Give simple working out

The maximum number of gigabytes Ian can use while staying within his budget is 4.1. Since gigabytes cannot be divided, we round down to the nearest whole number. Thus, Ian can use a maximum of 4 gigabytes to keep his bill under $80 per month.

The inequality that can be used to determine the maximum number of gigabytes, denoted by x, Ian can use while staying within his budget is:

5x + 59.50 ≤ 80

In this inequality, 5x represents the cost of the gigabytes used, 59.50 represents the flat cost per month, and 80 represents Ian's maximum budget for his cell phone bill.

To break it down further, the term 5x represents the cost of x gigabytes used at a rate of $5 per gigabyte. The term 59.50 represents the flat cost per month that Ian pays regardless of how many gigabytes he uses. The sum of these two terms, 5x + 59.50, gives the total cost of Ian's cell phone bill.

By setting this expression less than or equal to 80, we ensure that Ian's bill does not exceed his maximum budget of $80 per month. If the expression is true, it means that the total cost of the gigabytes used plus the flat cost is within Ian's budget.

To find the maximum number of gigabytes, we can solve the inequality for x. By rearranging the terms and isolating x, we get:

5x ≤ 80 - 59.50

5x ≤ 20.50

x ≤ 20.50/5

x ≤ 4.1

Therefore, the maximum number of gigabytes Ian can use while staying within his budget is 4.1. Since gigabytes cannot be divided, we round down to the nearest whole number. Thus, Ian can use a maximum of 4 gigabytes to keep his bill under $80 per month.

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triangle 4 is formed by q translation of thr triangle ABC

Answer:

e)

1) Since we know the slope, and the y-intercept from the previous items we can tell the function's rule is:

Note that the slope tells us how steep is the line, and the b-coefficient is 13.

2) And that is the answer.

Answer:

Step-by-step explanation:

principal=rs 9450

time=5 years

rate=6%

Interest=PTR/100

=9450*5*6/100

=283500/100

=rs 2835

Total amount=Interest+principal

=rs 2835+rs 9450

=rs12285

Answer:

The surface area of the given cylinder is 803.8 in² to the nearest tenth.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

\(\boxed{SA = 2\pi r^2 + 2\pi rh}\)

where r is the radius of the circular base, and h is the height of the cylinder.

From inspection of the given diagram:

Substitute these values into the formula and solve for SA:

\(\begin{aligned}\implies SA&=2\pi r^2 + 2\pi rh\\&=2 \cdot 3.14 \cdot 8^2+2 \cdot 3.14 \cdot 8 \cdot 8\\&=2 \cdot 3.14 \cdot 64+2 \cdot 3.14 \cdot 8 \cdot 8\\&=401.92+401.92\\&=803.84\\&=803.8\; \sf in^2\;\;(nearest \; tenth)\end{aligned}\)

Therefore, the surface area of the given cylinder is 803.8 in² to the nearest tenth.

Question :-

Answer :-

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

Diagram :-

\(\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{8 \: in}}\put(9,17.5){\sf{8 \: in}}\end{picture}\)

Solution :-

As per the provided information in the given question, we have been given that the radius of the cylinder is 8 in. The height of the cylinder is 8 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:

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

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(8 \: in)^2 + (2)(3.14)(8\:in)(8\:in) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(64 \: in^2) + (2)(3.14)(64\:in^2) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(200.96 \: in^2) + (2)(200.96 \: in^2) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = 401.92 \: in^2 + 401.92 \: in^2 \)

\(\sf:\implies \bold{Surface \: Area_{(Cylinder)} = 803.84 \: in^2}\)

Therefore :-

\(\\\)

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Have a great day! <33

The answer is: Yes, all conditions for inference are met.

Answer:

\(\frac{3}{5}\) or 0.6

Step-by-step explanation:

Given:

Number of yellow tickets = 5

Number of green tickets = 5

Total number of tickets = 5 + 5 = 10

Required:

Find the probability that a randomly picked ticket is green or has a number greater than 4

Use the formula:

P = probability of green tickets + probability of yellow tickets with numbers greater than 4

Yellow tickets with numbers greater than 4 = 1 ticket

Probability of picking a green ticket = \( \frac{5}{10} = \frac{1}{2} \)

Probability of picking a yellow ticket with number greater than 4 = \(\frac{1}{10}\)

Therefore, probability that a randomly picked ticket is green or has a number greater than 4

= \(\frac{1}{2} + \frac{1}{10} = \frac{6}{10}\)

\(= \frac{3}{5}\)

Probability that a randomly picked ticket is green or has a number greater than 4 = \(\frac{3}{5}\) or 0.6

Answer:

5 apples and 3 bananas

Step-by-step explanation:

It was a lengthy process finding the answer.

Hope this helps :)

Answer:

Bananas = 3

Apples = 5

Step-by-step explanation:

1.20 X 5 = 6.00

1.10 X 3 = 3.30

6.00 + 3.30 = 9. 30

Brainliest plzzz!!!!

The statements that accurately compare the domain and range of the functions are: The domain of all three functions is all real numbers, The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

The domain of a function refers to all the possible input values that make the function defined. For the quadratic function f(x) = 3x², there are no values of x that make the function undefined, so the domain of f(x) is all real numbers. To find the range of f(x), we can calculate the vertex of the parabola, which is (0,0). The range of f(x) is all real numbers greater than or equal to zero.

For the quadratic function f(x) = 3x², we can determine the vertex using the formula:

h = -b/2a

In this case, a = 3 and b = 0, so:

h = -0/2(3) = 0/6 = 0

The x-coordinate of the vertex is 0.

To find the y-coordinate, we evaluate the function at the vertex:

f(0) = 3(0)² = 0

So the vertex of the parabola is (0,0).

Since the coefficient of x² is positive, the parabola opens upwards, and the minimum value of the function occurs at the vertex. Therefore, the range of f(x) is all real numbers greater than or equal to zero.

For the rational function g(x) = 1/3x, the function is undefined when the denominator is equal to zero. Thus, we solve for the value(s) of x that make the denominator zero:

3x = 0

Dividing both sides by 3, we get:

x = 0

Therefore, the domain of g(x) is all real numbers except zero. The range of g(x) is all real numbers except zero, since the function cannot equal zero.

For the linear function h(x) = 3x, there are no values of x that make the function undefined. Thus, the domain of h(x) is all real numbers. The range of h(x) is also all real numbers, since the function is a straight line that passes through the origin and extend infinitely in both directions.

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The volume of the solid obtained by rotating the region bounded by y = x^2, y = 0 and x = 1, about the y-axis is π/2.

We have to determine the volume of the solid obtained by rotating the region bounded by y = x^2, y = 0 and x = 1, about the y-axis.

We will rotate the region near the y-axis using the disc method. Consequently, the curve's equation should be expressed in terms of y.

y = x^2

Taking square root on both side, we get

x = √y

We can write it as

x = y^{1/2}

The volume integral formula is

V = \(\pi\int_{a}^{b}R(x)^2dx\)

The values of a and b are taken from the y-axis since the equation for the curve we need is expressed in terms of y.

Using the curve's equation, if x = 0, y = 0, and if x = 1, y = 1, respectively.

Thus, a = 0 and b = 1 are the values.

Now, we may use definite integral to express the volume.

V = \(\pi\int_{0}^{1}\left[y^{1/2}\right]^2dx\)

Now simplify

V = \(\pi\int_{0}^{1}ydx\)

Now integrating

V = \(\pi\left[\frac{y^2}{2}\right]_{0}^{1}\)

V = \(\pi\left[\frac{(1)^2}{2}-\frac{(0)^2}{2}\right]\)

V = \(\pi\left[\frac{1}{2}-0}\right]\)

V = π/2

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Assuming the population is in Hardy-Weinberg equilibrium, the individuals have green hair are equal to 91% .

