How many seconds equals 54 minutes

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

Answer:

A) (-9/7,0), (3/8,0)

Step-by-step explanation:

Zeros of a quadratic function:

x for which y = 0.

In this question:

\(y = 6(7x + 9)(8x - 3)\)

It's 0 if one of the factors is 0. 6 is never 0, now about the other to:

\(7x + 9 = 0\)

\(7x = -9\)

\(x = -\frac{9}{7}\)

So (-9/7, 0) is a zero of the quadratic function.

The other is:

\(8x - 3 = 0\)

\(8x = 3\)

\(x = \frac{3}{8}\)

(3/8,0) is the other zero.

Thus, the correct answer is given by option A.

The event that has a theoretical probability of exactly Three-fourths include:

A. not picking a square

D. picking a shape that has only straight edges

E. not picking a circle

The theoretical probability is defined as the proportion of favorable outcomes to possible outcomes. The theory of probability is the science of probability.

The sample space of an object determines theoretical probability. The probability of rolling a 3 on a fair die, for example, is 1/6. This is because the number 3 represents one of the six possible outcomes of rolling a fair die

Therefore, based on the information given, it should be noted that the correct options are A, D and E.

This equation is written as follows: Theoretical Probability = the number of favorable outcomes divided by the total number of possible outcomes.

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Answer:

(viii) 116 ± 2.78 x 14.4√5

Step-by-step explanation:

The given data is

Sample size =n= 5

Calculated t- value= 2.4837

Mean= 116

Standard deviation= sd= 14.40486

The t - value from table with 4 d.f for ∝/2 is  t∝/2 (n-1)= 2.776

The 95% confidence interval is calculated by

d` ± t∝/2 (n-1)  *sd/√n

Putting the values

116 ± 2.776* 14.40486/√5

Comparing these values with the options Part viii gives the best answer.

(viii) 116 ± 2.78 x 14.4√5

2.776 when rounded gives 2.78 and 14.40486 when  rounded gives 14.4

The rest are incorrect.

Answer:

2.4x-4.4

Step-by-step explanation:

0.3(4x-8)-0.5(-2.4x+4)

DISTRIBUTE: 1.2x-2.4+1.2x-2

COMBINE LIKE TERMS: 2.4x-4.4

your answer is: 2.4x-4.4

a) A negative number on the x-axis (-a, b) would move in the left direction by one unit.

To find out why, check point (0, b) on the y-axis and point (-a, b) on the x-axis.

The distance between these two points is a unit, meaning that the point (-a, b) is one unit to the left of the point (0, b).

b) A positive number on the x-axis (+a, b) would move in the right direction by a unit.

Again, let's look at the point (0, b) on the y-axis and the point (+a, b) on the x-axis.

The distance between the two points is also one unit, which means the point (+a, b) is one unit to the right of the point (0, b).

c) A negative number on the y-axis (a, -b) would move in the downward direction by b units.

Assume that point (a, 0) is on the x-axis and point (a, -b) is on the y-axis. The distance between them is b units, which means that the point (a, -b) is b units below the point (a, 0).

d) A positive number on the y-axis (a, +b) would move in the upward direction by b units.

Also, check the point (a, 0) on the x-axis and point (a, +b) on the y-axis. The distance between these two points is b units, which means that the point (a, +b) is b units above the point (a, 0).

A number is a mathematical term used to show the quantity or value of a thing. It can be depicted using numerals, symbols, or words.

Examples include 30, hundred, -8, 6x, "5", 0.67, etc.

Numbers can be Positive - numbers greater than zero, or negative - numbers less than zero.

