if -2/5r=20, then r=50 true or false

Answer:

111100 base 2

Step-by-step explanation:

The conversion of 60 base 10 to base 2

When converting a number from base 10 to base 2, the following steps are taken:

a) The number in base 10 is divided by 2 and the remainder is recorded, this continues until the remainder is less than 2.

b) The remainder from the bottom to the top are arranged so as to get the representation of the number in base 2.

60 base 10 to base 2

60 ÷ 2       =       30  remainder  0

30 ÷ 2       =        15 remainder   0

15 ÷ 2       =         7   remainder   1

7 ÷ 2        =          3  remainder   1

3 ÷ 2        =          1   remainder   1

1 ÷ 2         =          0  remainder   1

The remainder from bottom to top is 111100 base 2.

(60)₁₀ = (111100)₂

The slope of the new road is zero.

The slope of a line is the change in y with respect to the change in x.

In other words, the slope of a line is rise over run.

Therefore, the new road the city planner wants to build is perpendicular to the the D street.

(5, 1)(5, 4)

slope of D street = 4 - 1 / 5 - 5

slope of D street = 3 / 0

slope of D street = infinity

An infinite slope is simply a vertical line. Therefore, it is only perpendicular to a horizontal line which will have a slope of 0. Hence, the new road should have a slope of 0.

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Answer:

0.66608

Step-by-step explanation:

Equipment = 3 fans

Mortality = 0.098

We are required to find probability that equipment gets to work for 5years

The question says forces of mortality is constant and also equal to 0.098

To calculate p(x>5)

We will do this by calculating exponentially

e^-0.098x5

= 0.612626394

Probability that at least 2 fans out of 3 are working

3(0.612626394)²+(1-0.612626394)+(0.612626394)³

= 1.1259333x0.3873736+0.2299255

= 0.6660823470

This is approximately

0.6608

this is the probability that the equipment will work for at least 5years

Answer:

\(y=-3x+17\)

Step-by-step explanation:

\(m=\frac{8-2}{3-5}=-3 \\ \\ y-2=-3(x-5) \\ \\ y-2=-3x+15 \\ \\ y=-3x+17\)

The equation of line in slope intercept form is, y = -3x + 17.

What is slope intercept form of the line?

One of the most popular ways to represent a line's equation is in the form of its slope intercept. Given a straight line's slope and y-intercept, one can apply the slope intercept formula to determine a line's equation ( the y-coordinate of the point where the line intersects the y-axis). Each point on a line must satisfy its equation in order for the line to exist.

Consider, the given points, (3, 8) and (5, 2).

First we have to find the slope of the line by using the given points.

\(m = \frac{y_2-y_1}{x_2-x_1} = \frac{2-8}{5-3}=\frac{-6}{2} =-3\)

Therefore, the slope of the line is -3.

Now consider, the point slope form of the line,

\(y-y_1=m(x-x_1)\\y-2=-3(x-5)\\y-2=-3x+15\\y=-3x+15+2\\y=-3x+17\)

Hence, the equation of line in slope intercept form is, y = -3x + 17.

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\( \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}\)

Question :-

Answer :-

\( \rule{180pt}{3pt}\)

Diagram :-

\(\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{6 \: in}}\put(9,17.5){\sf{10 \: in}}\end{picture}\)

Solution :-

As per the provided information in the given question, we have been given that the radius of the cylinder is 6 in. The height of the cylinder is 10 in. We have been asked to find or calculate the surface area of the cylinder.

To calculate the surface area of the cylinder, we will use the formula below :-

\(\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}\)

Substitute the given values into the above formula and solve for surface area:

\(\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh\)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(6 \: in)^2 + (2)(3.14)(6 \: in)(10\:in) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(36 \: in^2) + (2)(3.14)(60\:in^2) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(113.04 \: in^2) + (2)(188.4 \: in^2) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = 226.08 \: in^2 + 376.8 \: in^2 \)

\(\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 602.88 \: in^2}\)

Therefore :-

\(\\\)

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Have a great day! <33

The normal range using a compound inequality is 1.5 < x < 4

From the question, we have the following parameters that can be used in our computation:

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.

