What’s the difference between (-2.23) - (-97.2)?

Answer:

15.8

Step-by-step explanation:

Rounding to the nearest tenths means we are focusing on the number 7 and the number after it- 5. Because it is a 5, we will round the number 7, one higher. If it were to be a 4, it would stay a 7.

Answer:

15.8 is the Answer

Step-by-step explanation:

1) 5 in the hundreds place will be turn to 6 due to the fact that in can round up because a 5 is in the thousandth place.

2) Since 6 is 5 and greater than 5 it will round up 7 in the tenths place to 8.

hopes this helps.

Answer:

64

Step-by-step explanation:

20 + 20=40

12 +12 = 24

24+40=64

Answer:

Perimeter = 64ft

Step-by-step explanation:

Perimeter is the sum of the sides i.e.  length and width

Perimeter = 20+20+12+12 = 64

Answer:

11.  ×8; ×27; ÷8

12. ÷16; ÷256; ×16

13. ×8

14. ×4

Step-by-step explanation:

11. g(x) =5x³

g₁ = 5x₁³

g₂ = 5x₂³

g₂/g₁ = (x₂/x₁)³

a. x is doubled. g₂/g₁ = (2x₁/x₁)³ = 2³ = 8

If x is doubled, g is multiplied by eight.

b. If x is tripled, g₂/g₁ = (3x₁/x₁)³ = 3³ = 27

If x is tripled, g is multiplied by 27.

c. If x is halved, g₂/g₁ = (½x₁/x₁)³ = (½)³ = ⅛

If x is halved, g is divided by 8.

12. ƒ(x) = 3/x⁴

f₁ = 1/x₁⁴

f₂ = 1/x₂⁴

f₂/f₁ = (x₁/x₂)⁴

a. x is doubled. f₂/f₁ = (x₁/2x₁)⁴ = (½)⁴ = 1/16

If x is doubled, f is divided by 16.

b. If x is quadrupled, f₂/f₁ = (x₁/4x₁)⁴= (¼)⁴ = 1/256

If x is tripled, f is divided by 256.

c. If x is halved, f₂/f₁ = [x₁/(½x₁)]⁴ = 2⁴ = 16

If x is halved, f is multiplied by 16.

13. V = ⁴/₃πr³

V₁ = ⁴/₃πr₁³

V₂ = ⁴/₃πr₂³

V₂/V₁ = (r₂/r₁)³

r is doubled. V₂/V₁ = (2r₁/r₁)³ = 2³ = 8

The volume of the sphere is multiplied by 8.

14. V = πr²h

V₁ = πr₁²h

V₂ = πr₂²h

If r is doubled and h stays the same, V₂/V₁ = (2r₁/r₁)² = 2² = 4

The volume of the cylinder is quadrupled.

[tex] {x}^{3} + 7 {x}^{2} + 10x \\ = x( {x}^{2} + 7x + 10) \\ = x( {x}^{2} + 5x + 2x + 10) \\ = x(x + 5)(x + 2)[/tex]

your answer is x(x+2)(x+5)

x3+7x2+10x

x3+7x2+10x

=x(x+2)(x+5)

Answer:

[tex]\large\boxed{(a+b)(a^2+ab+b^2)=a^3+2a^2b+2ab^2+b^3}[/tex]

Step-by-step explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

[tex](a+b)(a^2+ab+b^2)\\\\=(a)(a^2)+(a)(ab)+(a)(b^2)+(b)(a^2)+(b)(ab)+(b)(b^2)\\\\=a^3+a^2b+ab^2+a^2b+ab^2+b^3\qquad\text{combine like terms}\\\\=a^3+(a^2b+a^2b)+(ab^2+ab^2)+b^3\\\\=a^3+2a^2b+2ab^2+b^3[/tex]

In a distribution, if the data is skewed left, the mean is less than the median; if skewed right, the mode is often less than the median, which is less than the mean.

