The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 3 hours for a
square inch of ice to melt at 60 degrees, find the constant of proportionality
a. 150
c. 210
b. 180
d. 200

Answer:

72

Step-by-step explanation:

Answer:

area = 77 m²

Step-by-step explanation:

area = (14 x 3) +(5 x 5) + (5 x 2) = 42 + 25 + 10 = 77 m²

Answer:

All triangles add up to 180 degrees so...

180 - 43 - 59 = 78 degrees.

So x - 78 degrees.

x and y are supplementary angles so...

180 - 78 = 102.

So y = 102.

180 - 102 - 49 = 29 degrees

So z = 29 degrees

Hope this helps!

Answer:

Section 2

Step-by-step explanation:

I will pick the section with the largest angle.

Let's determine the size of the angle of each section.

Given:

m∠ABD = 2x+3,

m∠CBD = 4x+7,

m∠ABC = 40°

Thus:

m<ABD + m<CBD = m<ABC (angle addition postulate)

Substitute

2x + 3 + 4x + 7 = 40

Add like terms

6x + 10 = 40

6x + 10 - 10 = 40 - 10

6x = 30

6x/6 = 30/6

x = 5

✔️m∠ABD = 2x+3

Plug in the value of x

m<ABD = 2(5) + 3 = 13° (section 1)

✔️m∠CBD = 4x+7

m∠CBD = 4(5) + 7

m∠CBD = 27° (section 2)

✅I will pick section 2 because it is the section with the largest angle, which means it is the biggest.

Answer:

No possible triangles

Step-by-step explanation:

Deltamath

Answer:

-6

Step-by-step explanation:

4(2x+12)=0

8x+48=0

8x=-48

x=-6

Answer: I think it would be 1/2, 2/2 or 2/5. If i'm wrong then i'm sorry.

Answer:

angle 7

hope it helps...

The mean number of points scored by given players is 8. The correct answer would be an option (B).

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Σx = 4 + 6 + 10 + 9 + 11

Σx = 40

Here n = 5

⇒ Mean = Σx/n

⇒ Mean = 40/5

⇒ Mean = 8

Thus, the mean number of points scored by given players is 8.

Learn more about the Arithmetic means here:

brainly.com/question/13000783

#SPJ2

Answer:

40,000 Not sure but i finish unit and got all a's and b's

Step-by-step explanation:

Answer:

Step-by-step explanation:

Population of children in 2010:

Answer:

360

Step-by-step explanation:

Answer:

Let's simplify step-by-step.

yz+40

There are no like terms.

Answer: =yz+40

Hope this help :D

Answer:

The 95% confidence interval for the population mean mileage is

(27.917, 29.593)

The 98% confidence interval for the population mean mileage

(27.737, 29.762)

Step-by-step explanation:

Step(i):-

Given that the random sample size 'n' = 64

Given that the mean of sample x⁻ = 28.75miles

Given that the standard deviation of the sample (S) = 3.4 miles

Degrees of freedom = n-1 = 64-1 =63

t₀.₀₅ = 1.9983

Step(ii):-

95% confidence interval for the population mean mileage is determined by

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} })[/tex]

[tex](28.75-1.99\frac{3.4}{\sqrt{64} },28.75 + 1.99 \frac{3.4}{\sqrt{64} } )[/tex]

(28.75 - 0.845 , 28.75 + 0.845)

(27.917 , 29.593)

Step(iii):-

98% confidence interval for the population mean mileage is determined by

[tex](x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S}{\sqrt{n} })[/tex]

[tex](28.75-2.3824\frac{3.4}{\sqrt{64} },28.75 + 2.3824 \frac{3.4}{\sqrt{64} } )[/tex]

(28.75 - 1.01252 , 28.75 + 1.01252)

(27.737 , 29.762)

Final answer:-

98% confidence interval for the population mean mileage is

(27.737 , 29.762)

Answer:

Angle 2 would be 78 degrees because of alternate exterior angle property.

Answer:

The area of the triangle is of 8 units of area.

Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices [tex](x_1,y_1),(x_2,y_2),(x_3,y_3)[/tex] is given by the determinant of the following matrix:

[tex]A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|[/tex]

In this question:

Vertices (1,0) (5,0) (3,4). So

[tex]A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|[/tex]

[tex]A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)[/tex]

[tex]A = \pm 0.5*(20-4)[/tex]

[tex]A = \pm 0.5*16 = 8[/tex]

The area of the triangle is of 8 units of area.

Answer:

input 1 output 1 ×7 =7

input 2 output 2 ×7 =14

input 3 output 3 ×7=21

input 4 output 4×7=28

Answers are 7, 14, 21 and 28

Answer:

C.

Step-by-step explanation:

Hope this helps! have a great day!

Answer:

d)

Step-by-step explanation:

Equation of circle with center at point (h, k) and radius, r.

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

This problem:

(x − A)^2 + (y − B)^2 = C

The center is (A, B).

The radius is sqrt(C).

Answer: d)

Answer:

2

Step-by-step explanation:

Answer:

9.  [tex] \frac{1}{10,000} = 0.0001 [/tex]

10. [tex] \frac{1}{81} [/tex]

Step-by-step explanation:

9. [tex] x^{-4} [/tex]

Evaluate when x = 10.

Substitute x = 10 into the expression

[tex] 10^{-4} [/tex]

Apply the negative exponent rule ([tex] a^{-n} = \frac{1}{a^n} [/tex])

Thus:

[tex] = \frac{1}{10^4} [/tex]

[tex] = \frac{1}{10^4} = \frac{1}{10,000} = 0.0001 [/tex]

10. [tex] 2a^{-1}b^{-3} [/tex]

Evaluate when a = 6 and b = 3

Substitute

[tex] (2*6^{-1})(3^{-3}) [/tex]

Apply the negative exponent rule

[tex] (2*\frac{1}{6})(\frac{1}{3^3}) [/tex]

[tex] (\frac{2}{6})(\frac{1}{27}) [/tex]

[tex] \frac{2*1}{6*27} [/tex]

[tex] \frac{1}{81} [/tex]

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

plugging the value of x as 10, we get

[tex]\longrightarrow\: \: x {}^{ - 4} [/tex]

[tex]\longrightarrow\: 10 {}^{ - 4} [/tex]

[tex]\longrightarrow \dfrac{1}{10 {}^{4} } [/tex]

[tex] \longrightarrow\dfrac{1}{10000} [/tex]

[tex]\longrightarrow0.0001[/tex]

plugging the value of

[tex]\longrightarrow2 {a}^{ - 1} b {}^{ - 3} [/tex]

[tex]\longrightarrow2 \times 6 {}^{ - 1} \times 3 {}^{ - 3} [/tex]

[tex]\longrightarrow \dfrac{2}{6 \times 27} [/tex]

[tex]\longrightarrow \dfrac{2}{162} [/tex]

[tex]\longrightarrow \dfrac{1}{81} [/tex]

_____________________________

[tex] \\ \\ \mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

The discriminant is 0

Step-by-step explanation:

If the discriminant of a quadratic equation equals 0, it means 2 identical real roots existed. (x = -3 is the only x-intercept of the graph of a quadratic equation)

Answer:

wheres the diagram???

Step-by-step explanation:

Answer:

Answer Below  V

Step-by-step explanation:

1. They must be adjacent

2. They have to be connected with the line segment Z

Answer:

how about no

Step-by-step explanation:

Answer:

6x^3+3x^2

Step-by-step explanation:

Volume is b*h*w.

So, we have (3x)(x)(2x+1).

Simplifying the parentheses, we get: 3x*x*(2x+1).

3x*x= 3x^2.

Now we can simplify the other parentheses.

3x^2(2x+1) will be 6x^3+3x^2, because (3x^2)(2x)+(3x^2)(1).

Thus, we get 6x^3+3x^2

Answer:

27.50

Step-by-step explanation:

I'm the one who just commented for you this is what I thought good luck.