The surface area of the cylindrical part can be calculated as follows:

The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²

The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²

So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:

Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²

The surface area of the conical part can be calculated as follows:

The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m

The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²

So, the total surface area of the conical part is the sum of the base area and lateral area, which is:

Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²

Therefore, the total surface area of one tent is:

Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²

To make 1500 tents, the total amount of canvas required is:

Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²

The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:

Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400

As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:

Amount shared by each school = Total cost of canvas / 50

Amount shared by each school = 23,099,400 / 50

Amount shared by each school ≈ Rs 461,988

Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.

Step-by-step explanation:

Answer:

2p-8

Step-by-step explanation:

Know you're amazing and smart!

Answer:

Step-by-step explanation:

4p+8-2p-16 combine like terms

2p-8

The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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Answer:

3

140-3= so she gave away 3

9514 1404 393

Answer:

  (a)  c = 4

  (b)  c < 4

  (c)  c > 4

Step-by-step explanation:

(a) The solutions to the system of equations can be found by substituting one expression for y into the other equation:

  3x^2 -5x = 2x^2 -x -c

  x^2 -4x +c = 0 . . . . . . . subtract the right side expression

The discriminant is

  d = b^2-4ac = (4)^2 -4(1)(c) = 16-4c.

The system will have exactly one solution when d = 0.

  16 -4c = 0

  4 -c = 0

__

(b) There will be more than one real solution when d > 0

  4 -c > 0

  c < 4 . . . . two real solutions

__

(c) There will be no real solutions when d < 0.

  4 -c < 0

  c > 4 . . . . no real solutions

_____

Additional comment

The question posed here simply asks for a value of c. It does not ask for the solutions (x, y). We can count them without knowing exactly what they are.

Answer:

Table D

Step-by-step explanation:

I have all of the tables listed below and the correct one circled! I used to tutor my cousin about this topic!

I hope this helps and please feel free to comment, ask questions, give feedback, and correct me if I am wrong!

Have a great day!

:)

The 4th table in the option is the correct one.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Yolanda saves all the money from a regular baby-sitting job. The money in her savings account is increasing according to the equation y = 6x + 50, where x = number of hours worked and y = savings in dollars.

The given equation is y = 6x + 50

Put x = 0

y = 50

Put x = 5

y = 80

Put x = 10

y = 110

Put x = 15

y = 140

Creating the table,

                 x                                                                 y

                 0                                                                50

                 5                                                                80

                 10                                                               110

                 15                                                               140

Hence, we get the table.

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Answer: 330

Step-by-step explanation: add 50 to 280 :)

Answer:

(1+2V3)^2=13+4V3

<=> 1 +4V3 +12 = 13+4V3

<=> 1 +12 = 13

<=> 13=13

sorry if i wrong :(

By substitution; x = 4 and y = -31

An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.

y=-6x-7 --- 1

7x+y=-3 --- 2

Substituting y as 6x - 7 in equation 2

7x + (-6x - 7) = -3

7x - 6x - 7 = -3

x - 7 = -3

x = -3 + 7

x = 4

Substitute x as 4 in equation 1

y = -6x - 7

y = -6(4) - 7

y = -24 - 7

y = -31

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A probability mass function (pmf) for a random variable X must satisfy the following two conditions:
1. f(x) ≥ 0 for all x
2. Σf(x) = 1

(a) f(x) = x/c
To find the constant c, we can use the second condition and sum over all possible values of x:
Σf(x) = Σ(x/c) = 1/c Σx = 1
Since we don't have a specified range for x, we cannot solve for c.

(b) f(x) = cx
Again, we can use the second condition to find the constant c:
Σf(x) = Σ(cx) = cΣx = 1
Without a specified range for x, we cannot solve for c.

(c) f(x) = c(1/4)^x
Using the second condition:
Σf(x) = Σ(c(1/4)^x) = cΣ(1/4)^x = 1
We can use the formula for an infinite geometric series to find the sum:
Σ(1/4)^x = 1/(1 - 1/4) = 4/3
So, c = 3/4

(d) f(x) = c(x + 1)^2
Using the second condition:
Σf(x) = Σ(c(x + 1)^2) = cΣ(x + 1)^2 = 1
Without a specified range for x, we cannot solve for c.

