A coffeehouse charges a flat rate, r, for each hour a customer wants to use the Internet. write an equation to express the total cost, c, to use the Internet at the coffeehouse for t hours.

Answer:

it's potential energy decreases

Answer:

slope=-9/2

y int- 6

Step-by-step explanation:

okay lets take two points

-2,15 and -6,33

the slope is 33-15/ -6-(-2)= 18/-4=-9/2

equation is y=mx+b where m is slope and b is y intercept

so plugging values in we get

15=-2(-9/2)+b

15=9+b

b=6

Answer:

Step-by-step explanation:

considering A). hemisphere diameter = 48 yd

volume of hemisphere = (2/3)*pi*(r)^3

the radius of hemisphere = diameter/2 = 48/2 = 24 yd

hence, the volume of hemisphere = (2/3)*pi*(24)^3  yd^3

taking pi = 3.14

volume = 28938.24 yd^3 approximately volume = 28940 yd^3

considering B). Circumference of a great circle = 26 m

circumference of sphere = 2*pi*r

therefore r = 4.14 m

volume of sphere = (4/3)*pi*(r)^3

volume of sphere = 297.077 m^3

Answer:

24. A. 28952.9 yd²

B. 297.2 m³

Step-by-step explanation:

24.

A.

diameter=48 yd

radius (r)=diameter/2=48/2=24yd

We have

Volume of Hemisphere= ⅔*πr³=⅔*π*r³

Substituting value

Volume of Hemisphere=⅔*π*24³=28952.9 yd³

B.

Circumference of great circle=2πr=26m

2πr=26

r=26/(2π)

r=4.14

Now

Volume of sphere = 4/3*πr³

Volume of sphere=4/3*π*4.14³=297.2 m³

Answer:

The correct answer is A, If I practice football, then I will improve.

Answer:

80 degrees

Step-by-step explanation:

the angles in a triangle all add up to 180 degrees

Answer:

Let the third angle be \({x°}\)

Since the sum of all three angles of a triangle is 180°,

We have

40°+60°+\({x}\) = 180°

→ 100+\({x}\) = 180°

\({x}\) = 180-100 = 80°

The measure of the third angle is 80°

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

D.

Step-by-step explanation:

20,800,000 it matches more

Answer:

23

Step-by-step explanation:

Answer:

The probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.

Step-by-step explanation:

We have a cube, with the faces painted black, that each side is divided in 5, so we end up with 125 cubes.

We have to calculate the probability that a randomly selected cube is rolled and the face on the top is black.

This probability is equal to the proportion of black area in the total area of the cube.

We can define the side of the original cube as A=5a, being a the side of the small cubes.

The area that is painted black is equal to the sum of 6 squares of side A. In terms of a, that is:

\(S_b=6\cdot A^2=6\cdot(5a)^2=6\cdot25a^2=150a^2\)

The total area of the 125 small cubes is:

\(S=125(6a^2)=750a^2\)

Then, the ratio of black surface to the total surface is:

\(s_b/s=(150a^2)/(750a^2)=0.2\)

Then, we can conclude that the probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.

Answer:

Point M = (2, -4)

Point N = (2, 4)

Step-by-step explanation:

Point L = (-2,-4)

If it is reflected over y-axis, it's y-coordinate remains the same and x-coordinate will change into it's opposite.

Point M = (2, -4)

The, it is reflected over x-axis, it's x-coordinate remains the same and y-coordinate will change into it's opposite.

Point N = (2, 4)

We need to calculate the wavelength w of a musical note with a frequency f = 120 waves per second.

We know that f (in waves per​ second) and w (in meters) are related as:

Thus, to find w for f = 120, we need to replace f with 120 in the above relation.

We obtain:

Therefore, approximating to the nearest hundredth, we have:

Answer: 2.86 meters

Answer:

hey

Step-by-step explanation:

Answer:

36 units²

Step-by-step explanation:

rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

we use the inverse formula

12 * 3 =

36 units²

-----------------------

check

36 : 12 = 3

the answer is good

Answer:

60

Step-by-step explana

3:5=0,6  

0,6x10=60

Step-by-step explanation:

B

O

D

M

A

S

division first

3/5

multiplication second

3/5×100

=60

plss mark brainliesttt

since the investment is losing 10%, let's plug that in the compound interest equation but with a negative rate of 10%.

