4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)


1.
Oliver owes his sister $27.

2.
A building is 38 feet tall.

3.
Erica jumped 2.7 feet above ground.

4.
The scuba diver was 38 feet below sea level.

5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7

Answers

Answer 1

The statements with their relation to 0 are:

Oliver owes his sister $27. [tex]\to[/tex] -27 A building is 38 feet tall. [tex]\to[/tex] 27 Erica jumped 2.7 feet above ground. [tex]\to[/tex] 2.7 The scuba diver was 38 feet below sea level. [tex]\to[/tex] -38 The basement is 8.3 feet below ground. [tex]\to[/tex] -8.3

Statements that represent positions above the sea level are illustrated using the positive sign, while positions below the sea level are represented using the negative sign.

The above highlights imply that the following statements would be represented with positive sign:

A building is 38 feet tall.Erica jumped 2.7 feet above ground.

This is so, because height and positions above the ground are above the sea level

Also, the following statements would be represented with negative sign:

Oliver owes his sister $27. [tex]\to[/tex] -27   The scuba diver was 38 feet below sea level. [tex]\to[/tex] -38 The basement is 8.3 feet below ground. [tex]\to[/tex] -8.3

This is so, because debt and positions below the ground are below the sea level

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Related Questions

simplify.
|−6 + (−3)| (−3) + 8 ÷ 2

Answers

Convert
6
3
8
6
3
8
to an improper fraction.
Tap for more steps...
51
8

2
1
4
51
8
-
2
1
4
Convert
2
1
4
2
1
4
to an improper fraction.
Tap for more steps...
51
8

9
4
51
8
-
9
4
To write

9
4
-
9
4
as a fraction with a common denominator, multiply by
2
2
2
2
.
51
8

9
4

2
2
51
8
-
9
4

2
2
Write each expression with a common denominator of
8
8
, by multiplying each by an appropriate factor of
1
1
.
Tap for more steps...
51
8

9

2
8
51
8
-
9

2
8
Combine the numerators over the common denominator.
51

9

2
8
51
-
9

2
8
Simplify the numerator.
Tap for more steps...
33
8
33
8
The result can be shown in multiple forms.
Exact Form:
33
8
33
8
Decimal Form:
4.125
4.125
Mixed Number Form:
4
1
8

If the expression inside the absolute value bars which is -6 .Simplifying the expression |−6 + (−3)| (−3) + 8 ÷ 2 is: 9.

What is the expression?

Let simplify the given expression step by step:

|-6 + (-3)| = |-9| = 9

First calculate the expression inside the absolute value bars which is -6 + (-3) = -9. Then  take the absolute value of -9, which is 9.

(-3) + 8 ÷ 2 = (-3) + 4 = 1

We follow the order of operations (PEMDAS/BODMAS).

First perform the division:

8 ÷ 2 = 4

Add -3 to 4 which gives us 1.

Simplified expression :

9 * 1 = 9

Therefore the expression is 9.

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Find the x and y intercepts of y=-x-8

Answers

Answer:

anyone wants to have fun with indian girl ?

What is equivalent to 10/100

Answers

Answer:

1/10

Step-by-step explanation:

10/100

Dividing both sides by 10

10 ÷ 10/100 ÷ 10

1/10

Hence,

10/100 is equivalent to 1/10

Answer:

Decimal: 0.1  (One tenth)

Fraction: 1/10

Percentage: 10%

Step-by-step explanation:

For decimal that would be 10% out of 100% which is what 10/100 is as a percentage. The fraction would have the numerator and denominator divided by 10.

The decimal would be equivalent when it is turned into a fraction 1/10 which is equivalent to 10/100.

I Hope this Helps

what is the answer of solve the following equations and verify your answer ​ ​

Answers

Answer:

Solution !!

[tex] \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}[/tex]

By cross multiplication :

[tex] \implies{\sf{ {3(p + 7)} = 1{(p - 6)} }}[/tex]

[tex]\implies{\sf{3p + 27 = p - 6 }}[/tex]

[tex]\implies{\sf{3p - p = - 6 - 21}}[/tex]

[tex]\implies{\sf{2p = - 27}}[/tex]

[tex]\implies{\sf{\underline{\underline{\red{p = \dfrac{ - 27}{2}}}}}}[/tex]

Hence, the value of p is -27/2

[tex]\begin{gathered}\end{gathered}[/tex]

Verification !!