From the data present in problem,

Hardy and Weinberg proved mathematically that in a population all dominant and recessive alleles include all alleles for a given gene. Mathematically, denoted as p + q = 1.0

Where, p = frequency of dominant alleles (C)

q = frequency of recessive alleles (c) = 0.3

Number of population individua's = 100

Hardy and Weinberg described all the possible genotypes for a gene with two alleles. The binomial expansion representing this is,

p² + 2pq + q² = 1.0

Where, p² = proportion of homozygous dominant individuals (Green)

• q² = proportion of homozygous recessive individuals (White)

2pq = proportion of heterozygotes (Green)

Since, p+ q = 1.0

=>p = 1 - q = 1 - 0.3 = 0.7

=>p = 0.7

The genotypic frequencies are as follows:

CC (p²) = (0.7) = 0.49

Cc (2pq) = 2x(0.3)(0.7) = 0.42

cc (9²) = (0.3)² = 0.09

p² + 2pq + q² = (0.49) + (0.42)+(0.09)= 1.0

The expected number for each genotype are as follows: CC (p²) = (0.49×100) = 49

Cc (2pq) = (0.42×100)= 42

cc(q²) = (0.09×100) = 9

The number of individuals have green hair is as follows: (p²)+(2pq) = 49+42= 91

Thus, required individuals percentage is 91%.

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Answer:

45%

Step-by-step explanation:

None needed <3

The area of the vegetable garden is 16.5 square meters.

You can use the following formula to determine a trapezoid's area:

The trapezoid has a height of 3 meters, a base1 of 4 meters, and a base2 of 7 meters—area = (base1 + base2) * height / 2. When these numbers are put into the formula, we get:

Region = (4 + 7) * 3/2

= 11 * 3/2

= 33/2

= 16.5 square meters

Thusly, the region of the vegetable nursery is 16.5 square meters.

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The profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

To find the profit of each person, we can use the concept of ratios.

First, let's find the total investment made by both Aslam and Akram:
Total investment = Aslam's investment + Akram's investment
Total investment = 27000 + 30000 = 57000

Next, let's calculate the ratio of Aslam's investment to the total investment:
Aslam's ratio = Aslam's investment / Total investment
Aslam's ratio = 27000 / 57000 = 0.4737

Similarly, let's calculate the ratio of Akram's investment to the total investment:
Akram's ratio = Akram's investment / Total investment
Akram's ratio = 30000 / 57000 = 0.5263

Now, we can find the profit of each person using their respective ratios:
Profit of Aslam = Aslam's ratio * Total profit
Profit of Aslam = 0.4737 * 66500 = 31474.5

Profit of Akram = Akram's ratio * Total profit
Profit of Akram = 0.5263 * 66500 = 35025.5

Therefore, the profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

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Answer: x² + 4x +3=0

Step-by-step explanation:

Add 4x to both sides.

The nurse should teach the parents to administer 2.5 teaspoons of the acetaminophen liquid suspension per dose.

The prescribed dosage of acetaminophen is 300 mg every 4 hours as needed. The liquid suspension provides 120 mg of acetaminophen per 5 mL (1 teaspoon). To determine the number of teaspoons required for the prescribed dosage, we can set up a proportion:

120 mg / 5 mL = 300 mg / x mL

Cross-multiplying, we get:

120 mg * x mL = 5 mL * 300 mg

Simplifying, we have

120x = 1500

Dividing both sides by 120, we find:

x = 1500 / 120 = 12.5 mL

Since there are 5 mL (1 teaspoon) in each dose, we can convert 12.5 mL to teaspoons:

12.5 mL / 5 mL = 2.5 teaspoons

Therefore, the nurse should teach the parents to administer 2.5 teaspoons of the acetaminophen liquid suspension per dose to ensure the child receives the prescribed dosage of 300 mg.