In a distribution, if the data is skewed to the left, the mean is less than the median, which is often less than the mode. On the other hand, if the data is skewed to the right, the mode is often less than the median, which is less than the mean. Therefore, the most likely statement to be true for this distribution is B. The mean is less than the median.

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The statement that  is most likely to be true for this distribution is The mean is greater than the median.

This distribution is "bunched up" at the left and has a larger tail to the right, indicating that it is right skewed. The median will be nearer the left side of the graph in a right-skewed distribution since most of the data points are at the smaller end.

The mean will rise and become greater than the median due to the increased numbers in the "tail". A positively skewed distribution, also known as a right-skewed distribution in statistics, is one in which the majority of values are concentrated at the left tail of the distribution while the right tail is longer. The distribution that is negatively skewed is directly opposed by the positively skewed distribution.

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Answer:

16 to 20 spells

Step-by-step explanation:

4 to 5 spells and you find how much you need to multiply it by and in this case it is 4. Take the 4 and multiply it to 5 and 4 and you will get your answer.

Answer:

25

Step-by-step explanation:

Luna casts 4/5 of the amount of spells that Ginny casts (busy witches), so you take 1/4 of 20 and add it to 20. In other words, add 20 + 5

The answer would be Loan A

even though she'll pay more per month, with the others she'll pay be paying more by the time she as payed it off due to having to pay interest over a longer period of time

Answer:

Step-by-step explanation:

The different loan plans are showed in the image attached.

Loan A: 12 months of duration with 9.50%.

Loan B: 24 months of duration with 8.75%.

Loan C: 36 months of duration with 7.75%.

Loan D: 48 months of duration with 6.60%.

Now, all loans are compouneded monthly. Let's the compound interest formula

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Loan A:

[tex]A=2500(1+\frac{0.095}{12} )^{12(1)}\\A=2,748.12[/tex]

Loan B:

[tex]A=2500(1+\frac{0.095}{24} )^{24(2)} \\A=2500(1.004)^{48}\\ A=3,028.02[/tex]

Loan C:

[tex]A=2500(1+\frac{0.095}{36} )^{36(3)} \\A=2500(1.003)^{108}\\ A=3,454.94[/tex]

Loan D:

[tex]A=2500(1+\frac{0.095}{48} )^{48(4)}\\ A=2500(1.002)^{192}\\ A=3,668.95[/tex]

Now, if you compare, you will observe that Loan A offer the cheapest result for Judy.

Therefore, Judy should use the Loan A plan.

-7 and 5. The product would be -35 and the sum -2.

Hope this helps

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❖ 9% of 600 = 54

9/100 * 600 = 54

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

9% out of 500

0.09* 500 = 45

45

The answer is 2. The rate of change between -1 and 0 is 3 and between 0 and -1 is 1. The average between 3 and 1 is 2.

Answer:

- 2

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ - 1, 1 ]

f(b) = f(1) = 1 - 2 = - 1

f(a) = f(- 1) = 1 + 2 = 3

Hence

average rate of change = [tex]\frac{-1-3}{1-(-1)}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

Answer:

K'= (-2, 4)

Step-by-step explanation:

First we are going to rotate our point 270° counterclockwise.

The rule for a 270° counterclockwise rotation is [tex](x,y)-->(y,-x)[/tex], which means that we just need to interchange the coordinates of the point and change the sign of the x-coordinate:

[tex](x,y)-->(y,-x)[/tex]

[tex](-7,-2)-->(-2,-7)[/tex]

[tex](-7,-2)-->(-2,-(-7))[/tex]

[tex](-7,-2)-->(-2,7)[/tex]

Now, to shift the point 3 units down, we just need to subtract 3 units from the new y-coordinate of our resulting point form the previous procedure:

[tex](x,y)-->(x,y-3)[/tex]

[tex](-2,7)-->(-2,7-3)[/tex]

[tex](-2,7)-->(-2,4)[/tex]

We can conclude that the coordinates of K' are (-2, 4)

Answer:

-2,4

Step-by-step explanation:

i did it

hope i could helpp!!!!

===================================================

Explanation:

The area of the parallelogram is equal to the base times height. The formula to use is A = b*h. The height and base are always perpendicular to one another.

The base is some unknown variable b. Multiply the base by the height 15 to get 15*b which is equal to the area 135

Therefore, 15*b = 135

Divide both sides by 15 and we isolate b

15b = 135

15b/15 = 135/15

b = 9

So the base is 9

Check:

area = base*height = 9*15 = 135

so the answer is confirmed

side note: we never use the value 17 at all. It is likely put in there as a distraction.

Answer:

9

Step-by-step explanation:

Khan Academy

22.26 x 10^7 is the correct answer

Multiply the decimal numbers:

5.3 x 4.2 = 22.26

When multiplying scientific numbers, add the exponents together: 4+3 = 7

So you now have 22.26 x 10^7

Now you need to convert 22.26 to a scientific number, by only having one number to the left of the decimal point.

You need to move the decimal 1 place to the left, which means you need to add 1 more to the exponent.

The final answer would be 2.226 x 10^8

Answer:

0.35 cents

Step-by-step explanation:

7.50-2.95= 4.55

4.55 / 13 bagels = 0.35

Answer:

It's True 36/9=4

4*3=12

Answer: 12

Step-by-step explanation:36 divided by 9=4

4 times 3 is 12

Answer:

See below...

Step-by-step explanation:

Theoretical probability is the probability that something should happen based on the beginning conditions.  Such as having a jar of 30 marbles with 5 being blue.  The probability of pulling out a blue marble when selecting 1 marble is

5/30, or 1/6.  Theoretically you should pull one blue marble out every 6 times you pull a marble out.  

This isn't guaranteed to happen though, that's where experimental probability comes form.

Experimental probability is the number of desired outcomes achieved, divided by the total number of outcomes.  This is based on what actually happened.  Say you selected a marble, and put it back 10 times, recording the color each time and you got 2 blue marbles.  Your experimental probability is

2/10, or 1/5, which doesn't match the theoretical probability.  The more times this experiment is conducted, the closer your result will be to the theoretical probability

Answer:

1.20 + 1.40x ≥ 5, or $1.20 + $1.40x ≥ $5

Step-by-step explanation:

So since you are only buying 1 soda and you are buying multiple bags of Cheetos so you are able to use you debit card and meet the requirement of at least $5, you can make the inequality:

1.20 + 1.40x ≥ 5, or $1.20 + $1.40x ≥ $5

where x is the number of bags of Cheetos.

For this case we have that the law of cosine is given by:

[tex]c ^ 2 = a ^ 2 + b ^ 2-2 (a) (b) * cos (x)[/tex]

Where:

[tex]c = 12 \ ft\\a = 8 \ ft\\b = 9 \ ft[/tex]

We replace:

[tex]12 ^ 2 = 8 ^ 2 + 9 ^ 2-2 (8) (9) * cos (x)\\144 = 64 + 81-144 * cos (x)\\144 = 145-144 * cos (x)\\-1 = -144cos (x)\\cos (x) = \frac {1} {144}\\x = cos ^ {- 1} (\frac {1} {144})\\x = 89.60 \ degrees[/tex]

Answer:

Option B

Answer:

B

Step-by-step explanation:

g(x) - h(x)

= 5x² - 10x + 9 - ( - 3x³ + 5x - 6) ← distribute parenthesis by - 1

= 5x² - 10x + 9 + 3x³ - 5x + 6 ← collect like terms

= 3x³ + 5x² - 15x + 15 → B

Since the scuba diver jumps into the water and decreases his altitude by 5.6 meters in one minute, the equation that can be used to represent the divers altitude is [tex]y = -5x + 1.3[/tex]

The standard equation is [tex]y = mx + b[/tex]

y,x = variables

m = rate of change

b = initial value of y.

y = the height of the scuba driver after x minutes.

Given that b = 1.3

m = -5.6(decrease in altitude)

Then the equation can be written as ; [tex]y = -5x + 1.3[/tex]

hence scuba driver height is given by the equation [tex]y = -5x + 1.3[/tex]

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missing options;

A.

1.3 + 5.6

= 6.9

B.

-1.3 + 5.6

= 4.3

>

O

C. 1.3+(-5.6) = – 4.3

>

O

D. -1.3+(-5.6) = -6.9

The equation that represents the scuba diver's altitude after jumping into the water is y = 1.3 - 5.6t, where y is in meters and t is in minutes.

Let y represent the diver's altitude in meters relative to sea level after t minutes. Initially, at sea level, we have y(0) = 1.3. Due to the descent in water, the altitude decreases by 5.6 meters per minute, which means the altitude change per minute can be represented by
-5.6t. Thus, the equation that can be used to represent the diver's altitude as a function of time is:

y = 1.3 - 5.6t

where y is in meters and t is in minutes.

ANSWER

A

[tex]( - \infty , + \infty )

[/tex]

EXPLANATION.

The given function is

[tex]f(x) = 2 {x}^{3} + 21[/tex]

Let

[tex]y= 2 {x}^{3} + 21[/tex]

Solve for x.

[tex]2 {x}^{3} = y - 21[/tex]

[tex] {x}^{3} = \frac{1}{2} y - \frac{21}{2} [/tex]

Take cubic root of both sides,

[tex]x = \sqrt[3]{ \frac{1}{2} y - \frac{21}{2} } [/tex]

x is defined for all real values of y.

The range refers to the values of y, for which x is defined.

Hence the range is all real numbers.

In interval notation, we write this as,

[tex]( - \infty , + \infty )

[/tex]

The correct choice is A.

Answer:

Yes it’s A

Step-by-step explanation:

Answer:

Total points were 110.

Step-by-step explanation:

90/100*x=99

9/10*x=99

=x=99*10/9

=x=11*10

=110

Answer:

I think it is 145.20

Step-by-step explanation:

I did 22.45x6=134.70+10.50=145.20

Answer:

$145.04

Step-by-step explanation:

$22.45 * 6 + $10.50 = $145.04

Answer:

2.618 in Degrees Celsius is 36.7124 Degrees Fahrenheit. 2.618 in Degrees Fahrenheit is -16.323333 Degrees Celsius.

Answer:

Step-by-step explanation:

45/3=15

15" of snow melts each day, so after day 1 30" of snow will remain, after day 2 15" will remain and after day 3 all snow will be gone.

Final answer:

This story problem involves calculating the sales and remaining stock of 40 apples and 17 pears at Ms. Adams' farmer's market stand, applying basic arithmetic operations in a real-life scenario.

Explanation:

Imagine a local farmer's market where Ms. Adams has a stand selling fruits. This particular Saturday, she starts with 40 apples and 17 pears. Throughout the day, customers buy apples and pears at different rates. By midday, half of the apples were sold. An hour later, five customers each bought 2 pears. By the end of the day, Ms. Adams noticed she sold twice as many apples as pears.

Your task is to use this story to calculate:

This problem helps students practice basic subtraction, division, and multiplication within a real-world context, applying arithmetic operations to solve a practical problem.

The average distance from the sun to Mars can be found by setting up an equation based on the given information. Subtracting 550 from the average distance to Jupiter gives the average distance to Mars, which is 228 million km.

We know that the average distance from the sun to Jupiter is 778 million km, which is 550 million km more than the distance from the sun to Mars. We could express it in the form of an equation and solve to find the average distance that Mars is from the sun. Let's denote that Mars is 'x' million km from the sun. Then we can write it as:

x + 550 = 778

To find x, we need to subtract 550 from both sides of the equation, which gives us:

x = 778 - 550

And so, the distance from the sun to Mars is x = 228 million km.

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Answer:

The answer is

g(x) = (x-3)^3

Step-by-step explanation:

We can easily solve this problem by plotting each equation with a graphing tool or calculator.

Please see attached graph

The correct answer is

g(x) = (x-3)^3