(e) f(x) = x/c
This is the same as part (a), so we cannot solve for c without a specified range for x.

(f) f(x) = c/(x+1)(x+2)
Using the hint, we can rewrite f(x) as:
f(x) = c(1/(x+1) - 1/(x+2))
Using the second condition:
Σf(x) = Σ(c(1/(x+1) - 1/(x+2))) = cΣ(1/(x+1) - 1/(x+2)) = 1
We can use the formula for a telescoping series to find the sum:
Σ(1/(x+1) - 1/(x+2)) = 1 - 1/(x+2)
As x approaches infinity, the sum approaches 1.
So, c = 1

To depict each pmf as a line graph, we would plot the values of f(x) on the y-axis and the values of x on the x-axis. However, without a specified range for x, we cannot create accurate graphs for parts (a), (b), (d), and (e). For part (c), the graph would be a decreasing exponential curve, with f(x) approaching 0 as x increases. For part (f), the graph would be a decreasing curve, with f(x) approaching 0 as x increases.

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Answer:

60%

Step-by-step explanation:

1200/2000=.6 or 60%

60%of calories were from carbohydrates.

a relative value that represents one tenth of any amount. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified. percentage. Percentile in mathematics is a related topic.

Given

1200/2000=.6 or 60%

Hence, 60%of calories were from carbohydrates.

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the two planes will be at the same altitude of approximately 5675.48 feet after 49.45 seconds.

A plane is a flat two-dimensional surface that extends infinitely in all directions. In geometry, a plane is defined as a surface that is completely flat and has no thickness. It is often represented as a coordinate system with two perpendicular axes, usually labeled as the x-axis and y-axis.

Assuming that the two planes maintain their rates of ascent, we can use the following equations to determine when the planes will be at the same altitude:

altitude of plane A = 4000 + 33.5t

altitude of plane B = 3146 + 50.75t

where t represents time in seconds.

To find the time at which the two planes will be at the same altitude, we can set the two equations equal to each other and solve for t:

4000 + 33.5t = 3146 + 50.75tSubtracting 3146 from both sides, we get:

854 + 33.5t = 50.75t

Subtracting 33.5t from both sides, we get:

854 = 17.25t

Dividing both sides by 17.25, we get:

t = 49.45 seconds

Therefore, it will take approximately 49.45 seconds for the two planes to be at the same altitude. To find the altitude at which they will meet, we can substitute this value of t into either equation. Using the equation for plane A, we get:

altitude of plane A = 4000 + 33.5(49.45) = 5645.08 feet

Using the equation for plane B, we get:

altitude of plane B = 3146 + 50.75(49.45) = 5675.48 feet

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Answer:

d = 2√3

Step-by-step explanation:

In this problem, we'll need to divide the number of apples by the amount of apples in a small bag. This will leave us with the number of small bags needed for the amount of apples.

91 / 7 = 13

Therefore, Alexa and her family bought 13 small bags of apples.

Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

Step-by-step explanation:

wat questions are we needed to answer

Answer:

Hello! Thank you for the points! Trying to rank up here!

The inference from the information is A. No, the equation is not a good fit because the sum of the residuals is a large number.

It should be noted that line of best fit simply means a line through a scatter plot of data points which shows the relationship between the points.

In this case, the inference from the information is that the equation is not a good fit because the sum of the residuals is a large number.

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Answer:

x/3

Step-by-step explanation:

Let the number be x.

Quotient simply means to divide a number by another number without any remainder.

For example, a quotient of 2 simply means that a number divided by 5 would have a value that is equal to 2 without any remainder; 10/5 = 2.

Therefore, translating the word problem into an algebraic expression we have;

Quotient = x/3

Answer:

8

Step-by-step explanation:

Subtract 6 to 7 then add that to the 7.

Answer:

7 hours

Step-by-step explanation:

yw :)

The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.

This can be calculated using a rule of three as follows. Let's start with the yellow fish:

53 = 65

x    = 100

53 x 100 / 65 = 82 yellow fish

Green fish:

12 = 65

x = 100

12 x 100 / 65= 18 green fish

This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.

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Answer: I believe it’s c because I have that question on my test and c was the correct answer for me sorry if it didn’t work

Step-by-step explanation: