gcfcfud g fhhfhchgdjchfhfhgfhhufxyvhcj v hxhcnchchdfhvhdnfjc

Answer:

212205

Step-by-step explanation:

Well each letter is a number of a alaphabet

Answer:

x = 11

Step-by-step explanation:

These angles are alternate exterior angles which means they are equal to each other:

5x + 9 = 6x - 2

5x - 6x = -2 - 9

-x = -11

x = 11

Answer:

x=15 y=3

Both (4x+10y) and (6x) equal 90 degrees, as angle 4x+10y is vertical to a 90 degree right angle, and angle 6x is directly  beneath the right angle, making it equivalent. To find x, you simply do 90/6, which is 15, meaning x=15. Now plug in that into 4x+10y=90, which will make it 60+10y=90. Subtract 60 from 90, and divide the difference, 30, by 10, giving you 3, thus showing that y=3. You can double check by plugging in the x and y values.

Answer:

[tex]h=\displaystyle \frac{3V}{\pi r^2}+1[/tex]

Step-by-step explanation:

Hi there!

[tex]V=\displaystyle\frac{1}{3} \pi r^2(h-1)[/tex]

Divide both sides by [tex]\displaystyle\frac{1}{3} \pi r^2[/tex]:

[tex]\displaystyle \frac{V}{\displaystyle\frac{1}{3} \pi r^2}=(h-1)[/tex]

[tex]\displaystyle \frac{3V}{\pi r^2}=h-1[/tex]

Add 1 to both sides:

[tex]\displaystyle \frac{3V}{\pi r^2}+1=h[/tex]

I hope this helps!

Hi ;-)

[tex]\frac{v}{6}>11 \ \ /\cdot6\\\\\frac{6v}{6}>66\\\\v>66\\\\\huge\boxed{v\in(66;+\infty)}[/tex]

Answer:

721.

Step-by-step explanation:

The total number must be a multiple of 7

One less than the number is the LCM of 2 3 4 5 6 and 8.

The LCM is worked out as follows

2

3

4 = 2*2

5

6 = 2*3

8 = 2*2*2

LCM = 2*2*2* 3*5 = 120

But 121 is not divisible by 7 so it must be a multiple of 120 + 1 which is divisible by 7.

240 + 1 = 241 - not divisible by 7

480 + 1  = 481 - not divisible by 7

720 + 1 = 721

721/7 = 103

Answer:

Step-by-step explanation:

Let say n the number of pennies in the jar.

n is a multiple of 7 : n=7*k

n-1 is a multiple of 2,3,4,5,6,8 so a multiple of the lcm= 120

n-1=120*t

n-1=120*t

n=7*k

120*t=7k-1

7k=120*t+1

[tex]k=\dfrac{120*t+1}{7}\\k=17*t+\dfrac{t+1}{7}\\t=6+7*a\\k=17*(6+7a)+\frac{6+7*a+1}{7} =102+119*a+1+a=103+120*a\\n=7*k=7*(103+120*a)=721+840a\\\\[/tex]

The least number of pennies is 721 (when a=0)

Proof:

n-1=720

720/2=360

720/3=240

720/4=180

720/5=144

720/8=90

721/7=103

Answer: 8.1 × 10¹⁰

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

Solve:

Given expression

(3 × 10⁶) × (2.7 × 10⁴)

Put like terms together

=3 × 2.7 × 10⁶ × 10⁴

Combine like terms

=8.1 × 10⁶⁺⁴

=[tex]\boxed{8.1*10^{10}}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

8.1 x 10^10

Step-by-step explanation:

When you do this type of problem you want to combine the like terms together, in this case is this.

3 × 2.7 × 10⁶ × 10⁴. So you will get.        

8.1 x 10⁶⁺⁴

Which is 8.1 x 10^10 simplified

Answer:

4 days

Step-by-step explanation:

Since it is 8 more than 4 times, take 24 because that is how many days away rays birthday is and subtract 8. So now we have 24-8 which is 16. Now divide 16 by 4 to get 4 which is how many days away janes birthday is. So the answer is 4 days.

Answer:

c.15+2z/6x-12y

f.7a+b/4a-6b

Step-by-step explanation:

z+1/x-2y - 2x-3/2x-4y + z/3x-6y

z+1/x-2y - 2x-3/2(x-2y) + z/3(x-2y)

6(z+1)-3(2z-3)+2z

15+2z/6x-12y

3a/2a-3b - a+b/2(-3b+2a)

6a+a+b/2(2a-3b)

7a+b/4a-6b

Answer:

-8/3x

Step-by-step explanation:

-8 / 3x / 1

-8 / 3x

.....

..

Presumably, the two dice are fair, so that each face has an equal 1/6 probability of being rolled. We roll 2 dice, so there are 6² = 36 possible outcomes, each with 1/36 probability of occurring.

