25 POINTS PLUS BRAINIEST PLEASE

Answer: 290 beans

Step-by-step explanation:

You multiply 145 by 2 since 145 is half of the beans or do 145 divided by 1/2.

145 * 2 = 290.

145/.5 = 290

Hope this helps!!! :)

The polynomial of least possible degree having the graph as given is; f(x) = x³-8x²+x +42.

It follows from the graph that the roots of the polynomial are; -2, 3 and 7.

On this note, the factors of such polynomial are;

Hence; (x+2)(x-3)(x-7) = f(x)

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Answer:

6x^5 + 11x^3 - 12x^2 - 10x + 8

Step-by-step explanation:

(-3x^2 + 2) x (-2x^3 - 5x + 4)

Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.

-3x^2 x -2x^3 = 6x^5

-3x^2 x -5x = 15x^3

-3x^2 x 4 = -12x^2

Now to do 2 x -----.

2 x -2x^3 = -4x^3

2 x -5x = -10x

2 x 4 = 8

Last, but not least, we combine like terms.

6x^5 + 11x^3 - 12x^2 - 10x + 8

Step-by-step explanation:

Proportional = time/cars washed

= 1/3

no. of hours= 90hours

cars washed = 30 cars washed

The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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Answer:

  about 50.8 cubic meters

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = (1/3)πr²h

Put the given values into the formula and do the arithmetic.

  V = (1/3)π(3.4 m)²(4.2 m) = 16.194π m³

__

For π to calculator precision, this is ...

  V ≈ 50.84 m³

For π = 3.14, this is ...

  V ≈ 50.82 m³

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

a. sin(-60) = -(√3/2

cos (-60) = 1/2

b. sin ( 135) = 1/√2

cos (135) = -1/√2

c. sin (390) = 1/2

cos (390) = √3/2

A quadrant is a region defined by the two axes (x-axis and y-axis) of the coordinate system. When the two axes, x-axis and y-axis, intersect each other at 90 degrees, the four regions so formed are the quadrants. These regions include both positive and negative values of x-axis and y-axis, called coordinates.

. In the first quadrant,All the trigonometry functions are positive and in quadrant two, three and four respectively, sine , tan and cos are positive respectively.

sin ( -60) = sin(360-60) = sin 300= -(√3/2)

cos (-60) = cos 300 = 1/2

sin135= sin(180-135) = sin45 = 1/√2 = 1/√2

cos 135 = cos(180-45) = cos45 = -1/√2 ( cos in negative in second quadrant)

sin390 = sin( 360-390) = -sin-(30) = 1/2( sine is negative in fourth quadrant

cos 390 = cos (360-390) = cos(-30) = 1/2( cosine is positive in fourth quadrant).

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The exact values of the cosine and sine of each angle 135 and -390 is 0

To find the exact angles, we can also use the trig identities.

sin(135)    can be written as addition and subtraction angle identity.  Think of 2 angles we can easily find sine and cosine of on a unit circle, and the sum of the angle is 135

290 and 45  work because    45 +90 = 135

Therefore, we have an addition  angle identity.

sin(135) = sin(45 +90)

              = sin(45)cos(90) + cos(45)sin(90)

              = 0.7 * 0 + 0.7*1

               =0.7

sin(135) = 0.7 / 2)

Next, use the identity sin2(x) + cos2(x) = 1  to find cos(135).

cos(135) =  0.7 * 0 * 0.7*1

= 0

However, cosine is negative in the third quadrant, is 0

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The LCD of 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) is (x+2)^2(x-2)^2(x+2)(x-2) = (x+2)^3(x-2)^3.

To find the lowest common denominator (LCD) of three fractions, we need to identify the factors of each denominator and select those factors that are common to all denominators.The given fractions are: 1/ (x+2)^2, 3/ (x-2)^2, and 4/ (x^2-4).

The first denominator (x+2)^2 can be factored using the formula for the difference of two squares. The denominator of 3/(x-2)^2 can also be factored using the formula for the difference of two squares.

Finally, the denominator of 4/(x^2-4) can be factored using the formula for the difference of two squares and the formula for the sum of two squares.

So, 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) can be rewritten as follows:1/ (x+2)^2 = A/(x+2) + B/(x+2)^2. Multiplying both sides by (x+2)^2 gives:1 = A(x+2) + B ... (1)3/ (x-2)^2 = C/(x-2) + D/(x-2)^2.

Multiplying both sides by (x-2)^2 gives:3 = C(x-2) + D ... (2)4/ (x^2-4) = E/(x-2) + F/(x+2). Multiplying both sides by (x^2-4) gives:4 = E(x-2)(x+2) + F(x+2)(x-2) ... (3)

Now, we need to solve these equations for A, B, C, D, E, and F. First, we will solve equation (1) for A and B by substituting x = -2, which gives A = -1/4. