Mathematics Middle School

M to the second power equals 49. Is it 7?

Answers

Answer 1
M^2 = 49
M^2 = 7^2
M = -7 and M = 7
Answer 2
yes because the square root of 49 is 7

Related Questions

Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received 5 fewer cookies than she would have received had all of the cookies been evenly divided among the h grandchildren.
How many cookies did Cindy receive?
Write your answer as an expression.

Answers

If the cookies had been divided equally between the h grandchildren then each grandchild would receive 96/h  cookies.
So Cindy  received (96/h) - 5   cookies
Does not say how many grandchildren. Say n, integer. So, all received some cookies, x, except Cindy, who received 5 less than the even number:

even number= 96/n, Cindy gets 96/n-5, the rest receive the rest of the cookies:

96 - (96/n-5) = 96*(1-1/n) + 5 = 96*(n-1)/n + 5.

Then each of them (n-1) receive the previous number divided by (n-1) -Cindy is not there:

each of the other grandchildren receives:

96/n + 5/(n-1), and Cindy receives 96/n-5, it just needs to be positive.

So any number 'n' which divides 96 and 'n-1' divides 5 works.

Indeed ONLY n=6, makes 5/(6-1) possible.

So there are 6 grandchildren:

5 receive 17 cookies, and Cindy gets 11.

If it were evenly distributed, all would have got 96/6 = 16 cookies.

Now 5 get one more cookie, and Cindy 5 less.

WOW. Very nice problem!! Gonna share it :)


What is 1 3/4 - 5/6r =8/3

Answers

1 3/4 - 5/6r = 8/3

-5/6r + 7/4 = 8/3

-5/6r +7/4 - 7/4 = 8/3 -7/4
-5/6r = 11/12

(6/-5)*(-5/6r)=(6/-5)*(11/12)
=-11/10

r = -1 1/10

If 10% of a group ate sandwiches two days in a row, and 40% of the group had a sandwich on the first day, this means that 25% of the group that ate a first sandwich had a second. A. True B. False

Answers

The problem can be represented on a Venn diagram, as shown below.

We have P(Day 1 ∩ Day 2) = 0.1 and P(Day 1) = 0.4
We can deduce that 30% of the group ONLY had sandwiches on Day 1 and there's 60% of the group ONLY had sandwiches on Day 2.

We obtain the value 60% = 0.6 from 100%-(10%+30%)=60%

We also can deduce that there 70% of the group that had sandwiches on Day 2

The proportion of people who ate sandwiches on Day 2 GIVEN that they ate sandwiches on Day 1 is given by

P(Day 1 ∩ Day 2)÷P(Day 2) = 0.1÷0.4 = 0.25 = 25%

The statement is TRUE

NEED HELP FAST!!!
2.
Two lines, C and D, are represented by the equations given below:

Line C: y = x + 10
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why? (5 points)



(5, 17), because one of the lines passes through this point

(5, 17), because the point lies between the two axes

(4, 14), because the point does not lie on any axis

(4, 14), because both lines pass through this point

Answers

To solve this system of equations, you can just set them equal to each other as they both equal y.  
[tex]x+10 = 3x+2 \\ x+8=3x \\ 8=2x \\ x=4\\[/tex]   
To find the value of y, just plug x back into one of the equations:  
[tex]y=4+10 \\ y=14[/tex]  
The answer to the system is (4,14), but there are two choices corresponding to that. Because this system has a solution that satisfies both x and y, they intersect at a certain point (4,14)  
Your answer is (4, 14), because both lines pass through this point

Answer:

answer D

Step-by-step explanation:

Which of these is the algebraic expression for "some number to the power of 4?"

x4

4x

4x

x + 4

Answers

Answer:

They deserve brainliest!

Step-by-step explanation:

In this exercise we have to identify the formula that is being treated in a written way, so correlating correctly we have:

Letter A

What is power number?

The power is a simplified notation of representing the multiplication of a number, which we call the base, repeatedly by the value of a power that determines how many times we must multiply this number.

So the only one that corresponds to "some number to the power of 4" is:

[tex]x^4[/tex]

See more about power at brainly.com/question/1618040

What is the circumference of a circle with a 7 foot diameter

Answers

To do this, we have to multiply the 7 feet diameter by pi to get the circumference because the formula for circumference is [tex]C = \pi *d[/tex], or circumference = pi times diameter. 7 x 3.14 (pi rounded) = 21.98

Answer: 21.98 feet
Circufmernece=pi times diameter
given that diameter=7ft

circumfernece=7ft times pi
circumfernce=7π ft or aprox 21.98ft

Which statement is true about the circumference of a circle?

It is about three times the diameter.

It is about three times the radius.

It is about twice the radius.

It is about half the diameter.


Answers

A common formula that is often used is 
C = pi*d

where 
C = circumference
pi = 3.14 approximately
d = diameter

So saying "the circumference is roughly 3 times the diameter" is appropriate because pi = 3.14 is roughly 3 if you round to the nearest whole number.

Answer: Choice A) three times the diameter

Which property of real numbers is illustrated by the following statement?
6(7x) = (6 ∙ 7)x

Answers

6(7x) = (6 ∙ 7)x

answer
Associative Property of Multiplication

The basement of a large department store features discounted merchandise. Their policy is to reduce the previous month's price of the item by 5 % each month for 6 months, and then give the unsold items to charity. Let Upper S Subscript 6 be the sale price for the sixth month and Upper P the original price. Express Upper S Subscript 6 as a function of Upper P Baseline Number .

Answers

Basically, you are asked to make an equation to represent the sales price after 6 months. But first, let's formulate the general equation. Let S be the sales price after t months, while P is the base price. The equation would be

S = P(1-0.05t)
Simplifying,
S = 0.95Pt

So, after 6 months, the sales price would be:
S₆ = 0.95P(6)
S₆ = 5.7P

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 3θ. PLEASE HELP ME SOLVE RN I NEED THIS, ALSO INCLUDE THE PROVING PART.

Answers

Symmetry can be determined visually in a graph. If both graphs are mirror-image of each other, then both of the equations are symmetric. But, you can also determine it analytically through testing the symmetry. These are the rules:

If
f(r, θ) = f(r,-θ), symmetric to the polar axis or the x-axis
f(r, θ) = f(-r,θ), symmetric to the y-axis
f(r, θ) = f(-r,-θ), symmetric to the pole or the origin


Test for symmetry about the x-axis
f(r,θ): r=4 cos3θ
f(r,-θ): r = 4 cos3(-θ) ⇒ r = 4 cos3θ
∴The graph is symmetric about the x-axis.

Test for symmetry about the y-axis
f(r,θ): r=4 cos3θ
f(-r,θ): -r = 4 cos3θ
∴The graph is not symmetric about the y-axis.

Test for symmetry about the origin
f(r,θ): r=4 cos3θ
f(-r,-θ): -r = 4 cos3(-θ) ⇒ r = -4 cos3θ
∴The graph is not symmetric about the origin.

the height of an object dropped from the top of a 320-meter building is given by h(t)= -5t^2+320. how long will it take the object to hit the ground

Answers

0=320-5t^2
320=5t^2
t^2=64
t^2=8^2
t=8

In order for the data in the table to represent a linear function with a rate of change of –8, what must be the value of m?

A. m = 2
B. m = 3
C. m = 19
D. m = 35

Which is the correct answer???

Answers

Answer:  The correct option is (C) 19.

Step-by-step explanation:  We are given to find the value of m so that the data the table to represent a linear function with a rate of change of –8.

We know that

the rate of change for a linear function with two points (a, b) and (c, d) is given by

[tex]R=\dfrac{d-b}{c-a}.[/tex]

From the table, we note that the points (10, 27) and (11, m) satisfy the given linear function.

So, the rate of change of the linear function will be

[tex]R=\dfrac{m-27}{11-10}\\\\\\\Rightarrow -8=\dfrac{m-27}{1}\\\\\Rightarrow -8=m-27\\\\\Rightarrow m=27-8\\\\\Rightarrow m=19.[/tex]

Thus, the required value of m is 19.

Option (C) is CORRECT.

I can't seem to figure it out can someone please help me??

