The swimming pool is open when the high temperature is higher than 20^\circ\text{C}20∘C20, degrees, start text, C, end text. Lainey tried to swim on Monday and Thursday (which was 333 days later). The pool was open on Monday, but it was closed on Thursday. The high temperature was 30^\circ\text{C}30∘C30, degrees, start text, C, end text on Monday, but decreased at a constant rate in the next 333 days.

Answer:

17) Congruent because two sides are congruent and so is the 90 degree vertical angle.

18) Congruent because they have a congruent leg and congruent angle, and they share a side which is congruent to itself. (SAS)

19) Congruent because all three sides are congruent (SSS)

20) congruent, all three sides are the same (SSS)

Answer:

y=2x-9

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

whatever was done to y needs to be done to  x.

in this case (y) was 2x so you need to 2x (x) making 4 into 8

Answer:

The complete and simplified answer to the question what is 6/8 of 5 is:  

3 3/4

Step-by-step explanation:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator: 5/1

So now that we've converted 5 into a fraction, to work out the answer, we put the fraction 6/8 side by side with our new fraction, 5/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

6 x 5/ 8 x 1  =  30 /8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 8 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

30/2 = 15

8/2 = 4

When we put that together, we can see that our complete answer is:  

15/ 4

If you now simplifiy the COMPLETE anwser is:

3 3/4

By the binomial theorem,

[tex]\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}[/tex]

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that

12 - 3k = 0   ===>   3k = 12   ===>   k = 4

which corresponds to the constant coefficient

[tex]\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}[/tex]

Answer:

71.62

Step-by-step explanation:

2 liters = 2(33.81) ounces or 67.62 oz

4 more ounces were added

new total is 71.62 oz

Answer: c) -1/6, check picture below

Step-by-step explanation:

Answer:

19.25 ft

Step-by-step explanation:

for every one cm the actual car is 2.5 feet. therfore it would be 7.7 times 2.5 which equals 19.25

Answer:

If x = -3,

then y might equal -6

If y = -20,

then x might equal -13

Step-by-step explanation:

I have used a graph to estimate these answers. See image. If you are learning how to find the line of best fit for a data set, you might be expected to do those calculations, depending on the level of your math class. Many upper level math classes would use technology to find a line of best fit.

See image to see the data set given on an xy-axis in red. The circled areas are where the estimated numbers would lie, where

x = -3 (in blue) and where

y = -20 (in green)

The directions say estimate, so a graph is a good justification for several answers in the general area.

Step-by-step explanation:

remember, the general formula to solve a quadratic equation ax² + bx + c = 0 is

x = (-b ± sqrt(b² - 4ac))/(2a)

a)

I think there is a typo, and this should be

5x² - 7x = 72

5x² -7x - 72 = 0

x = (7 ± sqrt(49 - -1440))/10 = (7 ± sqrt(1489))/10

x1 = (7 + sqrt(1489))/10

x2 = (7 - sqrt(1489))/10

b)

x(x + 2) = 5

x² + 2x - 5 = 0

x = (-2 ± sqrt(4 - -20))/2 = (-2 ± sqrt(24))/2 =

= (-2 ± sqrt(4×6))/2 = (-2 ± 2×sqrt(6))/2 =

= -1 ± sqrt(6)

x1 = -1 + sqrt(6)

x2 = -1 - sqrt(6)

c)

3x² + 2x - 4 = 0

x = (-2 ± sqrt(4 - -48))/6 = (-2 ± sqrt(52))/6 =

= (-2 ± sqrt(4×13))/6 = (-2 ± 2×sqrt(13))/6 =

= (-1 ± sqrt(13))/3

x1 = (-1 + sqrt(13))/3

x2 = (-1 - sqrt(13))/3

Answer:

(20,

Step-by-step explanation:

Answer:

121 inches

Step-by-step explanation:

See the attached diagram.  We can form a right triangle as shown.  The base and sides of the right triangle can be computed by adding the 10 steps of horizonal distance 9.5" (95" for the base) and the 10 vertical distances of 7.5" (75" total) for the height.  Use the Pythagorean Theorem to calculate the hypotenuse, which will be the same as the railing length.