\(~~~~~~ \underset{\textit{with a negatie rate}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1~~ - ~~\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{six times} \end{array}\dotfill &6\\ t=years\dotfill &t \end{cases}\)

\(A=4000\left(1~~ - ~~\frac{0.10}{6}\right)^{6\cdot t}\implies A=4000\left( \frac{59}{60} \right)^{6t}\)

The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service

Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,

We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,

To find the same, we will first find the unit price of each,

Unit price = total price / total quantity

Since, 1.8 kg of chicken costs $5.40,

Therefore, 1 kg will cost = 5.40 / 1.8 = $3

Similarly,

If 1.6 kg of meat costs $6.40,

Therefore, 1 kg will cost = 6.40 / 1.6 = $4

Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,

Therefore,

2.4 kg of chicken will cost = 2.4 x 3 = $7.2

2 kg of meat will cost = 2 x 4 = $8

In total, she had to pay = 8+7.2 = $15.2

Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

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Answer:

323/7 or about 46.143

Step-by-step explanation:

We can infer that the measure of B + C is 90 degrees, so 6x + 1 + 8x - 11 must be equal to 90.

6x + 1 + 8x - 11 = 90
14x - 10 = 90

14x = 100

x = 100/14

x = 50/7

Solve for the measure of C by substituting x with 50/7.

50/7 * 8 = 400/7

400/7 - 11 = 323/7

the measure of C is 323/7

Step-by-step explanation:

\(\displaystyle \bullet\ \quad \sf \red{\int \dfrac{1}{x\sqrt{x^n-1}}\ dx}∙ \)

\(\displaystyle \sf \red{\int \dfrac{1}{x\sqrt{x^n-1}}\ dx}\)

\(\displaystyle\int \sf \dfrac{x^{n-1}}{x^n\ \sqrt{x^n-1}}\ \)

\( \longmapsto\sf=\sqrt{x^n-1}u= x n −1\)

\( \longmapsto \sf ^2=x^n-1u2 =x n −1\)

\( \longmapsto\sf u^2+1=x^nu 2 \)

\( \sf 2u\ \longmapsto \: du = nx^{n-1}\)

\( \longmapsto\sf \dfrac{2u}{n}\ du=x^{n-1}\)

\(\displaystyle \longrightarrow \quad \int \sf\dfrac{\frac{2u}{n}}{(u^2+1)\ u}\)

\(\longrightarrow \quad \sf \dfrac{2}{n}\ \int \dfrac{1}{u^2+1}\)

\(\displaystyle \longrightarrow \quad \sf \dfrac{2}{n}\ tan^{-1}(u)+c\)

\(\displaystyle \quad \sf \pink{\longrightarrow \dfrac{2}{n}\ tan^{-1} \left( \sqrt{x^n-1} \right) +c}\)

Hope It Helps!

Answer:

Step-by-step explanation:

Answer:

Step 2

1 2/3 was converted as 5/2 instead of 5/3

Step-by-step explanation:

Number of batches

Solution by Janice:

Error made at step 2:

1 2/3 was converted as 5/2 instead of 5/3

Answer:

A

Step-by-step explanation:

If there are 4 boys and 4 girls , then the number of ways in which

(i) there is no restriction is 40320 ways  ,

(ii) not all girls sit together is 37440 ways  ,

(iii) no two girls sit together is 2880 ways  .

the number of boys in the class is =  4 boys ;

the number of girls in the class is = 4 girls ;

Part(i) ,

we have to find number of ways in which they can sit in a row where there is no restriction .

there are total of 8 persons ,

So ,the number of ways in which 8 persons can be arranged without any restrictions is = 8! ways.

= 40320 ways

Part(ii) ,

we have to find number of ways in which they can sit in a row where not all girls sit together.

the cases where all gets sit together is written as :

= B₁ , B₂ , B₃ , B₄ , G ⇒ 5! ways ;

= B: G₁ , G₂ , G₃ , G₄ ⇒ 4! ways ;

the number of ways all girls are together is = 5! × 4! ;

So , the number of ways not all girls are together is = 8! - 5!×4!  ;

= 37440 ways

Part(iii) ,

we have to find number of ways in which they can sit in a row where no two girls sit together.

this case can be denoted as : G , B₁ , G , B₂ , G , B₃ , G , B₄ .

So , the boys can be arranged in 4! ways ;

and there will be 5 places for 4 girls , which can be arranged in ⁵P₄ ways ;

total number of ways is = 5!×4! =  2880 ways .

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Answer:

25

Step-by-step explanation:

formula for triangle is (b*h)/2=A

Answer:

The slope of a line perpendicular to a vertical line is zero.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A is impossible. You cannot have both a right triangle and in the same triangle have an angle in it that is over 90 (that's the meaning of scalene)

B is sort of true, but only sort of. All scalene triangles have an angle over 90 and 2 acute angles.

C this is the answer to the question. It has 1 right angle and 2 equal sides. The two equal sides make it isosceles and the right angle is given.

D an acute triangle has three angles under 90 that add to 180. Not the right description.

A triangle with one right angle and two congruent sides is described as a "right isosceles triangle." (Option C)

Let's break down the terms:

1. Right Angle: A right angle is an angle that measures exactly 90 degrees.

2. Isosceles Triangle: An isosceles triangle is a triangle with at least two sides of equal length (congruent sides).

3. Right Isosceles Triangle: A right isosceles triangle is a special type of isosceles triangle where one of the angles is a right angle (90 degrees) and the other two angles are equal, each measuring 45 degrees.

In a right isosceles triangle, the two congruent sides are the legs of the right triangle, and the third side (opposite the right angle) is called the hypotenuse.

So, among the given options, the best description for a triangle with one right angle and two congruent sides is a "right isosceles triangle" (Option C).

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Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

a) As P-value is less than the level of significance ∝=0.05, we reject the null hypothesis.

b) Effective size = 0.5405

c)There is sufficient evidence to conclude that the treatment significantly affected cognitive performance.

What is hypothesis testing in statistics?

A statistical hypothesis test is a statistical inference method used to determine whether the data at hand sufficiently support a specific hypothesis. We can make probabilistic statements about population parameters thanks to hypothesis testing.

From the given information, the mean of the differences is\(d =M_d = 1.40\),

the standard deviation of the differences s = 2.59, and n = 15.

Paired t-test or dependent samples test is suitable for testing the required.

(a) Null Hypothesis: \(H_0:\)\(\mu_D=0\)

Alternative Hypothesis: H1: \(\mu_D > 0\), One-tailed test.

The level of significance is ∝ = 0.05 then the critical value is \(t_{0.05}= 1.761\) ,

degrees of freedom n - 1 = 15 - 1 = 14.

we reject the null hypothesis, otherwise, we fail to reject it.

The test statistic

                  \(t_{cal}=\frac{d}{s_d/\sqrt{n} } \\\\t_{cal}=\frac{1.40}{2.59/\sqrt{15} }\\\\t_{cal}=2.0935\)

The test statistic value is greater than the critical value \(t_{0.05}= 1.761\) .

It falls in the rejection region, we reject the null hypothesis.

P-value = P(t> 2.0935)=0.027,

P-value less than the level of significance ∝=0.05, we reject the null hypothesis. Therefore, there is sufficient evidence to conclude that the treatment significantly affected cognitive performance.

b)

Effect size ⇒

                     \(=\frac{M_d}{SD_d}\\\\=\frac{d}{s_d}\\\\=\frac{1.40}{2.59}\\\\=0.5405\)

c) Therefore, there is sufficient evidence to conclude that the treatment significantly affected cognitive performance.

Hence,

a) As P-value is less than the level of significance ∝=0.05, we reject the null hypothesis.

b) Effective size = 0.5405

c)There is sufficient evidence to conclude that the treatment significantly affected cognitive performance.

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The linear function passing through points (1,7) and (2.5, 1) is given by:

y = -4x + 11.

A linear function, in slope-intercept format, is modeled according to the rule presented below:

y = mx + b

In which the coefficients are described as follows:

For this problem, the two points that form the function are given as follows:

(1,7) and (2.5, 1).

The slope is given by change in y divided by change in x, hence it is given by:

m = (1 - 7)/(2.5 - 1) = -4.

Then:

y = -4x + b.

When x = 1, y = 7, hence we can find the intercept b of the function as follows:

7 = -4(1) + b

b = 7 + 4

b = 11.

Hence the equation is:

y = -4x + 11.

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Given an equation of the form:

For the line: