She cools one sample of bacteria to a temp of - 51 degrees C and another to -76 degrees C. What was the temperature difference in the two experiments?

Answer:

2x + 4y = $50

x = $5, and y = $10

Step-by-step explanation:

let the price of student's ticket be represented by $x, and that of adult by $y. So that:

2x + 4y = $50 ................  1

But, given that adult tickets are $5 more that student tickets.

i.e y = x + $5  .................  2

Substitute equation 2 into 1, to have;

2x + 4(x + $5) = $50

2x + 4x + $20 = $50

6x = $30

x = $5

From equation 2,

y = 5 + 5

  = $10

Therefore, the price of student tickets is $5 and adult tickets is $10.

Answer:

If all the ratios are equal, then the relationship is proportional. If all the ratios are not equal, then the relationship is not proportional.

I hope this helps

Step-by-step explanation:

Hi there! :)

Answer:

[tex]\huge\boxed{v = -27}[/tex]

[tex]\frac{v-3}{4} = \frac{9+2v}{6}[/tex]

Cross multiply:

[tex]6 ( v - 3) = 4 ( 9 + 2v)[/tex]

Distribute:

[tex]6v - 18 = 36 + 8v[/tex]

Isolate the "v" variable:

[tex]6v - 18 + 18 = 36 + 18 + 8v[/tex]

[tex]6v = 54+ 8v[/tex]

[tex]6v - 8v = 54+ 8v - 8v[/tex]

[tex]-2v = 54\\\\v = -27[/tex]

Answer:

did u ever find an answer

Answer:

d: 169

Step-by-step explanation:

Answer:

x=-24

Step-by-step explanation:

i looked it up

Answer:

X = - 1

24

Step-by-step explanation:

Solution,

3/4x = -18

or, 3/4x = -18/1

or, 3*1 = 4x*(-18) [ cross multiplication ]

or, 3 = -72x

or, -72x = 3

or, x = 3/(-72)

or, x = - 1 [ Answer ]

24

Answer:

y=2

Step-by-step explanation:

[tex] \frac{y}{5} = \frac{2}{5} \\ = > y = \frac{2}{5} \times 5 \\ = > y = 2[/tex]

Answer: Y=2

Step-by-step explanation:slove for y by simplifying both sides of the equation, the isolating the variable.

Answer:

yes she is right

Step-by-step explanation:3x + 3 is the same as 3 + 3x.  

the zero adds nothing to the 3x term. So this means that 3x +3 and 3 + 3 are the same.

i hope this helps you.

Answer:

[tex] Volume = 12\sqrt{7} [/tex] cubic units

Step-by-step explanation:

Volume of the square pyramid is given as ⅓*area of base*height of pyramid.

Where,

Area of base = 6*6 = 36

Height of pyramid = altitude = [tex] \sqrt{7} [/tex] units

Plug the values into the formula to find volume.

[tex] Volume = \frac{1}{3}*36*\sqrt{7} [/tex]

[tex] Volume = 12*\sqrt{7} [/tex]

[tex] Volume = 12\sqrt{7} [/tex] cubic units

Answer:

(-5)2 would become -10, whereas -52 would just stay the same. Normally, a number next to parentheses without any other signs (+,-,×,÷) means that you multiply.

Answer:

387.06

Step-by-step explanation:

(0 to 5) = round down

(5 to 9) = round up

[tex]387.0642 \\ \: \: 1 \: 00[/tex]

Answer:

387

Step-by-step explanation:

387.0642 apprx. 387

0 is not equal to five nor is greater than.

Hope this helps ;) ❤❤❤

Answer:

The critical value of chi-square for 20 degrees of freedom and 0.01 level of significance is 37.57.

Step-by-step explanation:

We have to find the value of chi-square for 20 degrees of freedom an area of 0.01 in the right tail of the chi-square.

As we know that in the chi-square table; there is one vertical column represented by 'P' (the level of significance and one horizontal column represented by '[tex]\nu[/tex]' which is degrees of freedom.

Here, the degrees of freedom given to us is 20.

and the level of significance is 0.01 or 1% for the right tail of chi-square.

By looking at the chi-square table, the critical value of chi-square for 20 degrees of freedom and 0.01 level of significance is 37.57.

Answer:

[tex]-54x^8[/tex]

Step-by-step explanation:

[tex]2x^{2}(-3x^2)^3\\\\2x^2((-3)^3(x^{2*3}))\\\\2x^2(-27x^6)\\\\2(-27)(x^{2+6})\\\\-54x^8[/tex]

Answer:

[tex]-54x^{8}[/tex]

Step-by-step explanation:

[tex]2x^{2} (-3x^{2} )^{3}[/tex]

We first carry through the cube.

[tex]-3^{3} x^{2*3}[/tex]

[tex]-3^{3}[/tex] = -27     [tex]x^{2*3} = x^{6}[/tex]

Now we have [tex]2x^{2} (-27x^{6} )[/tex]

2 * - 27 = -54

[tex]x^{2} *x^{6} = x^{8}[/tex]

[tex]-54x^{8}[/tex]

Answer:

its A

Step-by-step explanation:

Answer: terminating nor repeating

Step-by-step explanation:

Answer:

7 + 9 = 16

Step-by-step explanation:

The commutative law states that a + b = b + a and ab = ba.

This means that 9 + 7 = 7 + 9.

Therefore, we can rewrite the equation as 7 + 9 = 16.