We have

• P(A) = 2/36 = 1/18, because there are only 2 ways to roll a sum of 3 (1+2 and 2+1)

• P(B) = 6/36 = 1/6, because there are 6 ways of rolling a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)

• P(C) = 12/36 = 1/3, because if 1 die shows a 1, then there are 6 possible values for the other die, and vice versa)

(a) By definition of conditional probability,

P(A | C) = P(A and C) / P(C)

A and C only occur together if we had rolled either {1, 2} or {2, 1}, so ultimately

P(A and C) = P(A)

so that

P(A | C) = (1/18) / (1/3) = 3/18 = 1/6

(b) From the definition,

P(B | C) = P(B and C) / P(C)

By the same reasoning as in (a), we have to roll either {1, 6} or {6, 1} to have both B and C occur, so

P(B and C) = (2/36) / (1/3) = 6/36 = 1/6

(c) In order for two events X and Y to be independent, we need to have

P(X and Y) = P(X) P(Y)

or in terms of conditional probability,

P(X | Y) = P(X and Y) / P(Y) = P(X) P(Y) / P(Y) = P(X)

Then it follows that A and C are not independent, while B and C are independent.

Answer:

so our x is <

less than

explanation: 3>2x= 1.5<x

x- 4>2 =6<x

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

no we cannot add them, though we can multiply or divide them. You cannot add them because they have different variables, we need the same variables to add or subtract those.

Step-by-step explanation:

Hope it helps

keep smiling :)

Answer:

b. The opposite of the number is negative

Step-by-step explanation:

the opposite of -6.7 would be 6.7 not a negative

Answer:

B

Step-by-step explanation:

For example, if i gave u 28

The digit two stands for 20, and the digit 8 stands for 8, therefore u call it 28

Each spot has it own name

For example if i gave u the number 12345

5 is in the first spot, therefore 5 x 1 =5

4 is in the tenth spot, therefor 4 x 10 = 40

3 is in the hundred spot, therefore 3 x 100 =300

2 is in the thousand spot, therefore 2 x 1000=2000

1 is in the ten thousand spot, therefore 1 x 10000

=100000

So if u add all these numbers together u will get

12345

OK, so for your question, the 6 in 558672, is in the hundred spot, so 6 x 100 =600

The 3 in 74139 is in the ten spot, so 3 x 10=30

So the product is to multiply them together

600 x 30 =18000

Answer:

523.2 students

Step-by-step explanation:

87.2%×600=523.2 students

Answer:

523.2

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

girly he probably does and just give subtle signs that you do. if a guy wants to spend more time w u he will try his best to get some time w u if that makes sense.

Step-by-step explanation:

Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:

The number of triangles that can be formed by an n-sided shape is n - 2.

Given that:

[tex]n \to[/tex] number of sides

From the attached figures, we have the following observation.

If this pattern continues, the number of triangles for an n-sided shape will be: n - 2

Hence, the conjecture is:

The number of triangles that can be formed by an n-sided shape is n - 2.

Read more about conjectures at:

https://brainly.com/question/15947300

Answer:

10

Step-by-step explanation:

[tex]\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}[/tex]

[tex]\\ \rm\longmapsto Speed=\dfrac{800}{10}[/tex]

[tex]\\ \rm\longmapsto Speed=80km/h[/tex]

[tex]\\ \rm\longmapsto Distance=Speed(Time)[/tex]

[tex]\\ \rm\longmapsto Distance=80(14)[/tex]

[tex]\\ \rm\longmapsto Distance=1120km[/tex]

Answer:

Its C.

Step-by-step explanation:

I had this and its C. trust me

Answer:

5,12,13

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

Small shirts = 12 shirts

Large shirts = 18 shirts

Step-by-step explanation:

Given information

There are plans for ordering 24 medium shirts.

For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.

STEP ONE: Find how many groups of [4 medium shirts] are ordered.

24 / 4 = 6

There should be 6 groups of 4-medium-shirts orders.

STEP TWO: Find the number of small shirts.

6 × 2 = 12 shirts

STEP THREE: Find the number of large shirts.

6 × 3 = 18 shirts

Hope this helps!! :)

Please let me know if you have any questions or need further explanations

Step-by-step explanation:

[tex] \sin(x) + \cos(x) \times \tan(x) \\ = \sin(x) + \cos(x) \times \frac{ \sin(x) }{ \cos(x) } \\ = \sin(x) + \sin(x) \\ = 2 \sin(x) [/tex]

Step-by-step explanation:

sin(x) + cos(x) = sin x ÷cos x

sin(x) + cos(x) sin(x) ÷ cos (x)

join cos x and sin x

sin x + sin x

cancel cos x with cos x

The answer is 2 sin x

Answer:

105

Step-by-step explanation:

219+(-114)=219-114=105