Answer:

Max

Step-by-step explanation:

Lucas played 2 Rodeo Racing:8 Polar pinball = 1:4 (Divide by 2)

Max played 3 Rodeo Racing:9 Polar pinball = 1:3 (Divide by 3)

1:3 is greater than 1:4 so this proves that Max has played the greater ration of Rodeo Racing to Polar Pinball.

Answer:

Max played the greater ratio.

Step-by-step explanation:

:)

Annual interest rate is 4.6%

hope this helps!

Answer:

Above is the answer, coupled with a detailed step-by-step explanation. Thank you!

The number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

let

number of hours = h

number of computers = c

number of workers = w

h = k × c / w

where,

k = constant of proportionality

h = 10.25

w = 16

c = 40

h = k × c / w

10.25 = k × 40 / 16

cross product

10.25 × 16 = k × 40

164 = 40k

k = 164/40

k = 4.1

If

c = 68

h = 16.40

h = k × c / w

16.40 = 4.1 × 68 / w

cross product

16.40w = 4.1 × 68

16.40w = 278.8

w = 278.8 / 16.40

w = 17 workers

Therefore, the number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

Learn more about ratio:

https://brainly.com/question/16981404

Answer:

x=6,x=-7

Step-by-step explanation:

x^2+x-42=0

x^2-6x+7x-42=0

x(x-6)7(x-6)=0

(x-6)(x+7)=0

Answer:

[tex]\huge\color{Black}\boxed{\colorbox{pink}{Answer♡}}[/tex]

[tex]p(x) = ax {}^{3} + 8x {}^{2} + bx + 5 ...(1)[/tex]

on dividing polynomial p(x) by ( x + 2 ) , we obtain ( -25 ) as a remainder.

Therefore , putting the value of x as ( x = -2 )

[tex]p( - 2) = a( - 2) {}^{3} + 8( - 2)^{2} + b( -2) + 5[/tex]

[tex]p( - 2) = - 8a + 32 - 2b + 5 = - 25 \\ = > - 8a - 2b + 37 = - 25 \\ = > - (8a + 2b) = - (25 + 37) \\ cancelling \: negative \: sign \: at \: both \: sides \\ 8a + 2b = 52 \\ dividing \:both \: sides \: by \: 2 \\ 4a + b = 26...(2)[/tex]

also given that..

when the polynomial p(x) is divided by 2x-1 , it gives 0 as the remainder , i.e. , 2x-1 is a root of p(x)

putting value of x = 1/2 in equation (1)

[tex]p( \frac{1}{2} ) = a( \frac{1}{2}) {}^{3} + 8( \frac{1}{2} ) {}^{2} + b( \frac{1}{2} ) + 5 = 0 \\ = > \frac{a}{8} + \frac{8}{4} + \frac{b}{2} + 5 = 0 \\ = >taking \: LCM \\ = > \frac{a + 16 + 4b + 40}{8} = 0 \\ = > \frac{a + 4b + 56}{8} = 0 \\ = > a + 4b = - 56...(3)[/tex]

4a + b = 26... (2)

a + 4b = -56... (3)

16a + 4b = 104...(4)

a ‎ ‎ ‎ ‎ ‎+ 4b = -56

16a + 4b = 104

solving these equations we get,

-15a = -160

a = -160/-15

a = 32/3

[tex]4a + b = 23 \\ 4( \frac{32}{3} ) + b = 23 \\ \frac{128}{3} + b = 23 \\ b = 23 - \frac{128}{3} \\ taking \: LCM \\ b = \frac{69 - 128}{3} \\ = > b = \frac{ -59}{3}[/tex]

hope helpful~

Answer:

  15/61 ≈ 1/4

Step-by-step explanation:

The fraction is the area of Lake Huron divided by the total area.