Answer:

10500 m³

Step-by-step explanation:

60 × 25 × 7 = 10500 m³

Answer:

4 years hope this helps

Step-by-step explanation:

Answer:

4 Years

Step-by-step explanation:

t = I/Pr

Note the 600 is the total amount in the account.

Therefore Interest, I = 600 - 500 = 100.

t = 100 / (500 * 5%)

t =  100 / (500 *0.05)

t = 4

It will take 4 years.

Answer:

The question is not complete. I will explain relative extrema and how to calculate it.

Step-by-step explanation:

The singular of extrema is extremum and it is simply used to describe a value that is a minimum or a maximum of all function values.

A function will have relative extrema (relative maximum or relative minimum) at points in which it changes from decreasing to increasing, or vice versa.

So if f(y) is a function of y

if there exists an interval (a, b) containing d

such that for all y in (a, b) , f(y) ≤ f(d)

if there exists an interval (a, b) containing d

such that for all y in (a, b) , f(y) ≥ f(d)

Kindly note that If f(d) is a relative extrema of f(y), then the relative extrema occurs at y = d.

For the local extrema of a critical point to be determined, the function must go from increasing, that means positive  [tex]f^{'}[/tex], to decreasing, that means negative [tex]f^{'}[/tex], or vice versa, around that point.

[tex]f^{'}[/tex] is determined by finding the first derivative of the function f(y). The relative extrema will therefore allows us to check for any sign changes of f′ around the function's critical points.

Answer:

  True

Step-by-step explanation:

12 is the last element of the given set. The statement that it is an element of the set is true.

Answer: 1: k 2: 12r-20 3: 10n-13 4: -14x

Step-by-step explanation:

Answer:

A = 50 + 0.02x

Step-by-step explanation:

Let the fixed amount be m

Let the charge for each cubic ft used be c

Let the amount of cubic ft of water used be x.

Let the total cost per month be A

Now, for the first household, they used 1500 cubic feet in a month and were billed $80.

This means, x = 1500 ft³ and A = $80

Since, we are told they are charged a fixed amount plus a fee per cubic ft consumed. We can say that;

m + cx = A

Thus,

m + 1500c = 80 - - - - (eq1)

For 2nd household:

They used 2100 cubic feet was billed $92.

Thus;

m + 2100c = 92 - - - - (eq 2)

Let's subtract eq1 from eq 2 to get;

2100c - 1500c = 92 - 80

600c = 12

c = 12/600

c = 0.02

Putting 0.02 for C in eq1 gives;

m + 1500(0.02) = 80

m + 30 = 80

m = 80 - 30

m = 50

From m + cx = A, we can say that;

50 + 0.02x = A

Answer/Step-by-step explanation:

Given the five summary of a data set:

45 - min

46 - Q1

51 - Median

60 - Q3

66 - Max

Thus, any number less than [tex] Q_1 - (1.5*IQR) [/tex], or any number that is greater than [tex] Q_3 + (1.5*IQR) [/tex] would be considered an outlier.

The IQR of the data set = Q3 - Q1 = 60 - 46 = 14

Thus,

[tex] Q_1 - (1.5*IQR) = 46 - (1.5*14) = 46 - 21 = 25 [/tex]

Therefore, an observation is considered an outlier if it is below: 25.

[tex] Q_3 + (1.5*IQR) = 60 + (1.5*14) = 60 + 21 = 81 [/tex]

Therefore, an observation is considered an outlier if it is above: 81.

Answer:

0.69

Step-by-step explanation:

Let θ be the angle.

The following data were obtained from the question:

Opposite = 4.84 m

Hypothenus = 7.01 m

Sine θ =?

The sine of the angle θ can be obtained as follow:

Sine θ = Opposite /Hypothenus

Sine θ = 4.84/7.01

Sine θ = 0.69

Therefore, the sine of the angle is 0.69

Answer:

B.

Step-by-step explanation:

From the number line, we can see that the blue line points to all values to the left of 5. This means all values less than 5.

Also, note that since the blue dot is closed, the inequality includes 5.

Therefore, the inequality that represents the graph is all values less than or equal to 5.

In notation, this is:

[tex]x\leq 5[/tex]

The answer is B

Answer:

your answer is B. [tex]x\leq 5[/tex]

Step-by-step explanation:

[tex]x\leq 5[/tex] means that your arrow should be point left which means less than the line under the less than means that the don´t should be shaded in

Answer:

0≤ x ≤ 15

Step-by-step explanation:

or x = [0,15]

​

Answer: 59/28

Step-by-step explanation: 59/28

Answer:

Graph A

Step-by-step explanation:

Answer:

The Answer is Graph A on Edge

Step-by-step explanation:

Answer:

a) E

b) line segment AB

Step-by-step explanation:

a) E

b) line segment AB (It's AB with the line over it - no arrowheads)

Answer:

a)e

b)a

c)e

Step-by-step explanation:

Answer:

12 - 6 = $6 markup

marked up 200% (i think) because it is sold at twice the amount of bought price

Answer:

12, either it will happen or it won't. It is true that each sequence of heads and tails is equally likely to occur – with probability 164, in this case. However, the number of those sequences having exactly three heads is not 32, but (63)=20, which leads to the correct answer of 516.

Step-by-step explanation:

google

Answer: 50%

Step-by-step explanation: Because the likelyhood would be as likely as not then that would be half of 100, or 50%