Answers

Start by drawing a line AB, then half way the line, label C, which is the midpoint. Continue to follow the instruction until all labels are in place.

We know that line DC = 16, that means line AD also 16
Line AE = ED = 8
Line EF = FD = 4
Line FG = GD = 2

Line DB = 16+32 = 48
Line DH = 48/2 = 24

Line GH = 2+24 = 26

1/12 as a decimal. Long division.

Answers

0.08333333333333 would be the answer, and the 3 would keep repeating.

One side of a triangle is 15 inches, and the area of the triangle is 90 sq. inches. Find the area of a similar triangle in which the corresponding side is 9 inches.

Answers

Do the ratio of the two sides. To get the area square the two sides.

(9/15) ratio of sides

(9/15)^2 ratio of areas

81/225

Multiply for the known area

90*(81/225) = 162/5 = 32,4 sq. inches (area of corresponding triangle)

By definition, a rational number is a number q that can be written as a fraction in the form q=a/b where a and b are integers and b≠0. So, 1/3 is rational because it is exactly what you get when you divide one integer by another.Sep 22, 2015

Answers

Numbers are classified in many ways. One of which is that some are classified as rational. These numbers are those whose values can be expressed in terms of the ratio of two numbers. These may be those repeating and non-repeating. There are also irrational numbers which are non-repeating and cannot be expressed as the ratio of two numbers. 

Help me with the first question

Answers

Part A) Divide 3 over 18.99 and we get 3/18.99 = 0.15798 approximately. So for this choice, we have roughly a 15.798% discount

Part B) The discount here is 10%. So far, discount A is better

Part C) The discount here is 15%. Discount A is also better because 15.798% is larger than 15%

Part D) Convert 1/4 to decimal form to get 0.25 and then move the decimal point 2 spots to the right to get 25%. So 1/4 = 25%. The discount here is 25%. This discount (of 25%) is much better than discount A.

Store 5 has the best discount since 25% is the largest among all the percentages.

Answer: Choice D)

In your day-to-day routines, you use math when you go to the grocery store, bank, mall and when cooking. How do you imagine that you will use math in your healthcare career?

Answers

Math would be useful in planning my healthcare because it will help figure out exactly how much money I can invest in different types of healthcare. For example, i will be able to tell if I can afford to pay hospital bills for common illnesses that everyone experiences in their life like colds, broken part of body. etc. , or if I can pay for more expensive procedures and operations.

Brenda needs $40 to buy a large box of chocolate. She has saved $12 and plans to work as a babysitter to earn $7 per hour. Which inequality shows the minimum number of hours, n, that Brenda should work as a babysitter to earn enough to buy the large box of chocolate?



Answers

(Brenda savings + Brenda baby sitter earning) should be more or at least equal to 40 
If n = number of hours Brenda works then her baby sitter earning = 7n 

12 + 7n ≥ 40 , so n≥4 

So answer is c
SHE SHOULD WORK 4 HOURS MINUMUM FOR HER BOXES OF CHOCLATE

solve
18x^2 -3x -10

What is the smallest solution

Answers

Slip and slide method
x^2-3x-180
(x-15)(x+12)
(6x-5)(3x+2)
Using ZPP
6x-5=0
6x=5
x=5/6 <=== one of the roots
3x+2=0
3x=-2
x=-2/3 <==== another root
Final answer: -2/3

Martina purchased a prepaid phone card for $15.00. Calls cost 5 cents a minute using this card. The credit, C (in dollars), left on the card after it is used for x minutes of calls is given by the following function.

C (x) = 15.00 -0.05x

How much credit is left on the card after Martina uses it for 20 minutes of calls?

Answers

The function is
C(x) = 15.00 - 0.05x

C is how many dollars are left after
x minutes.

So if she uses it for 20 minutes, input that into the x.