  (6.0·10^4)/(24.4·10^4) = 6/24.4 = 15/61

This is approximately 15/60 = 1/4.

The area of Lake Huron is 15/61 of the total area of the Great Lakes, about 1/4 of the total.

Answer:

K(w)=P(w)

150 - 15w = 180 - 20w

Collect like terms

-15w + 20w = 180 - 150

5w = 30

w = 30/5

w = 6

Therefore, w = 6 weeks

Answer:

5. (-1,-1)

6. (6,-9)

8. (1,2)

9. (-1,0)

Step-by-step explanation:

5. first you add -6 and 6 to cancel out the x and solve for y..once you have your y plug it back into the equation to find x

6. your going to subtract 7 and 8, and then 2 and 2 (this will cancel your ys). solve for x and then plug back in to solve for y.

7. plug -3x+5 into the second equation to find x then plug your x into the first equation to find y

8. same as above but with x then find y

Answer:

No

Step-by-step explanation:

(12 + 31) × 5 = 215

12 + 31 × 5 = 167

order of operations are the rules that state the sequence in which the multiple operations in an expression should be solved.

Order of Operations :

1. Parentheses

2. Exponents

3. Multiplication and Division

4. Addition and Subtraction

Answer:

$47.85

Step-by-step explanation:

4 2/5 in decimal form is 4.4

Using the equation hrs/money=x, 36.30/4.4=8.25

So, she gets $8.25 per hour

Then, 5 4/5 in decimal form is 5.8

So, 5.8*8.25=47.85

She gets $47.85 for working 5 4/5 hours

Answer:$47.85

Step-by-step explanation:

Answer:

f is equivalent to 15 and when you replace x with -5 you will have to multiply 15×(-5) and you will get -75 as an overall answer.

Answer:

2:5  

12:30

Step-by-step explanation:

Answer:

Hes right 304.8 millimeters in a foot.

Answer:

y = -2x - 8

Here's how I got that:

- You first assign the points -

     (-8, 8) → x1 = -8, y1 = 8

     (1, -10) → x2 = 1, y2 = -10

- Now you plug those points into slope formula and solve-

                          [tex]s=\frac{y2-y1}{x2-x1}[/tex]

                                   ↓

                       ((-10) - 8)/(1 - (-8))

                                   ↓

                                -18/9

                                   ↓

                           slope = -2

- Now we plug the numbers we got into intercept formula -

                            b = y1 − s ⋅ x1

                                      ↓

                             8 - (-2) · (-8)

                                      ↓

                           y-intercept = -8

           - Put everything together and you get.. -

                                 y = -2x - 8

~That's all folks~

-Siascon

[tex]\text{Given that,}\\\\(x_1,y_1) = (-8,8) ~ \text{and}~ (x_2,y_2) = (1,-10)\\\\\text{Slope, m}= \dfrac{y_2- y_1}{x_2-x_1} = \dfrac{-10-8}{1+8} = -\dfrac{18}{9} =-2\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y = m(x-x_1)+y_1\\\\\implies y = -2(x+8) + 8\\\\\implies y = -2x -16 +8\\\\\implies y = -2x -8[/tex]

Answer:

The answer is A.

Explanation:

A is true because 2/3 of a dress takes a full four hours. That means 1/3 is finished every 2 hours. So if you add both 4 and 2 together you get 6 hours :)

Hope this helped

The price of the bed after the markup is $527.80.

The given parameters:

The price of the bed after the discount of 30% is calculated as follows;

P = $580 - 0.3($580)

P = $406

The price of the bed after the markup is calculated as follows;

P = $406 + 0.3(406)

P = $527.8

Thus, the price of the bed after the markup is $527.80.

Learn more about discount price here: https://brainly.com/question/23865811