Find the next number in the sequence: 10, 37, 82, 145, 226,

Answer:

y + 6 = -1/2(x-3)

Step-by-step explanation:

let me know if you want an explanation

Answer:

(life span - age when he started reading)/5months =number of books he read

Step-by-step explanation:

(life span - age when he started reading)/5months =number of books he read

multiply the actual length by the scale:

9 x 1/12 = 9/12 = 3/4

Answer: 3/4

Answer:

2400 liters in tank

Step-by-step explanation:

Company A would take 260 minutes more than Company B for filling 2400 liters of water in Anil's tank when the rate at which Company A fills is 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.

Rate is the ratio of quantity to time.

[tex]RATE = \frac{QUANTITY}{TIME}[/tex].

In the question, we are asked to find the time which Company A takes more than Company B for filling a water tank of 2400 liters when Company A fills water at a rate of 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.

For Company A:

The capacity of the tank = 2400 liters

Rate = 8 liters in 1 minute and 40 seconds

Now, 1 minute and 40 seconds = 1 + 40/60 minutes = 1.67 minute

Therefore, the actual rate = 8/1.67 = 4.8 liters per minute.

Therefore, the time taken by Company A = 2400/4.8 minutes = 500 minutes.

For Company B:

The capacity of the tank = 2400 liters.

We know 1 gallon = 4.54 liters,

or, 1/4.54 gallons = 1 liter.

Therefore, the capacity of the tank = 2400 * (1/4.54) gallons = 528.634 gallons.

Rate = 2.2 gallons per minute.

Therefore, the time taken by Company B = 528.634/2.2 minutes = 240.288 minutes.

Therefore, the time that Company A takes more than Company B = 500 - 240.288 minutes = 259.712 minutes ≈ 260 minutes.

The given question is an incomplete question. The complete question is:

"A water tank is empty.

Anil needs to fill the tank with 2400 liters of water.

Company A supplies water at a rate of 8 liters in 1 minute and 40 seconds.

Company B supplies water at a rate of 2.2 gallons per minute.

1 gallon = 4.54 liters.

Company A would take more time to fill the tank than Company B would take to fill the tank.

How much more time?

Give your answer in minutes correct to the nearest minute."

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A die is tossed twice and a number of dots facing up in each toss are counted and noted in the order of occurrence.

a) The sample space is given as:

Sample Space (S)= {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5),(2,6),(3,1),(3,2),(3,3)(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1)(5,2)(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),c),(6,6)}.

A sample space is a collection of a set of possible outcomes of a random experiment. The sample space is represented using the symbol S.

b) the set corresponding to the event number of dots in the first toss is not less than the number of dots in the second toss.

{(6,6),(6,5)(6,3)(6,2)(6,1)(6,4),(5,1)(5,2)(5,3),(5,4),(5,5),(4,1),(4,2),(4,3),(4,4),(3,1),(3,2), (2,1), (2,2),(1,1)}

c) find the set b corresponding to the event number of dots in the first toss is 6.

{(6,1),(6,2),(6,3),(6,4),c),(6,6)}.

e) a does not imply b or does b imply a.

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The confidence interval estimates that the confidence interval limits contain 0., suggesting that the garlic treatment did not affect the LDL cholesterol levels.

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95 percent confidence level is the most common, but other levels, like 90 percent or 99 percent, are occasionally used when computing a confidence interval.

Given in a test of effectiveness of garlic for lowering cholesterol, 50 subjects were treated with garlic in a processed tablet form.Both before and after the therapy, cholesterol levels were assessed.

LDL cholesterol variations had a mean of 4.4 and a standard deviation of 19.4 (in mg/dL). The best point estimate is 4.4.

We have to find 95% confidence interval estimate of the population mean

So,

x-bar = 4.4

ME = 1.96 = 5.27

H: no difference

Ha: is a difference

We fail to reject H since 0 is in the CI.

Hence the confidence interval estimates that the confidence interval limits contain 0., suggesting that the garlic treatment did not affect the LDL cholesterol levels.

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Answer:

The square root of 36 is a rational number. A rational number is a number that can be written as a fraction, a/b, where a and b are integers.

Answer:

Step-by-step explanation:

Hi, let me help you out.

The square root of 36 is 6.

6 belongs to the following subsets.

Overall, 6 belongs to 4 sub-sets.

__________________

Hope I helped! Best wishes.

___________________

Answer:

Answer:

x = 12

Step-by-step explanation:

m∠S + m∠T = 180

8x + 7x = 180

15x = 180

x = 12

does this help?

Answer:

8530

Step-by-step explanation:

The remainder is 5⁵ + 2(5)⁴ + 9(5)³ - 6(5)² + 3(5) + 3165 = 8530

The value of x that fills the coordinate are 7 or -5

The formula for calculating the distance between two points is expressed as:

D = √(x2-x1)² +(y2-y1)²

Substitute the given coordinates

10 = √(15-7)² +(1-x)²

100 = 8²  +(1-x)²

(1-x)² = 100 - 64

(1-x)² = 36

1- x = -6

x = 7 or -5

Hence the value of x that fills the coordinate are 7 or -5

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Complete question

If the distance between two points (x, 7) and (1, 15) is 10, find the value of x.

The rate of change of the function over the interval [ 4, 8 ] will be 6.

The rate of change function represents the rate at which one quantity changes in relation to another. Simply put, the rate of change is the difference between the amount of change in one item and the comparable amount of change in another.

Given function:-

The formula for calculating the rate of change will be given as:-

[tex]ROC = \dfrac{F(x_2)-F(x_1)}{x_2-x_1}[/tex]

We have x₁ = 4 and x₂ = 8 given in the question

F(x₂) =  x²₂ - 6x₂ + 10 = (8)² - ( 6 x 8 ) + 10 =

F(x₂) = 64 - 48 + 10

F(x₂) = 26

F(x₁) =  x²₁ - 6x₁ + 10 = (4)² - ( 6 x 4 ) + 10 =

F(x₁) = 16 - 24 + 10

F(x₁) = 2

[tex]ROC = \dfrac{F(x_2)-F(x_1)}{x_2-x_1}[/tex]

[tex]ROC = \dfrac{26 -2}{8-4}=\dfrac{24}{4}=6[/tex]

Therefore the rate of change of the function over the interval [ 4, 8 ] will be 6.

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The average rate of change for the height of the plant measured in centimeters per day between day 0 and day 20 is 1.32 cm per day.

The average height is the ratio of change in height of the plant and the time taken taken for that change.

Given is the height of a plant in centimeters is modeled as a function of time, in days.

For day 0, the height is 18cm and the height for day 20 is 42 cm, then the average height change is

height per day = 42 - 18/ 20 -0

height per day  = 1.2 cm/day

Thus, the average height of plant is  1.2 cm/day.

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umm....... I think it was exactly 2 head

Answer:

26.2 feet

Step-by-step explanation:

tan(50°) = h/22

h = 22 × tan(50°) = 26.2 feet

Answer:

1 1/2

Step-by-step explanation:

Convert both fractions into decimals

⇒ 3/4 (0.75) and 1/2 (0.50)

Divide the decimals:

⇒0.75 ÷ 0.50

Find the quotient

⇒ 1.5

Convert the quotient to a fraction

⇒ 1 1/2

Terms:

Operations with fractions

Answer:

D. x^6 - x + √6

Step-by-step explanation:

Last option:

⇒  x^6 - x + √6

Cannot be simplified further and has three terms.

Therefore is a trinomial.

The algebraic expression that is a trinomial is 2x³-x².

An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

A trinomial is a polynomial that has three terms.

In the given options, the only expression that has three terms is "2x³-x²". It has the terms 2x³, -x², and 0x (which is often omitted).

The other options have different numbers of terms or they have terms with fractional or radical exponents, which do not fit the definition of a trinomial.

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1200 pounds of protein supplement and 600 pounds of standard protein is used.

Let a be the protein supplement and b be the standard protein.

Given that protein supplement and standard protein make 1800 pounds of high grade protein.

i.e., a+b = 1800 ------- (1)

45% a + 15% b = 35% 1800

0.45a + 0.15b = 1800 (3.5)

By (1), a = 1800 - b

Substituting, we get

0.45 (1800-b) + 0.15b = 630

810 - 0.45 b + 0.15b = 630

- 0.3 b = - 180

b = -180/-0.3

b = 600

Substituting b = 600 in (1),

we get

a = 1200.

Hence, 1200 pounds of protein supplement and 600 pounds of standard protein is used.

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Using proportions, considering the relation between the height and the shadow, it is found that the cell phone tower is 50 feet.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

When the shadow is of 8 feet, the height is of 10 feet. What is the height when the shadow is of 40 feet? The rule of three is:

8 feet - 10 feet

40 feet - h feet

Applying cross multiplication:

8h = 10 x 40

Simplifying by 8:

h = 10 x 5 = 50 feet.

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The expanded expressions are shown below:

Perfect square trinomials are polynomials of grade 2 with the form (a + b)² = a² + 2 · a · b + b². In this case, we have to expand six perfect square trinomials:

a) (x + 1)² = x² + 2 · x + 1

b) (x - 3)² = x² - 6 · x + 9

c) (x + 4)² = x² + 8 · x + 16

d) (x - 1/2)² = x² - x + 1/4

e) 3 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75

f) (1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2

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Answer:

log_{b} (5b) = 2.609

Given that:

log_{b} (3) = 1.099

log_{b} (5) = 1.609

Evaluating with that:

[tex]\sf log_b (5b) = log_b\left(5\right)+log_b\left(b\right)[/tex]

            [tex]= \sf 1.609 + 1[/tex]

             [tex]= \sf 2.609[/tex]

Rule Used:

[tex]\rm \log _a\left(xy\right)=\log _a\left(x\right)+\log _a\left(y\right)[/tex]

Answer:

-16, 16, 16

Step-by-step explanation:

1) -16

2) 16

3) 16

We will see that we have a shift of 9 units to the left and 6 units upwards

For any given function H(x), we define a vertical shift of N units as:

g(x) = H(x) + N.

While a horizontal shift is written as:

g(x) = H(x + N).

Here we know that:

f(x) = 3*|x + 9| + 6

If the original function was:

H(x) = 3*|x|

Then we can write:

f(x) = H(x + 9) + 6

So we have a shift of 9 units to the left and 6 units upwards.

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Answer:

32

(this is just an approximation due to the left triangle)

Answer: [tex]x=\frac{c-k}{8}[/tex]

Step-by-step explanation:

[tex]1) \text { } 8x+c=k \text{ (given)}\\\\2) \text { }8x=c-k \text{ (subtract } k \text{ from both sides)}\\\\3) \text { } \boxed{x=\frac{c-k}{8}} \text{ (divide both sides by 8)}[/tex]

Answer:

y= 5x+165

Step-by-step explanation:

the slope is 5, so five per day, plus the y-intercept, or when x = 0

Brainliest pls

Answer:

in picture

Step-by-step explanation:

added in the picture

Answer: A) 51%

Step-by-step explanation:

We can estimate the percentage of pass completions by rounding both values. While estimation does not give an exact answer it will give one that is close.

38 rounds up to 40 and 79 rounds up to 80.

Now it is easier to divide.

40/80=1/2

1/2=50%

The closest answer to 50% is 51% which must be the answer.

Answer:

A)

Step-by-step explanation:

Smaller angle = 50
Larger angle = 130

Let smaller angle be x degree

=> larger angle= [tex]3x - 20[/tex]

Since these angles are supplementary , So

[tex]= > x + 3x - 20 = 180\\= > 4x = 200\\= > x = 50\\= > 3x - 20\\ = > 150 - 20 = 130[/tex]

So smaller angle would be 50 deg & larger angle would be  130 deg.

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Answer: 54%

Step-by-step explanation:

You will need to divide these numbers.

[tex]6/11=0.54[/tex]

After you divide that, simplify that to a percentage by multiplying it by 100.

[tex]0.54 *100=54%[/tex]%

I hope this helps!!