C(20) = 15.00 - 0.05(20)
C(20) = 15.00 - 1
C(20) = 14.00


After 20 minutes, there are $14.00 left on the card.

find the value of x below if necessary round to the nearest tenth.
NEED ANSWER PLEASE HELP

Answers

x = 20 x sin(27)

= 9.0798

 rounded to nearest tenth = 9.1

solve for w.
7w=11.2

Answers

Answer: w = 1.6
To solve for w, all you have to do is divide both sides of the equation by 7. This will get rid of the coefficient on the variable, w, allowing you find out what it equals. 11.2/7  = 1.6, and 7w/7  = w, so w = 1.6.
The answer is w=1.6 it is pretty easy if you think about it 

If F(x)=8x, which of the following is the inverse of F(x)

Answers

hello :
[tex]f(x) = 8x[/tex]
let : [tex]y=8x[/tex]
so : [tex]x= \frac{1}{8} y[/tex]
the inverse of  [tex]f(x)[/tex] is :  [tex]g(x) = \frac{1}{8} x[/tex]

Answer: answer is F^1(x) = x/8

Step-by-step explanation:

simplify (4x-4)-3 , pleas help

Answers

12x+12
unless it asks you to factorise again
12(x+1)

hope this helps! Dont forget to put it as the brainliest answer to help me out too xD
Hey, there Jacobbarnes6671! :)

[tex](4x-4)-3[/tex]
Add like terms 
[tex]4x-7[/tex]

This is the furthest you can simplify this expression.

Hope this helps.
-Benjamin

Tim Duncan is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 72% of the time. What is the probability of Tim Duncan making all of his next 8 free throw attempts?

Answers

Answer:

Hence, the probability of Tim Duncan making all of his next 8 free throw attempts is:

[tex](\dfrac{18}{25})^8=0.0722204136[/tex]

Step-by-step explanation:

As the probability of one free throw does not depend on the any other i.e. the probability of each throw is independent.

Hence, the probability of making all of his next 8 free throw is calculated as:

Probability of next 8 free throw=Probability of first free throw×probability o f second free throw×··················× Probability of 8th free throw.

i.e. it is given by:

[tex]Probability=\dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\times \dfrac{72}{100}\\\\\\Probability=(\dfrac{72}{100})^8\\\\Probability=(\dfrac{18}{25})^8[/tex]

Hence, the probability is:

[tex](\dfrac{18}{25})^8=0.0722204136[/tex]

We have that the he probability of Tim Duncan making all of his next 8 free throw attempts  is mathematically given as

[tex]P=0.72^8[/tex]

From the question we are told

Tim Duncan is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 72% of the time. What is the probability of Tim Duncan making all of his next 8 free throw attempts?

Arithmetic

Generally the equation for the  binomial probability is mathematically given as

[tex]P=\frac{n!}{X!(n-X)!}*p^X*(1-p)^{n-X}\\\\Therefore\\\\ P=\frac{8!}{8!(8-8)!}*0.72^8*(1-0.72)^{0}[/tex]

[tex]P=0.72^8[/tex]

For more information on Arithmetic visit

https://brainly.com/question/22568180

how do you solve for the variable ?? help

Answers

Hello there!

2(3x - 4) + 10 = 5(x + 4)
First, let's distribute 2 to 3x and -4, then 5 to x and 4.
2(3x) + 2(-4) + 10
6x - 8 + 10
6x + 2 is our first half of the equation simplified. Now let's do the other.

5(x + 4)
5(x) + 5(4)
5x + 20 is our second half of the equation simplified. Now let's put them back in their original spots.

6x + 2 = 5x + 20
Get x on one side - subtract 5x from both sides.
x  + 2 = 20
Isolate x by adding 8 to both sides.
x = 18 is our answer.

I hope this helps!

The range is the set of
A. first coordinates
B. ordered pairs
C. second coordinates

Answers

The range is the set of A. Ordered Pairs


Feel free to ask me more questions on my profile. I am more than happy to help. Don't forget Brainliest! :)
I think the answer is B. Ordered Pairs
:)

Anton bought a picnic cooler. His total bill, with tax, was $7.95. He paid 6 percent sales tax. How much did he pay for the cooler alone without tax? The cost of an item is 100% of its price. What number goes in the ? Of the additional problem

Answers

1.00-0.06 = 0.94

7.95 x 0.94 = 7.473, round to 7.47 without the tax

Complete the equation and tell what property you used 16+31=31+16

Answers

201555555555555555555555555555555

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