what is the correct solution of
4 - 2x = -2
+4 +4
2x = 2
2 2
x = 6

for (-3)^4, if there were more numbers in the parentheses, the exponent would apply to all numbers in the parentheses

for -3^4, the exponent would only apply the -3.

hope this helps!

Answer:

-3^4=-81 and (-3)^4=81

Step-by-step explanation:

Following the rules of PEMDAS you will do exponents before multiplcation.

A negative sign means that you are multiplying by -1.

-3^4 means you will raise 3 to the 4th power and then multiply by -1. So you will do 3^4 first which is 81 and then multiply by -1. Making the answer -81.

When you put parentheses around the -3 it means you are raising the entire -3 to the power of 4 instead of only the 3. So it will be -3*-3*-3*-3 which is 81.

1)

The ratio of cookies to hours spent cooking = C : H

= 300 : 4

= 75 : 1

2)

How many hours does it take to bake 225 cookies

Answer:

9/4

Step-by-step explanation:

-5 1/4 - (-7 1/2)

-21/4 - (-15/2)

-21/4 + 15/2

-21/4 + 30/4

9/4

Answer:

Answer: x is 46°

Step-by-step explanation:

• Let's first find Angle ACB

\({ \rm{ \angle ACB + 23 \degree + 90 \degree = 180 \degree}} \\ \\ { \rm{ \angle ACB = (180 - 90 - 23) \degree}} \\ \\ { \underline{ \rm{ \: \angle ACB = 67 \degree}}}\)

• From alternative angles, x = Angle BAC.

• Since AB = AC, then Angle ABC = Angle ACB

\({ \rm{x + \angle ABC + \angle ACB = 180 \degree}} \\ \\ { \rm{x + 67 \degree + 67 \degree = 180 \degree}} \\ \\ { \rm{x + 134 \degree = 180 \degree}} \\ \\ { \boxed{ \rm{x = 46 \degree}}}\)

let me add a bit more material, to the great reply above, which is absolutely correct.

we know that AB = AC, that means that triangle ABC is an isosceles and that its two angles at the "base" are congruent, namely the blue angles in the picture.

Since all flat-lines are 180°, then we know the angle to the left of point B is 180 - 44 - 23, and that angle is a corresponding angle with 67 + x.

It will take Adrian 16 full months to save enough money for the electric keyboard.

- Price of the keyboard (with tax) at Macelli's: $2,400
- Adrian's monthly savings: $150
We need to find how long it will take Adrian to save for the keyboard. To do this, we'll divide the total cost of the keyboard by his monthly savings and round up to the nearest full month.
Step 1: Divide the total cost by monthly savings.
Time (in months) = (Total Cost) / (Monthly Savings) = ($2,400) / ($150)
Step 2: Calculate the result.
Time (in months) = 16
So, it will take Adrian 16 full months to save enough money for the electric keyboard.

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The slope of the line from the pair of given points would be \(m = 5\).

Hope this helps!

Answer:

110

Step-by-step explanation:

just subtract the percent :)

Answer:

Rectangle with l = 13 and h = 9

Step-by-step explanation:

To find the area of the rhombus, you multiply base and length.

The base here is 13 and the length is 9.

Multiplying 13 x 9 = 117.

The area of a square is side x side.

So, 11 x 11 = 121.

The area of the rectangle is length x base.

So 13 x 9 = 117.

We see the rhombus and rectangle have the same area.

Answer:

0.92

Step-by-step explanation:

1

0.23

x. 4

———

0.92

Hope it helps

Solution:

A point which is 8 units away from (4, -3) can be:

And,

The two coordinates that are 8 units away are (12, -3) and (4,5).

Answer:

It is 21

Step-by-step explanation:

I took the test

Answer:

x = 147°

Step-by-step explanation:

x = 180° - 33°

x= 147 °

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

The least amount the student must pay is $96

From the question, we are to determine the least amount that the student must pay

From the given information,

A pack of 4 pens cost $20

and

A pack of 6 files cost $18

Since the student wants to buy an equal number of pens and files

Then,

The least number of each item the student must buy is the LCM of 4 and 6

LCM of 4 and 6 = 12

Thus,

The least number pens the student must buy is 12

and

The least number files the student must buy is 12

∴ The student would have to buy 3 packs of 4 pens and 2 packs of 6 files

3 packs of 4 pens = 3 × $20 = $60

and

2 packs of 6 files = 2 × $18 = $36

The least amount the student must pay = $60 + $36

The least amount the student must pay = $96

Hence, the least amount the student must pay is $96

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Answer:

y = \(\frac{16}{3}x-79\)

Step-by-step explanation:

From the given table,

Two points are (1, 15) and (7, 47)

If the two points \((x_1,y_1)\) and \((x_2,y_2)\) are lying on a line then slope 'm' of the line will be,

m = \(\frac{y_2-y_1}{x_2-x_1}\)

   = \(\frac{47-15}{7-1}\)

   = \(\frac{32}{6}\)

   = \(\frac{16}{3}\)

Let the equation of a line passing through (h, k) is,

y - h = m(x - k)

If the line passes through (1, 15)

y - 1 = \(\frac{16}{3}(x-15)\)

y = \(\frac{16}{3}x-\frac{16}{3}(15)+1\)

y = \(\frac{16}{3}x-80+1\)

y = \(\frac{16}{3}x-79\)

Answer:

Right Tail

P(x>3.9)= 0.108

Step-by-step explanation:

In excel, type =NORM.DIST(3.9, 3.7, 0.162, TRUE).

