(a) Calculate the value of 2/0.4^2

Answer:

Step-by-step explanation:

Answer: -0.5

-3.5 / 7 = -.5

The value is -1/2.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

-3.5 ÷ 7

This can be written as a fraction.

= -3.5/7

Remove the decimal point.

= -35/70

Divide both the numerator and denominator with 7.

= -5/10

Divide both the numerator and denominator with 5.

= -1/2

Thus,

The value is -1/2.

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Answer:

jahahahaahhsydsywuwks

Answer:

Slope=4 y-intercept=(0,-21) or -21

Step-by-step explanation:

To find slope

m=-13-(-17)/2-1

m=4/1

m=4

To find y-intercept

y-(-17)=4(x-1)

y+17=4(x-1)

y+17=4x-4

Subtract both sides by 17

y=4x-21

y-intercept=-21

Answer: 5[tex]\sqrt{3\\}[/tex]

Step-by-step explanation:

This triangle is a 30-60-90 triangle. This means that: x = 2a where a is the shorter leg of the triangle and x is the hypotenuse, and b = a[tex]\sqrt{3\\}[/tex] where b is the longer leg of the triangle.

Hypotenuse = 2 * the length of the shorter leg

Longer leg = [tex]\sqrt{3\\}[/tex] * the length of the shorter leg.

Since just visually speaking, y is the longer leg and 5 is the shorter leg, let's substitute y and 5 into the equation solving for the length of the longer side:

y = [tex]\sqrt{3\\}[/tex] * 5

y = 5[tex]\sqrt{3\\}[/tex]

Answer:

Perpendicular

slope Ab = undefined

slope Cd = 0

Step-by-step explanation:

slope AB = undefined, a vertical line has no slope

slope CD = 0 (a horizontal line has no slope)

Answer:

AB: Undefined

CD: 0

Perpendicular

Step-by-step explanation:

Slope is the change in y over the change in x

(sometimes called "rise over run")

Formula looks like this:

[tex]\frac{y_{2} -y_{1}}{x_{2} - x_{1} }[/tex]

First let's find the slope of AB

[tex]\frac{7-3}{-5 --5 }[/tex]

[tex]\frac{7-3}{-5 +5 }[/tex]

[tex]\frac{4}{0}[/tex]

Undefined

Then the slope of CD:

[tex]\frac{y_{2} -y_{1}}{x_{2} - x_{1} }[/tex]

[tex]\frac{9 -9}{-10 - 1 }[/tex]

[tex]\frac{0}{-11 }[/tex]

0

         If they are parallel they will have the same slope, perpendicular lines have negative reciprocals as the slope, and neither is neither

         Comparing the slope of our lines lead us to know that the two lines are perpendicular because AB is vertically up + down and CD is horizontally right + left

I hope this is correct and helps, have a nice day :D

                        See attached file for a photo example :)

Answer:

Step-by-step explanation:

Use the ratio of corresponding sides of similar triangles:

Digit 9 -1's place

Digit 4 - 100ths

Digit 8 - 10ths

Answer:

B. The digit 4 is in the tenths place

C. The digit 9 is in the thousandths place

D. The digit 8 is in the hundredths place

Step-by-step explanation:

A. The digit 9 is in the thousandths place

E. The digit 8 is in the hundredths place.

Hope it helped!

Answer:

[tex]3 \times 10 ^{ - 7} [/tex]

Answer:

1st event ratio is 7:4 2nd event is 7:5

Step-by-step explanation:

The ratios are not the same. During the 2nd event, FIVE people bought vanilla ice cream for ever 7 that bought chocolate. During the 1st event, FOUR people bought vanilla ice cream for every 7 that bought chocolate.

Answer:

[tex]27.82 \degree[/tex]

Step-by-step explanation:

To find the unknown angle use tan rule

[tex] \tan( \theta) = \frac{opposite}{adjacent} [/tex]

Let the unknown angle be x

[tex] \tan(x) = \frac{o}{a} \\ \tan(x) = \frac{19}{36} \\ \tan(x) = 0.5277 \\ x = \tan ^{ - 1} 0.5277 \\ x = 27.82 \degree[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Kayla is wrong because the calculation will give different amounts since one gave $13.77 while the other one was $13.50.

Taking 10% off and then 15% off will give a price that will be calculated thus:

= $18 - (10% × $18)

= $18 - $1.80

= $16.20

Taking 15% off will then be:

= $16.20 - (15% × $16.20)

= $16.20 - $2.43

= $13.77

Now taking 25% off directly firm $18.00 will give:

= $18.00 - (25% × $18.00)

= $18.00 - $4.50

= $13.50

Therefore, Kayla is wrong.

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The given angles are forming alternate interior pair, so :

hence, value of x = 8°

Answer:

km/hr to m/s = × 5/18

Step-by-step explanation:

320 ×5/18

=89m/s

Answer:

Yes, because each domain have only one range.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

There is no x in the equation, so I will assume solving for m

Distribute:

3m + 21 = 6m + 12

Subtract 3m and 12

3m = 9

Divide by 3

m = 3

Answer:

Step-by-step explanation:

It would be 120 because 4% of 125 is 5, so you subtract 5 from 125 to get 120. I am pretty sure that's how you do it.

Answer:

The answer would be 5

Step-by-step explanation:

Percentage decrease =

4% × 125 =

4 ÷ 100 × 125 =

4 × 125 ÷ 100 =

500 ÷ 100 =

5

Answer:

6/14

Step-by-step explanation:

divide the numerator and denominator by 3. 18 / 3 is 6 and 42 / 3 is 14. So your answer is 6/14.

Answer:

6/14

Step-by-step explanation:

Scaling the numerator and denominator means to multiply or divide both numbers by some number. "Scaling down" means to divide both the numerator and denominator by some value (in this case, 3). So you would have to divide the numerator by 3 and the denominator by 3.

18 / 3 = 6

42 / 3 = 14

So you would get the equivalent fraction 6/14 when you scale down the numerator and denominator by 3.

Answer:

-4/19 is the answer.

Step-by-step explanation:

Step-by-step explanation:

The distance between 2 points is calculated with this formula:

[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

• in the first exercise:

- the leftmost point has values (-5; 1), where -5 is the value of x1 and 1 is the value of y1

- the rightmost point has values (4; 0), where 4 is the value of x2 and 0 is the value of y2

then apply the formula:

[tex] \sqrt{(4 - ( - 5)) {}^{2} + (0 - 1) {}^{2} } [/tex]

[tex] \sqrt{(4 + 5) {}^{2} + (- 1) {}^{2} } [/tex]

[tex] \sqrt{81 + 1} [/tex]

[tex] \sqrt{82 } =9.05[/tex]

you can check if the result is correct by counting the distance of the points with the squares of the sheet (photo)

• in the second exercise:

- the highest point has values (-4; 2), where -4 is the value of x1 and 2 is the value of y1

- the lower point has values (-4; -4), where -4 is the value of x2 and -4 is the value of y2

then apply the formula:

[tex] \sqrt{( - 4 - ( - 4)) {}^{2} + ( - 4 - 2) {}^{2} } [/tex]

[tex] \sqrt{(0) {}^{2} + (36) } [/tex]

[tex] \sqrt{36} = 6[/tex]

Answer:

A) x = 7

Step-by-step explanation:

Step 1: Subtract 8 from both sides.

Therefore, the correct answer is A) x = 7.

Answer:

x=7

Step-by-step explanation:

x+8=15

x+8-8=15-8

x=7

Answer:

[tex]g = \frac{E}{5h}[/tex]

Step-by-step explanation:

To solve for g, given the equation: E = 5gh

Divide both sides by 5h:

[tex]\frac{E}{5h} = \frac{5gh}{5h}[/tex]

[tex]\frac{E}{5h} = g[/tex]

Answer:

E=5gh

E/5h=g

g=e/5h

Step-by-step explanation:

.......

Answer:

2.5*10^3... two point five times ten to the power of three

Step-by-step explanation:

Answer:

2.5 × [tex]10^{3}[/tex]

Step-by-step explanation:

I think that is the write answer.

Lmk what u got.

Answer:

Step-by-step explanation:

I=PRT

I=50000000000×5÷100×18

I= 5000000000×0.5×18

I=45,000,000,000

Answer:

yes yes ok you need help mr

Step-by-step explanation:

i)   [tex]\sf 3,25 =\dfrac{13}{4} \\\\ Then :\\\\ 1 \ cans -\$3,25 \\\\8 \ cans -\$\ x \\\\ x=\dfrac{13}{4} \cdot 8=\$26 \Rightarrow yes \\\\ \rm \boldsymbol { \rm Answer: \ 8 \ cans \ of \ energy \ \ costs \ \exactly \ 26\$}[/tex]