What type of relationship does there appear to be between price of gas and number of hybrid cars sold?

A) no relationship
B) quadratic relationship
C) exponential relationship
D) positive linear relationship

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

[tex]y = 11 + x[/tex]

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

[tex]y^2 = x^2 + x^2[/tex]

[tex]y^2 = 2x^2[/tex]

This gives:

[tex](11+x)^2 = 2x^2[/tex]

Open bracket

[tex]121 + 22x + x^2= 2x^2[/tex]

Collect like terms

[tex]2x^2 - x^2 -22x - 121 = 0[/tex]

[tex]x^2 -22x - 121 = 0[/tex]

Using quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{968}}{2*1}[/tex]

[tex]x = \frac{22\±31.11}{2}[/tex]

Split

[tex]x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\[/tex]

[tex]x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}[/tex]

x can not be negative.

So:

[tex]x = \frac{53.11}{2}[/tex]

[tex]x = 26.56[/tex]

Recall that:

[tex]y = 11 + x[/tex]

[tex]y = 11 + 26.56[/tex]

[tex]y = 37.56[/tex]

Hence, the dimensions are:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Answer:

26

Step-by-step explanation:

10+(10x3)-2(10-3)=

10+30+-2(7)=

40-14=

26

Answer:

this is not a complete question cause u did not give full numbers

Step-by-step explanation:

not trying to steal points can u finish the question

Answer:

$248

Step-by-step explanation:

given:

4 deposits

$62

solve:

4 × $62= $248

Answer:

$248

Step-by-step explanation:

You can answer it two ways:

1) add 62 + 62 + 62 + 62 = 248

2) multiply 4 * 62 = 248

Answer: $248

Answer:

Step-by-step explanation:

A

Answer:

a, 1,<Z b, 1,zy c,XZY

2,<Y 2, zx

3, <X 3, xy

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Answer: 13 miles

Step-by-step explanation:

30 min plue 30 min is 1 hour

if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2/125

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

16/1,000

Understanding place values:

The first 0 before the decimal point in 0.016 represents ones, the 0 after the decimal point represents tenths, the 1 represents hundredths and the 6 represents thousandths. We use 1,000 in our fraction because of the place value.

Step-by-step explanation:

1. Convert 0.016 into a fraction:

   0.016 = 16/1,000

2. Simpilfy the fraction 16/1,000:

   16/1,000 ÷ 8 = 2/125

2/125 is equivalent to 0.016

Side Note: Step 2. is only for people looking for the simplified answer!

            ~Hope this helps!

           ~Hocus Pocus

Answer: A

Step-by-step explanation:

c - 12 > -16

c > -4

A

Answer:

The probability of getting 1,2 and 3 after rolling once , second and thrice is

1/6

Step-by-step explanation:

These are all independent events.

The sample space = [1,2,3,4,5,6]

A die has 6 sides

1. If this die is thrown once, the probability of getting a 1 is = 1/6

2. If we roll the dice a second time, the probability of getting a 2 is independent from the first time it was rolled, so the sample space remains the same. The probability is also 1/6

3. If we rolled a 3rd time the probability remains 1/6 also

Answer:

Im sorry never did this before

Answer: 9

Step-by-step explanation:

Given

The dimension of a rectangular prism is

[tex]L=2\ in[/tex]

[tex]W=112\ in.[/tex]

[tex]h=114\ in.[/tex]

Volume of Prism [tex]V=L\times W\times h[/tex]

[tex]\Rightarrow V=2\times 112\times 114=25,536\ in.^3[/tex]

The volume of the unit cube

[tex]\Rightarrow V_c=14\times 14\times 14=2744\ in.^3[/tex]

Suppose there are n unit cubes to fit in a rectangular prism

[tex]\Rightarrow n=\dfrac{V}{V_c}=\dfrac{25,536}{2744}=9.306\approx 9[/tex]

The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.

The formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:

B = T/39

This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Answer:

80 and 90

Step-by-step explanation:

Answer:7

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

lower quartile is the median of 11, 12, and 16

Answer:

It's actually B

Step-by-step explanation:

The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B

Answer:

The vertices are A, B, and C. Angle C measures 105°.

Step-by-step explanation:

vertices are the corners of a shape. All the angles of a triangle add up to 180°. congruent just means that two shapes are the same.

Answer:

Third choice

Step-by-step explanation:

Let's see, let's write the numbers in order.

-6,-2,1,1,4,4,14

So we can see that yes, indeed, it could be either -6 or 14.

We can also rule out the first choice and the last choice, because they lack in common sense. -6, being lesser, would not raise the mean, it would lower it. 14, being the greatest, would not lower the mean, it would raise it.

Now let's put our numbers through trial. Find the mean of the whole set.

-6+-2+1+1+4+4+14 = 16

16/7

16/7 is approximately 2.3. We round to the nearest tenth because the numbers in the answers (1.9) are rounded to the nearest tenth.

Now we will exclude 14 to see how much it changes.

-6+-2+1+1+4+4 = 2

2/6 = 1/3

1/3 is approximately 0.3. We can see that the mean has decreased by around 2 just from removing the 14.

Now let's exclude -6 and see how much it changes.

-2+1+1+4+4+14 = 22

22/6 is approximately 3.7. We can see that the mean has increased by around  1.4.

Both the second and the third choice are plausible, but we are looking for the outlier, meaning the one that is further away from the rest of the numbers. The mean decreased by around 2 (which is near 1.9) when 14 is removed, which is greater than 1.4 (or 1), so we can assume that the third choice is the answer.

We can also back this up by finding how much each number is close to the mean. -6 is closer to 2.3 than 14, because if you add 6 to 2.3 (to get the distance between them), it is 8.3, while if you subtract 14 by 2.3, you get 11.7, which is greater than 8.3

Another way to double check this is to see how far away the numbers are from the rest of the numbers. This is not a very accurate way, but it can be useful in double checking. -6 and -2 are only 4 units apart, while 4 and 14 are 10 units apart. 10>4, naturally.

Answer:

The answer is D

Answer:

D. 216 cm

Step-by-step explanation:  

1. I assume 14 is a 22 is b and 12 is h

2. Trapezoid Area Formula

[tex]A = \frac{1}{2}(a+b)h[/tex]

3. Plug in numbers

[tex]A = \frac{1}{2}(14+22)12[/tex]

[tex]216 = \frac{1}{2}(14+22)12[/tex]

Step-by-step explanation:

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

Cutt/ly.627929

Answer:

307.5

Explanation:

First 65 x 10.50 then 990-682.5

Answer:

26

Step-by-step explanation:

(21+31+36+28+26+x)/6=28

21+31+36+28+26+x= 28×6

142+x =168

x=168-142

x=26

Answer:

(9, 57/7)

Step-by-step explanation:

Given the coordinates A(5 , 5)  and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;

P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}

X = ax1+bx2/a+b

Substitute the given values

X = 5(5)+2(19)/5+2

X = 25+38/7

X = 63/7

X = 9

Similarly;

Y = 5(5)+2(16)/5+2

Y = 25+32/7

Y = 57/7

Hence the coordinate of point P is (9, 57/7)

Answer:

Step-by-step explanation:

Mrs smith and i went to the shop to creme eggs at 23p each & kinder eggs at 47 peach in bulk. We bought 141 eggs altogether & it came to 48.51 how many creme eggs did we buy ?