Answer:

Right Tail

0.106

Step-by-step explanation:

The word exceeds means greater than, which are both key words meaning Right-tail probability. With a right tail probability you must subtract the probability from one.

To find the probability a z-score must first be computed using the formula z=x¯−μx¯σx¯

σx¯=0.93‾√1=0.16

z=3.9−3.70.16=1.25

If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.

A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :

g(x) = {-(1/2)x + 1,    for x<-2

       = {-(x+1)²,        for -2≤x≤1

      =  {4                 for x>1

We have to find the value of g(-5) ,g (-2), and g(-1),

For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,

⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,

For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function

"-(x+1)²" will be used,

⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,

For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,

⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,

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Answer:

13

Step-by-step explanation:

\(\text{determinant of A} =\begin{vmatrix}4&-7\\ 3&-2\end{vmatrix}\)

\(\text{determinant of A} =\left( 4\times \left( -2\right) \right) -\left( 3\times \left( -7\right) \right)\)

\(\text{determinant of A} =-8+21=13\)

Answer:

\(b=3/11\)

Step-by-step explanation:

\(-3b+11=8b+8 \\ \\ 11b+8=11 \\ \\ 11b=3 \\ \\ b=3/11\)

Given

The event as,

Randomly selecting a​ four-person committee consisting entirely of from a pool of 9 Americans and 14 Canadians.

To determine whether the individual events are independent or dependent.

Also, to find the probability of the combined event.

Explanation:

The given individual events are independent.

Then, the probability of the combined event is,

Hence, the probability of the combined event is 126126.

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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The value of a is 5, b is 4, c is 0, d is 3, e is 6 and R is 6 after following the long division method.

According to the question,

We have to divide 430 by 8 by following the long division method.

Note that when we follow long division method then the number by which we are dividing (divisor) is to be multiplied in such a way that the result remains less than the number in the dividend.

Now, we will solve it step by step.

In dividing 43 by 8, we have to multiply 8 by 5. Then, we get 40.

So, we have a = 5, b = 4 and c = 0.

Now, after this we have 30 and the number that we get after multiplication is 24. So, 3 has to be multiplied in 8 to get 24.

So, we have d = 3.

Now, when we will subtract 24 from 30, we will get 6.

So, we have e = 6.

And e is also the remainder, R. So, we have R = 6.

Hence, the values of a, b, c, d, e, and R are 5, 4, 0, 3, 6, and 6 respectively.

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There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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Answer:

4÷(6+3)

Step-by-step explanation:

6+3 is the sum of a number and 3, and you divide 4 by that.

The algebraic expression represents the statement The quotient of four and the sum of a number and three is 4÷(x + 3).

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The quotient of four and the sum of a number and three,

The above statement can be written as,

4÷(x + 3)

Here, x is the number

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Answer:

x=12

Triangle abc and Def are congruent but different sizes. The original triangle has side values of 2, 6 and 5. Then the shape is dilated by an unknown factor, giving it the side lengths of 4, x, and 10. Looking at the increase in side lengths we see that theres an increase of 2 to 4, or multiplying by 2 and an increase from 5 to 10, or multiplying by to. So now that we know there was a dilation of 2, we multiply 6 by 2 to find 12

SOLUTION

Part A

From the question,

Green lawn charges $49 + $29 per month and

Grass team charges $25 + $37 per month

Let the number of month they will charge the same be x, then in x month, they both will charge

Solving for x, we have

Hence, they will cost the same in 3 months

Part B

The cost will be

Hence the answer is $136

Part C

If the family use the service for only 6 months, then

For Green Lawn, the cost would be

Hence, Green Lawn will cost $223

For Grass Team, the cost would be

Hence Grass Team will cost $247

Hence Green Lawn is a better option, since it is cheaper

Answer:

x=7

Step-by-step explanation:

Do the equation 8x+5 + 3x+8 = 90 and do the math to come out with 7

Hope this helps :)

Answer:

7*

Step-by-step explanation:

8x + 3x + 8 * + 5*=11x+13*

90*-13*=77*

77*= 11x

x= 77*/11=7*

* = degree

Answer: Yes!

-Ultimately (it states) all numbers in existence can be extracted from Pascal's Triangle. Using his binomial formation of: (a + b)^0 = 1 , where y is the number you are using. and (a + b)^x is the equation you use to find the answer of that row... the usage of that row, and the formation of its components is how you find the powers of numbers in a given row

-You would be able to find each row of the Triangle, and by using the association of Multiplication, addition, distribution, and If you look at the images below you will notice that to find a power of 11 at it's 6th power, you look at the 6th row of Pascal's Triangle Although not completely relevant, I also added an image of using his Triangle to find the Powers of 2

Step-by-step explanation: Hope this help :D

Answer:

Yes you can

Ultimately (it states) all numbers in existence can be extracted from Pascal's Triangle. Using his binomial formation of: (a + b)^0 = 1 , where y is the number you are using. and (a + b)^x  is the equation you use to find the answer of that row... the usage of that row, and the formation of its components is how you find the powers of numbers in a given row

-You would be able to find each row of the Triangle, and by using the association of Multiplication, addition, distribution, and If you look at the images below you will notice that to find a power of 11 at it's 6th power, you look at the 6th row of Pascal's Triangle Although not completely relevant, I also added an image of using his Triangle to find the Powers of 2

correct on Edge 2021

Answer:

B

Step-by-step explanation: it is a quadratic equation it can only have two intercepts