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Answer:

The picture where the red image is the skinniest

Step-by-step explanation:

The graph P(x) denotes the graph of the parent graph for all the functions. And, It includes the vertex of (0,0) and points which are shown below:

x      f(x)

-2      2

-1       1

0       0

1         1

2       2

Now as we can see in the attached figure i.e it changed the function points i.e given below for l(x) = 12P(x)

x      f(x)

-2      24

-1        12  

0        0

1        12

2       24

This depicts that it has a skinner graph that includes redish graph

Step-by-step explanation:

The bisection method is a root-finding algorithm that repeatedly bisects an interval and then selects a subinterval in which a root must lie for further processing. To apply the bisection method to the equation x^3 - x - 9 = 0, you need to find two initial values a and b such that f(a) and f(b) have opposite signs. This means that there is at least one root of the equation in the interval [a, b].

Let’s take a = 2 and b = 3 as our initial interval. We can see that f(2) = 2^3 - 2 - 9 = -1 and f(3) = 3^3 - 3 - 9 = 18, so f(a) and f(b) have opposite signs.

Now we can apply the bisection method as follows:

Calculate the midpoint c = (a + b)/2 = (2 + 3)/2 = 2.5.

Evaluate f© = 2.5^3 - 2.5 - 9 ≈ 5.625.

Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.

Calculate the new midpoint c = (a + b)/2 = (2 + 2.5)/2 = 2.25.

Evaluate f© ≈ 1.765625.

Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.

We can continue this process until we reach the desired level of accuracy.

The value of angle BDE is   86⁰.

option D.

The value of angle BDE is calculated by by applying the following method as shown below;

line OJ = line OB = radius of the circle

∠ OBJ = ∠ OJB = 47⁰

∠ JOB = 180 - ( 47 + 47 ) = 86⁰

∠ OBD = ∠ OED = 90⁰

The angle at the center, ∠ EOB =  ( 47 + 47 ) = 94⁰

The required angle BDE is calculated as follows;

∠BDE + ∠OBD + ∠ OED  + ∠ EOB = 360 ( sum of angles in a quadrilateral)

∠BDE + 90 + 90 + 94 = 360

∠BDE + 274 = 360

∠BDE = 360 - 274

∠BDE = 86⁰

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Answer:

D. Bimodal

Explanation:

The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is

D. Bimodal.

Answer:

that's too easy

4 thousands=4000

12 hundreds=120

4000+120=4120

4 thousands and 12 hundreds

A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.

(i) The exponential function that models the decay of the substance is given by:

\(N(t) = Noe^(-0.088t)\)

(ii) If \(400g\) of the substance is present at to, then  \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:

\(N(3) = 400e^(-0.0883) = 309.21g\)  (rounded to two decimal places)

(iii) The rate of change of the amount of the substance after 3 days is given by:

 \(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)

(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:

\(N(t) = 0.5No\)

\(0.5No = Noe^(-0.088t)\)

\(0.5 = e^(-0.088t)\)

\(ln(0.5) = -0.088t\)

\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)

Therefore, after  \(7.89\) days, half of the original  \(400g\) of the substance will remain.

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The red dot on the graph is (2, -8)

The jumper is in free fall for 7.07 s if the parachute is opens at 1000 ft

The jumper is in free fall for 7.29 s if the parachute is opens at 950 ft

The reasonable domain for the function h is

0 ≤ t ≤ 10

The reasonable range for the function h is

0 ≤ h ≤ 1800

The duration of free fall is calculated using the given function

h = -16t² + 1800

the parachute is opens at 1000 ft

h = -16t² + 1800

1000 = -16t² + 1800

16t² = 1800 - 1000

16t² = 800

t² = 800 / 16

t² = 50

t = √50

t = 7.07 s

the time at this situation is 7.07s

the parachute is opens at 950 ft

h = -16t² + 1800

950 = -16t² + 1800

16t² = 1800 - 950

16t² = 850

t² = 850 / 16

t² = 53.125

t = √53.125

t = 7.2887 s

the time at this situation is 7.29s

reasonable domain

minimum t = 0

for maximum t, h = -16t² + 1800 = 0

16t² = 1800

t = 10.61

0 ≤ t ≤ 10

the reasonable domain is 0 ≤ t ≤ 10

reasonable range

h = -16t² + 1800

at t = 0, h = 1800

at t = 10.606, h = 0

0 ≤ h ≤ 1800

the reasonable range is 0 ≤ h ≤ 1800

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Answer:

250 - 6 - 3n

Step-by-step explanation:

Let n equal the number of students.

Answer:

b=–2

Step-by-step explanation:

we've got:

(3+bx)⁵===> b⁵x⁵+15b⁴x⁴+90b³x³+720b²x²+405bx+243

and we've also got the coefficient of x³ as –720

90b³=–720===> b³=–8===> b=–2

Answer:

42+ 36w

Step-by-step explanation:

You multiple all numbers in the parenthesis with the number directly outside of it. 6x6=36(w) and 7x6=42. You cant simplify any further.

Answer: 1,2 and 4

Step-by-step explanation:

factors of 12 are :  1,2,3,4,6,12

factors of 28 are :1,2,4,7,14,28

commom  factors are= 1,2,4

Answer:

In fraction: -9/22

In decimal: -0.409 with repeating over the 09

Step-by-step explanation:

The inequality that can be used to determine x, the number of outfits Tamika can purchase is; 539.63+ 52.93x ≤ 800

The given parameters are:

Budget = $800

New bicycle = $482.62

3 bicycle reflectors = $10.84 each

Pair of a bike gloves = $24.49.

New biking outfits = $52.93each.

Let the number of new biking outfits be x So, we have;

New bicycle + 3 . price of bicycle reflectors + Pair of a bike gloves + New biking outfits <= Budget

This gives;

482.62 + 3( 10.84) + 24.49+ 52.93x ≤ 800

This gives;

539.63+ 52.93x ≤ 800

Solve the inequality;

52.93x ≤ 260.37

Divide by 52.93

x ≤  4.91

Hence, the inequality is 539.63+ 52.93x ≤ 800

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128 Bales of hay

Step-by-step explanation:

Take 64 and multiply it by 2 since 4 is half of 8 and 2 is double which make 64 so the answer is 128

X 2

___

128

Answer:

The answer is answer choice E.

Step-by-step explanation:

Complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees

Answer:

6

Step-by-step explanation:

14-4=10+2=12-6=6+6=12

Answer:

(x2+1)(x+1)(x−1)

Step-by-step explanation:

Thats the answer

Answer:

 0

Explanation:

Given expression:

\(\sf 6 - (1 \times 4) -2\)

Use BODMAS method:

brackets, order, division, multiplication, addition, subtraction

First simplify variables inside brackets

\(\sf 6 - (4) -2\)

Then simply use subtract integers

\(\sf 0\)

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's get it done using Bodmas Rule ~

\(\qquad \sf  \dashrightarrow \: 6 - (1 \times 4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - (4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - ( 4 + 2)\)

\(\qquad \sf  \dashrightarrow \: 6 - 6\)

\(\qquad \sf  \dashrightarrow \: 0\)

We will get the end result 0, on simplification ~

The values of the two integers are -43 and -143.

Let the value of the smaller integer be "x".

Since, the sum of two integers is -186.

Smaller integer + Larger integer = -186

x + ( 3x - 14 ) = -186

Solve for x

x + 3x - 14 = -186

4x - 14 = -186

4x = -186 + 14

4x = -172

x = -172/4

x = -43

Hence;

The smaller integer = x = -43

The largere integer = 3x - 14 = 3(-43) - 14 = -143.

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Hey there! I'm happy to help!

The percent in the problem is 60% (as it has a percent time).

The base is the number we start with, so it is 485.

The amount is the percent of the base. As a decimal, 60% is 0.6. So, we just multiply this by 485.

0.6×485=291

Therefore, the amount is 291.

AMOUNT: 291

BASE: 485

PERCENT: 60%

Have a wonderful day! :D

Answer:

''0 is neither a rational number nor an irrational number.''

Step-by-step explanation:

Zero is a rational number. Zero can be written as a fraction, where p/q = 0, where p = 0 and q is any non-zero integer. Hence, 0 is a rational number.