In one week, Altoona, PA, and Bethlehem, PA, Received snowfall every day, Monday through Friday. On which days did Altoona receive over 1 inch more snow than Bethlehem?

Answer:

True.

Step-by-step explanation:

Consecutive square numbers can be written as:

1^2, 2^2, 3^2, 4^2, 5^2 ...

The sequence of the numbers being squared in odd, even, odd, even...

Squaring an odd number yields an odd. Squaring an even yields an even. The difference between an odd and even number is always odd. Since consecutive perfect squares are odd, even, odd... then the difference is always odd.

Answer:

The answer is: True.

Step-by-step explanation:

A perfect square number in math is an integer that can be expressed as the product of a number by itself.

The difference between each square and consecutive number, if it starts with 0, is all odd numbers, in ascending order.

The answer is: True.

The expression simplifies to[tex]\( \left(\frac{2}{3}\right)^8 \), representing \( \frac{2^8}{3^8} \), or \( \frac{256}{6561} \).[/tex]

Sure, here's a detailed stepwise solution with explanation:

1. **Understand the problem**: We're asked to simplify the expression  [tex]\( \left(\frac{2}{3}\right)^2 \cdot \left(\frac{2}{3}\right)^6 \).[/tex]

2. **Apply the exponent property**: According to the exponent property [tex]\(a^m \cdot a^n = a^{m+n}\),[/tex] when multiplying two expressions with the same base, we add their exponents.

3. **Calculate the exponents**:

  - The first expression  [tex]\( \left(\frac{2}{3}\right)^2 \) has an exponent of 2. - The second expression \( \left(\frac{2}{3}\right)^6 \)[/tex] has an exponent of 6.

4. **Add the exponents**:

[tex]- \(2 + 6 = 8\).[/tex]

5. **Combine the expressions**:

  - By applying the exponent property, we get  [tex]\( \left(\frac{2}{3}\right)^{2+6} = \left(\frac{2}{3}\right)^8 \).[/tex]

6. **Final result**:

  - The simplified expression is [tex]\( \left(\frac{2}{3}\right)^8 \), which represents \( \frac{2^8}{3^8} \).[/tex]

  - This can also be expressed as [tex]\frac{256}{656\1} \),[/tex] where 256 is the numerator and 6561 is the denominator.

7. **Explanation of the result**:

  - The simplified expression represents the result of raising  [tex]\( \frac{2}{3} \)[/tex] to the power of 8, which is obtained by multiplying the expression by itself 8 times.

  - It can be interpreted as the fraction [tex]\( \frac{256}{6561} \)[/tex] , which is the result of raising 2 to the 8th power in the numerator and 3 to the 8th power in the denominator.

Step 1: Subtract 2x from both sides.7x−2x=2x−35−2x5x=−35   Step 2: Divide both sides by 5.‌5x5‌=‌−355‌x=−7 Answer: x = −7

Hope I helped.

5/6+2 3/4

= 10/12 + 2 9/12

= 2 19/12

= 3 7/12

Hope that helps

Mixed Number Form:[tex]3\frac{7}{12}[/tex]

Step by step: [tex]\frac{5}{6} + 2\frac{3}{4}[/tex]

= [tex]\frac{5}{6} + \frac{11}{4}[/tex]

= [tex]\frac{43}{12}[/tex]

Answer: [tex]3\frac{7}{12}[/tex]

To solve the equation we have to rearrange the terms i.e. like terms on one side

[tex]-28 = 22 - 5x[/tex]

Subtracting 22 from both sides we get

[tex] -28 -22 = 22-5x - 22[/tex]

[tex] -50 = -5x[/tex]

Divide both sides by -5 we get

[tex]\frac{-50}{-5} = \frac{-5x}{-5}[/tex]

On simplifying we get

[tex] x =10[/tex]

Hence, x= 10 is your answer

Hope this will help

1. ∠1 ≅ ∠3                                              1. given

  ∠1 and ∠6 are supplementary angles

  ∠3, ∠4, and ∠5 are supplementary angles

2. m∠1 = m∠3                                        2. definition of congruency

3. m∠1 + m∠6 = 180°                             3. definition of supplementary angles

   m∠3 + m∠4 + m∠5 = 180°

4.  m∠3 + m∠4 + m∠5 = m∠1 + m∠6     4. transitive property

5.  m∠3 + m∠4 + m∠5 = m∠3 + m∠6     5. substitution property

6.  m∠4 + m∠5 = m∠6                             6. subtraction property of equality

The answer to this equation would be 7.21

the answer is 7.21.

Answer:

Step-by-step explanation:

divide every one by m^2

1:m^2+1

You have to divide 9 by 2.5, which is 3.6

The answer is $3.60 per pound of chicken breasts

Answer:

Okay Im going off of my work because we did some in class and then the rest by ourselves but i turned mine in yesterday but didnt recieve a grade yet but i hope these help you...

The number number line it is seven units apart.

The absolute value larger number smaller number would be 2 - (-5). So what you do with that is keep the 2 change the subtraction sign to plus sign and change the negative 5 to positive 5. So your answer would be 7.

And smaller number to larger number would be -5 - 2. And then you do the same steps as the last one. Keep the negative five, change the subtraction sign to addition sign and make the two  negative. And that answer would be -7

2. For the number two problem you would plot the robins nest just below the top of the verticle line. the red squirrel den would be right next to the zero but a tad up. And the groundhog burrow would be below the zero mark and a little before the end of the verticle line.

Next, for groundhog burrow to red squirrel den you put the number 0.3-(-1.2)=1.5    Red squirrel den to Robin’s nest 3.6 – 0.3 = 3.3. And for the last one Groundhog burrow to Robin’s nest 3.6 – (-1.2) = 4.8.

3. you have to turn the 1 1/2 and 3/4 into 8ths. 1/2= 3*4 = 12 and for the denominator 2*4 = 8. So 12/8.

The next one is 3*2 which is 6 and 4*2=8

so now you have 12/8, 6/8, and 1/8

you have to add the points on the chart (i cant really help you on this part because i do not know how to upload picture) but you would make 24 and then you find where 12/8 would go and draw the hops but on mine the hop looks like how you would draw a rainbow but just one for the 12. Then do the same for the 6 and add 1 for the last one to make 19.

On mine I add the 12 + 6 + 1 = 19 so that is how i got mine. (sry if this a bad explination)

it should kinda look like this on the chart.

| | | | | | | | | | | | | | | | | | | | | | | | they should be spaced apart like this.

and for the last one i put cup 3 because it bigger than the amount of ingrident in the recipe. (im not sure if that one was the answer this is the only part we didnt get help on in class)

Answer:

y = m(x - 2)

Step-by-step explanation:

If y over x-2= m and we want to solve for y, multiply both sides of the equation y over x-2= m by (x - 2) first, to remove fractions:

y = m(x - 2)

It will be greater, since there are 16 ounces in a pound. You can say that the new amount will be 16 times the amount of pounds there is.

When you convert pounds to ounces, the number of ounces will always be greater. This is due to the fact that 1 pound equals 16 ounces.

If you convert pounds to ounces, the number of ounces will be greater than the number of pounds. This is because 1 pound equals 16 ounces. For instance, if you have 2 pounds, and you want to convert it into ounces, you would multiply the 2 pounds by 16 (the conversion factor), which would give you 32 ounces. Therefore, the number of ounces is always going to be greater than the number of pounds when you're converting pounds into ounces.

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she uses 1/12 of the paper

She uses ¹/₁₂ of the sheet of paper to make the flower

Order of Operations in Mathematics follow this following rule :

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem!

Let :

Total Area of Paper = X

Given:

Mrs. Sheppard cuts 1/2 of a piece of construction paper

[tex]\texttt{Cutting Piece Area of Paper} = \frac{1}{2} \times \texttt{Total Area of Paper}[/tex]

[tex]\texttt{Cutting Piece Area of Paper} = \frac{1}{2} \times X[/tex]

[tex]\texttt{Cutting Piece Area of Paper} = \boxed {\frac{1}{2} X}[/tex]

She uses 1/6 of the piece to make a flower

[tex]\texttt{Area of Paper for Making Flower} = \frac{1}{6} \times \texttt{Cutting Piece Area of Paper}[/tex]

[tex]\texttt{Area of Paper for Making Flower} = \frac{1}{6} \times \frac{1}{2} X[/tex]

[tex]\texttt{Area of Paper for Making Flower} = \frac{1 \times 1}{2 \times 6}X[/tex]

[tex]\texttt{Area of Paper for Making Flower} = \boxed {\frac{1}{12}X}[/tex]

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

[tex]f(x)=4x-11\\\\\text{Put the value of x = 5 to the equation of the function}\\\\f(5)=4(5)-11=20-11=9[/tex]

Steps:

isolate " x "  for -2x + 2y  + 3z  = 0 ;    x = -  ( - 3z - 2y ) / 2

Subsititute : x = -  ( - 3z - 2y ) / 2

- 2 * (  - ( - 3z - 2y ) / 2 ) - y + z = - 3

2 * ( -  ( - 3z - 2y ) / 2 ) + 3y  + 3z  =5

isolate " z " for  :  - 2  ( -  ( - 3z - 2y ) / 2 ) - y+ z = - 3 ;  z = - ( - 3 +  3y / 2 )

subsititute  z = - ( - 3 + 3y / 2 ) :

2* ( - ( -3* ( - ( - 3 +3y / 2 ) - 2y / 2  ) + 3y  + 3  ( - ( - 3 + 3y / 2 ) = 5

isolate y for 2 ( -( - 3 ) - 3 + 3y / 2 ) - 2y / 2 ) + 3y + 3 ( - ( - 3 + 3y / 2 ) = 5

y = 1

for z =  - ( - 3+ 3y ) / 2

subsititute y = 1

z = - ( - 3 + 3  * 1 ) / 2

z =  0

For x  = - ( - 3z - 2y ) / 2

subsititute y = 1

subsititute z = 0

x = -  ( - 3 *0 - 2 * 1 ) / 2

x =  1

x = 1  , y =  1  , z = 0

Answer:

Yes

Step-by-step explanation:

It is rational because it isnt a decimal or fraction

Pls rate me 5 stars and thank me :D

The distance between the spokes of the wheel will be πr / 8 units.

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

A wheel has 16 spokes. Then the angle between the two spokes is calculated as,

θ = 2π / 16

Let 'r' be the radius of the wheel. Then the distance between the spokes will be given as,

Arc = ((2π / 16)/2π) 2πr

Arc = 2πr / 16

Arc = πr / 8

The distance between the spokes of the wheel will be πr / 8 units.

More about the arc length of the sector link is given below.

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The population of a town y years after 1970 is;

31,787 + 1,735y.

From the results above;

y represents the number years

So the population increased by 1,735 people each year after 1970.

Population after y years = 31,787 + 1,735y

The correct choice is 'A.'

Answer:

6.875

Step-by-step explanation:

We have been given that after a storm Michael measured 6 7/8 inches of snow. We are asked to show this amount  as a decimal.

We can represent our improper fraction as a whole and a part as:

[tex]6\frac{7}{8}=6+\frac{7}{8}[/tex]

Let us convert [tex]\frac{7}{8}[/tex] as a decimal.

[tex]6+\frac{7}{8}=6+0.875=6.875[/tex]

Therefore, the amount as a decimal would be 6.875.

C

the equation of a parabola in ' vertex form ' is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

the vertex of g(x) = (1, - 3) and a = 1

g(x) = (x - 1)² - 3

Domain is (5, ∞), {x| x is greater than 5} for all integer n

Range is (-∞, ∞), {y| y belongs to Reals numbers}

[tex]F(x) = log (x - 5)[/tex]

Set up the equation for x

[tex]x - 5 > 0[/tex]

or,

x > 5

So the domain is all values of x greater than 5 to infinity.

Range is set of all correct or valid values of y.

Range = (-∞, ∞), {y| y belongs to Reals numbers}

I think the answer is 2 (D)   Hope this helps :D

Answer:

6

Step-by-step explanation:

S+ST = RT  

3x+1 + 2x-2 = 64  

5x = 65  

x = 13

To divide x^3 - 3x^2 by x - 2, use long division. The quotient is x^2 - x - 4.

To divide x^3 - 3x^2 by x - 2, we can use long division. Here are the steps:

Therefore, the quotient of x^3 - 3x^2 divided by x - 2 is x^2 - x - 4.

The value of [tex]\( k \)[/tex] is 2.

Which gives a remainder of 0, indicating [tex]\( x - 2 \)[/tex] is a factor of the polynomial [tex]\( x^3 - 3x^2 - 10x + 24 \)[/tex]. The complete synthetic division process for [tex]\( k = 2 \)[/tex] would then be:

 2 |  1   -3   -10   24

 |      2    -2   -24

   ---------------------

     1   -1   -12    0

The quotient of the division is [tex]\( x^2 - x - 12 \)[/tex] with a remainder of 0.

complete question given below:

We are given

nine less than three times a number is forty

we know that

we always start our order of operation from left to right

This sentence represents equality

Let's assume that number as 'x'

Left side is :

3x-9

Right side is :

40

so, we can write as

[tex]3x-9=40[/tex].............Answer