[tex] \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}[/tex]

Substituting the value of (p = -27/2)

[tex] \implies{\sf{ \dfrac{ \dfrac{ - 27}{2} + 7}{ \dfrac{ - 27}{2} - 6} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ \dfrac{ - 27 + 14}{2}}{ \dfrac{ - 27 - 12}{2} } = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ \dfrac{ - 13}{2}}{ \dfrac{ - 39}{2} } = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ - 13}{2} \times \dfrac{2}{ - 39} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ - 13}{\cancel{2}} \times \dfrac{\cancel{2}}{ - 39} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ - 13}{ - 39} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \cancel{\dfrac{ - 13}{ - 39}} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{1}{3} = \dfrac{1}{3}}}[/tex]

[tex]\implies{\sf{\underline{\underline{\red{LHS = RHS}}}}}[/tex]

Hence Verified!

[tex]\underline{\rule{220pt}{3pt}}[/tex]

A bakery sells two kinds of baked goods: cookies and pie slices. A cookie costs 12 ani a pe sites $4. In one day, the store sold 34 baked goods for a total of $114. How many cookies die itey sele? How many pie slices did they sell? Write a system of equations and solve.​

Answers

Answer:

uhhhhhhhhhhhh what does this say?

15 POINTS AND BRANLIEST

Find the area of the figures below

Answers

[tex]Area = \frac{(6 + 10) \times 7}{2} \\ [/tex]

[tex]Area = \frac{16 \times 7}{2} \\ [/tex]

[tex]Area = \frac{2 \times 8 \times 7}{2} \\ [/tex]

[tex]Area = 8 \times 7[/tex]

[tex]Area = 56 \: \: {in}^{2} [/tex]

Answer:

Area: [tex]56in^2[/tex]

Step-by-step explanation:

The formula for the area of a trapezoid is:

[tex]A = \frac{a+b}{2}h[/tex]

so replacing with the given values we get:

[tex]a = 6in\\h = 7in\\b = 10in[/tex]

[tex]A = \frac{6in+10in}{2}7in = 56in^2[/tex]

So our final answer is [tex]56in^2[/tex]

How would I write 5.882 times 10 to the -7 power in standard from. Be sure to add the commas

Answers

Answer:

Step-by-eeeeeeeeestep explanation:

Answer:

0.0000005882

Step-by-step explanation:

So... 10 to the -7th power is 1 /10000000 or  0.00000001. When you multiply 5.882 by that, you get 0.0000005882 or if you round it, 0.00000089.

Hope this helps!

will give brainly if you help me thx

Answers

Answer:

A

Step-by-step explanation:

The answer is A because is it asking for a 3 in the hundredths place of the difference. Difference means subtraction. And you can find the hundredth spot in the second place over from the decimal

(ex. 1.23, hundredth place is a 3)

So then you do the math and find the differences.

14.56-9.33=5.23, which has a 3 in the hundredth place.

Identify the five-number summary of the following data se
7. 11. 21. 28, 32, 33, 37, 43

Answers

Minimum value = 12

Maximum value = 37

snumber of observations = 10 (even)

Median = Mean of middle most terms

Middle most terms = 22, 25

Median ={22+25}{2}=23.5222+25=23.5

Suppose that $ 700 is invested at 5.42% compounded continuously. How much is in the account after 18 years? Round your answer to the nearest cent. Write only a number as your answer. Do not write any units.

Answers

Answer:

Hello!

This word problem uses the common equation called; [tex]A=Pe^{rt}[/tex]

A = Pe^rt

P=700

e= e

r = 0.0542

t = 18

This is what you get when you plug in the according information.

700e^(0.0542*18)

700e^0.9756

=1856.9308

We need to put this into the nearest cent.

=1856.93

Have a great day!

I hope this helps you!

In class A, 17 students in a class of 25 passed an exam. In class B, 13 out of 20 passed. In class C, 7 out of 10 passed. Which class is the best class?

Answers

Answer:

class C

Step-by-step explanation:

a=(17/25)=0.68

b=(13/20)=0.65

c=(7/10)=0.7

I need help with this

Answers

Answer:

check online for more information

The perimeter of a square is 252 feet how long is each side
I’m not sure how to set up this problem

Answers

Answer:

63 feet

Step-by-step explanation:

perimeter is the sum of all four sides and, since it's a square then all sides are equal

to find how long each side is divide 252 by 4

252÷4 = 63

Answer:

It seems like you want to solve the question, so I'll not include the answer

Square has 4 sides and each sides are identical length so.

And Perimeter is just the total length of the sides of the shape. So...

Mathematically

Perimeter of square = 4s

where s is length of one side of square

Consider the circle centered at the origin and passing through the point (0, 2).

(a) Give the equation of the circle.

(b) For each point, decide whether or not it is on the circle. Is the point on the circle? (look at the image I attached)​

Answers

Answer:

x^2+y^2=4, yes, no, yes, no

Step-by-step explanation:

a) It's centered at the origin, which means that the equation is x^2+y^2=r^2, right? Then since point (0,2) is on the circle, its radius can be solved using Pythagoras theory, r=sqrt(0^2+2^2)=2, so the equation is x^2+y^2=4.

b) You plug the points into the equation and if the equation is true, they're on the circle. I'll give you an example of the first two.

([tex]\sqrt{3},1[/tex]): so x=[tex]\sqrt{3}[/tex], y=1. When you bring that into the equation you got in (a), it would be 3+1=4, which is true, which means that the point is on the circle.

(4,0): so x=4, y=0. When you bring that into the equation you got in (a), it would be 16+0=4, which is not true, which means the point isn't on the circle.

find the 99th term of the arithimic sequence 2, 5/2, 3, 7/2, ...

Answers

Answer:

99th term is 51

Step-by-step explanation:

Arithmetic sequence equation

a1= first term = 2

d= common difference = 0.5 or 1/2

2, 5/2 = 5/2 - 2 = 0.5 or 1/2

3 - 5/2 = 1/2

7/2 - 3 = 1/2

an = a1 + (n - 1)d

a99 = 2 + (99-1) 1/2

a99= 2 + 98 (1/2)

a99 = 2 + 49

a99 = 51

A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 500 bacteria that grow at a rate of 16% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours? Round your answer to the nearest whole number.

Answers

The population of the bacteria after 8 hours is 1639 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 500 bacteria, hence

a = 500

The bacteria grow at a rate of 16% per hour, hence:

b = 100% + 16% = 1.16

The exponential equation becomes:

y = 500(1.16)ˣ

After 8 hours:

y = 500(1.16)⁸ = 1639

The population of the bacteria after 8 hours is 1639 bacteria.

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Would 5/5x2 3/4 be less greater or equal to 2 3/4

Answers

Answer:

greater

Step-by-step explanation:

if you add them and do the multiplication it is greater

Answer:

It would be equal

Step-by-step explanation:

You first divide 5/5, which is equal to 1, multiply that by 2 to get 2.

After that, there is a 3/4 sitting around so you add 3/4 to 2.

Then you will see that both are equal.

find the mean of 98 100 100 100 100 100​

Answers

Answer:

the mean of this sequence of numbers is 99

Answer:

it is 99

Step-by-step explanation:

.872 to scientific notation

Answers

Answer:

8.72×10²

Step-by-step explanation:

8.72×10²=872

what is an equation of the line that passes through the points 0,-2and 0,-5​

Answers

Answer:

Any equation with a slope of 3 will work. You can use any y-intercept. This equation will work: y = 3x+1

Step-by-step-explanation:

3x says that the slope is 3, and on a coordinate plane, 2 is 3 places above 5, and since the slope is 3, it will go 3 spots up, and run into (0,2)

Simplify the expression.

−6−7

Answers

Answer:

-13

Step-by-step explanation:

subtract 7 from -6

Answer: -13

Step-by-step explanation: When you have two numbers with negative signs, you add them but you keep the negative sign.

Therefore, -6-7 = -13

For the future, know these rules for signs when adding, subtracting, dividing and multiplying:

When adding two negative numbers, you add but keep the negative sign like in the above problem.

When adding a positive and negative, you subtract but keep the sign of the highest number. Example: -4+9 = 5 or -11+3 = -8.

When multiplying two negatives or positives numbers, the answer will be positive. When multiplying negatives x positive = negative.

The same applies to division. (-)/(+) = (-) or (+)/(-) = (-)

                                                 (-)/(-) = (+)

Hope this explanation and rules help.

i need help with number 5

Answers

B : 3x-5

You can find this by solving the first equation for y, you do this by adding y and subtracting 5.

Hope this helps!!

The diner ordered 144 bagels. The order was for 80% plain 20% sesame bagels. An employee says that the diner should receive 43 sesame bagels. Explain whether the employee’s statement is sense (true) or nonsense (false).

Answers

Answer:

nonsense

Step-by-step explanation:

[tex]144\times0.2=28.8[/tex]

This employees statement is nonsense, as 43 sesame bagels is far more than the 29 they should expect when they order 20% of 144 bagels.

Answer:

it's nonsense. coz a person can't receive 43 sesame Bangles. it is not the actual number of sesame Bangles she should receive.

what is the slope of the line of (4,6) and (-16,-18)

Answers

Hi!

To solve this, we simply use the equation shown in the image below:

What this means is the change in y over the change in x.

We use the two points and plug them in the equation like so:

[tex]\frac{6 - - 18}{4--16} =\frac{6+18}{4+16} =\frac{24}{20} =\frac{6}{5}[/tex]

Therefore your answer is [tex]\frac{6}{5}[/tex].

Hope this helps! Have a fantastic day! :D

Let me know if you need any other help.

Inequality word problem
Step by step and explanation pls do the problem or report

Answers

Answer:

  34 hours or more

Step-by-step explanation:

If h is the number of hours Jack works, then his earnings will total 15h. He wants that to be at least 500. The appropriate inequality is ...

  15h ≥ 500

  h ≥ 33 1/3 . . . . . divide by 15

Jack needs to work 34 hours or more to earn at least $500.

When Abrams born his parent put $2000 in account that you did 1.2% interest compounded semi annually when he turns 16 in Spain to give him the money to buy a car how much will Abrams you receive on his 16th birthday

Answers

Answer:

$2421.95

Step-by-step explanation:

To calculate the final value from compound interest, we can use the formula

A = P(1+r/n)^(nt), where A represents the final amount, P is the initial amount, r is the rate, n is the number of times compounded per time period, and t is the amount of time.

Here, P is 2000, 1.2% is the rate (to convert to a decimal, we can divide by 100 to get 0.012), n = 2 because it is compounded semi-annually, and 16 is the number of years, or t. Plugging these in, we get

2000(1+0.012/2)^(2*16) = 2421.95

find measure of angle A

Answers

Ok done. Thank to me :>

Help help help help help help help help

Answers

Answer:

y=2

y=4

y=6

y=8

Step-by-step explanation:

please mark brainlist

Your friend says that the equations y - 9 = -5(x + 2) and y = -5x – 19 represent two different lines. Is your friend correct? Explain.​

Answers

Answer:

Step-by-step explanation:

The second equation is y = -5x - 19

The first equation needs a little work

y - 9 = -5(x + 2)                                         Remove the brackets

y - 9 = -5x - 10                                          Add 9 to both sides.

y = -5x -10 + 9                                          Combine

y = - 5x - 1

There are two lines there. They are parallel, but they never cross. The y intercepts are not equal and they don't lie on top of each other.

5. A spool of nbbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, how much remains on the spool? 26 fee 22 feet 20 feed 18 fed​

Answers

Answer:

It is 18 feet

Step-by-step explanation:

The remaining spoon of ribbon will be; 22 feet.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that a spool of ribbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, then

WE need to find the remaining spoon of ribbon after excluding the 2 yards of ribbon.

The remaining spool can be calculated by the difference;

24 feet of ribbon - 2 yards of ribbon

24 - 2 = 22

Therefore, the remaining spoon of ribbon will be; 22 feet.

To learn more about the unitary method, please visit the link given below;

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