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Answer: B

Step-by-step explanation:

To solve this problem, we first need to find the inverse of f(x). Then, you would plug in x=8. To find teh inverse, you switch y with x and x with y, then solve for y.

y=2x+5                     [switch y with x and x with y]

x=2y+5                     [subtract both sides by 5]

x-5=2y                      [divide both sides by 2]

y=(x-5)/2

Now that we have the inverse function, we plug in x=8 and solve.

y=(8-5)/2                  [subtract]

y=3/2

Now, we know that f⁻¹(8)=3/2.

PLLSSS OMGG IM CRYINGG THE LITTLE HATT

The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.

To calculate the proportion of vegetarians to non-vegetarians in Bradley's country, one needs to first assess the amount of vegetarians and non-vegetarians living there.

This can be accomplished through reliance on surveys, census data, or further research methods. By dividing the number of vegetarians in comparison to the total number of both vegetarians and non-vegetarians, one can generate a ratio that reveals this information.

For example, let's say Bradley's country contains 5 million vegetarians among a general population of 50 million people. The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.

Similarly, as Bradley attempts to distinguish appropriate vegetable, meat, and dessert recipes for his cookbook - 10%, 18%, and 42% respectively - he can utilize this same formula. As an example it could be assumed that if there are 150 recipes in total then 15 would incorporate vegetables as part of their contents - 10% out of 150 recipes - while 30% or 27 recipes would idealized around containing meat components as well as 70% or 63 desserts.

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According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.

According to the statement

We have to find that the value of the combination.

So, For this purpose, we know that the

A combination could be a mathematical technique that determines the quantity of possible arrangements in an exceedingly collection of things where the order of the choice doesn't matter.

From the given information:

A red pebble is capable 3 yellow pebbles. A blue pebble is adequate a red pebble and a couple of yellow pebbles. Therefore, the blue pebbles will be:

= 3 yellow pebble + 2 yellow pebbles

= 5 yellow pebbles or 15 red pebbles

And

Two blue pebbles will be:

= 10 yellow pebbles

= 3 red pebbles and 1 yellow pebbles.

So, According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.

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Disclaimer: This question was incomplete. Please find the content below.

Question:

A red pebble is equal to 3 yellow pebbles A blue pebble is equal to a red pebble and 2 yellow pebbles. A green pebble is equal to 3 red pebbles

Using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?

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The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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By evaluating the polynomial, we will see that the sign on the interval [-4, 2] is negative.

Here we have the polynomial:

f(x) = (x - 2)*(x + 4)*(x + 5).

You can see that the roots of the polynomial are at:

x = 2

x = -4

x = -5.

Then, on the interval [-4, 2], the sign of the polynomial don't change. So to get the sign of f(x) on that interval we can just evaluate it in any value of x that belongs to the interval, for example, x = 0.

f(0) = (0 - 2)*(0 + 4)*(0 + 5) = -2*4*5 = -40

With this, we can conclude that the sign of f(x) on the given interval is negative.

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Answer:

always negative

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Because the parts of the circle are congruent, the segments are as well, we can use that to make an equation then solve it like normal

9x-34=4x+1

-1 on both sides

9x-35=4x

-9x on both sides

-35=-5x

x=7

The inequality that represents the possible values for the numbers of hamburguers and tacos purchased is given by:

5.5h + 4t ≤ 35.

We have a maximum amount for the total cost, of 35, hence the inequality is formatted as follows:

T ≤ 35.

The total cost is a function of the number of hamburguers purchased, given by, and the number of tacos purchased, given by t.

To build the function, we have to find the costs of each, given in the text as follows:

Hence the total cost is given by:

T = 5.5h + 4t.

Returning to the inequality given at the beginning of the explanation, it is given by:

5.5h + 4t ≤ 35.

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Answer:

x = $20.40

Step-by-step explanation:

x = cost of 13 glue sticks

4 glue sticks cost $7.76, so to find the cost of 13 glue sticks, you would use the equation:

x = (13/4) * $7.76

or

x = $20.40

Answer: 25%

Step-by-step explanation:

You have a 1/2 chance of landing a heads or tails both times. So, you multiply 1/2 *1/2 = 1/4. 1/4 = 0.25 = 25%.