Calculate.

[tex]\sqrt{(-4.5)^{4}}[/tex]

Answer:

3^15/5^16

Step-by-step explanation:

(3^3 x 3^6 x 5^-4) / (3^-6 x 5^12)

= (3^3 x 3^6 x 3^6) / (5^12 x 5^4)

= 3^15 / 5^16

Answer:

6

Step-by-step explanation:

x^2 + 4 ÷ 2

-2^2 + 4 ÷ 2

4 + 4 ÷ 2

4 + 2

6

Answer:

18

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the number is higher then 5 it goes over to the tenth

Answer:

-45.4545454545 *45 repeating*

Step-by-step explanation:

Answer:

-45.45454...

Step-by-step explanation:

Answer:

t = 5

Step-by-step explanation:

Given r varies directly as t³ then the equation relating them is

r = kt³ ← k is the constant of variation

To find k use the condition r = 54 when t = 3 , then

54 = k × 3³ = 27k ( divide both sides by 27 )

2 = k

r = 2t³ ← equation of variation

When r = 250 , then

250 = 2t³ ( divide both sides by 2 )

125 = t³ ( take cube root of both sides )

[tex]\sqrt[3]{125}[/tex] = t , that is

t = 5

Answer:

A

Step-by-step explanation:

The area (A) of the triangle is the product of its length (l) and width (w). A = l x w. Since the width is 2 m shorter than the length, it may be expressed as w = l -2. The equation for area becomes,

                         A = l x (l - 2)

Substituting the known area and rearranging the equation gives,

                          l(l - 2) = 168.

Answer:

A

Step-by-step explanation:

Let length be "l"

width = l-2 m

Area of rectangle = length * width

so l(l-2) = 168

P.S: L= 14 cm

Answer:

Step-by-step explanation:

Given:

Find the following:

Correct choice is B

f(3+h):-

[tex]\\ \sf\longmapsto f(3+h)[/tex]

[tex]\\ \sf\longmapsto 3(3+h)-2[/tex]

[tex]\\ \sf\longmapsto 3h+9-2[/tex]

[tex]\\ \sf\longmapsto 3h+7[/tex]

f(3):-

[tex]\\ \sf\longmapsto 3(3)-2[/tex]

[tex]\\ \sf\longmapsto 9-2[/tex]

[tex]\\ \sf\longmapsto 7[/tex]

Now

[tex]\\ \sf\longmapsto \dfrac{f(3+h)-f(3)}{h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3h+7-7}{h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3h}{h}[/tex]

[tex]\\ \sf\longmapsto 3[/tex]

Answer:

56

Step-by-step explanation:

1.  8.25

2.  Savannah

3.  

Earnings of Savannah:   $190

Earnings of Greg:   $180

Earnings of Kevin:   $165

4.  26 Hours

5.  55.55 hours (or 56 hours)

Answer:

y as well will increase as x value increases bc x is a whole number and y intercept is positive 4

It is found that as the x value increases then the y value will also increase.

An equation represents the equality of two or more mathematical expressions. When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold for those values). Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We have been given the equation as y = x² + 4

when the value of x is 0 then the value of y will be;

y = x² + 4

y = 0 + 4

y = 4

when the value of x is 1 then the value of y will be;

y = 1² + 4

y = 1 + 4

y = 5

Also when the value of x is 2 then the value of y will be;

y = 2² + 4

y = 4 + 4

y = 8

Thus we can conclude that as the x value increases then the y value will also increase.

Learn more about solving equations here:

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#SPJ2

Step-by-step explanation:

6) (2x+1) + (x+15) + x = 180

x = 41

So (2x+1) = 83 is the largest one

7) a) x + x+2 + 38 = 180

x=70

b) m<70

c) m<72

8) 9x = 180

x = 20

X =20

H= 40

E = 80

Answer:

H0 : population proportion are equal

H1: population proportion are not equal

0.4779 > 0.05

Step-by-step explanation:

Answer:

your answer is 4+3

Step-by-step explanation:

Answer:

3x19+14x9

183

Step-by-step explanation:

Answer:

352/7  is answer

Step-by-step explanation:

Answer:

a) 3.50x + 1.75y=21 b) 6 c) 12 d) yes e) no

Step-by-step explanation:

A) you take the cost of the beads and add a variable the cost is per pound and you don't know how many pounds there are.

B) 3.50x = 21 you divide 3.50 on both side to get the variable alone and get how much pounds George gets.(blue beads)

C) 1.75y = 21 it is the exact process as the last but with the red beads instead

D) you take the equation you got and sub in the 4's in for the variables and you get 21

E) You do the same thing that was done in D (make sure you look at what they lbel it so you don't numbers in the wrong spot.)

Answer:

10/5 - 4

Step-by-step explanation:

you have to write down what you understand from the sentence.

First, you read it carefully since it says quotient then you will have to put that first and then subtraction. Normally you would put subtraction in front because the sentence is in that order. But since your dealing with division then the subtraction part would go afer.

10/5 - 4

Answer: uhh i think both are correct since the order of operation states that you must do division over subtraction first, it doesn't matter which position 4 is in, but you must do the division first.

Answer:

60

Step-by-step explanation:

A cheerful teen willing to help,

who listens to "Queen of Mean,"

stay positive,

stay salty.

Answer:

answer is 4/5

Answer:

Step-by-step explanation:

(4.83)² × 6√0.276 / 3.27 =

23.3289 × 6(0.5254) / 3.27 =    (rounded)

22.49 (rounded)

Answer:

You'd get 25.3333 or you could also express 76/3 as a mixed fraction: 25 1/3.

                         ↑  

                  the arrow pointing shows what the remainder means

remainder is the one which is down

If the mean score is 55% and the s.d. is 15%, then a test score of at least

55% + 1.5 × 15% = 77.5%

falls in the A range.

The next cutoff score is 0.5 s.d. from the mean, which is

55% + 0.5 × 15% = 62.5%

so any test score between 62.5% and 77.5% is in the B range.

The next cutoff is

55% - 0.5 × 15% = 47.5%

so a score between 47.5% and 62.5% gets a C.

The lower limit of the next range is

55% - 1.5 × 15% = 32.5%

so 32.5% - 47.5% gets a D.

Anything lower than 32.5% is an F.

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

6/16

Step-by-step explanation:

there are 6 chances for it to be a double success out of a total 16 tries

Answer:

the location of Y is 9.5

Step-by-step explanation:

-7+26 = 19

19/2 = 9.5

Step-by-step explanation:

Y = (Z + X) ÷ 2

Y = (26 + (-7) ) ÷ 2

Y = 19 ÷ 2

Y = 9,5

Location of Y = 9,5

Sorry if its wrong ^.^

Answer:

(A) True. False. True.

(B) 4

Step-by-step explanation:

Answer:

Rate of change problem:

theres 2 ways but it’s a basically the same thing, if you do these questions enough you’d know right away to find the unit rate of gallon of gasoline To price.

So you can divide.

10 gallons, 23 dollars

23 ÷ 10 = $2.30

$2.30 per gallon of gasoline.

Now we multiply by 15 to find how much will 15 gallons will cost.

2.3*15= $34.5

or you can do it proportionally, this is if you would want to show your work more clearly or just started doing these problems.

So we can make x unknown price.

So we know its 10 gallons for 23 dollars

we want to know how much it would be for 15 gallons

So we can do it like gallon/ price = gallon/ price

ex:

10/23 = 15/x

Make sure it’s lined up correctly

Now just cross multiply and solve for this proportion

10x= 345

now solve

x= 34.5

same answer

Answer:

Step-by-step explanation:

Use Pythagorean to find the distance through the field:

Difference between two options:

Answer:

It is faster to walk through the field and directly to Ah Chong's house.

The difference between the distance via the road and through the field is 26 m.

Step-by-step explanation:

The scenario can be modeled as a right triangle (see attached diagram).

⇒ Total distance = 195 + 28 = 223 m

To calculate this distance (hypotenuse of the right triangle), use Pythagoras Theorem.

Pythagoras Theorem

[tex]a^2+b^2=c^2[/tex]

where:

[tex]\implies 195^2+28^2=c^2[/tex]

[tex]\implies c^2=38025+784[/tex]

[tex]\implies c^2=38809[/tex]

[tex]\implies c=\sqrt{38809}[/tex]

[tex]\implies c=197[/tex]

Therefore, the distance for option 2 is 197 m.

Option 1 - Option 2 = 223 - 197 = 26 m

As 197 < 223, it is faster for Rahmat to walk through the field and directly to Ah Chong's house (option 2).

Learn more about Pythagoras Theorem here:

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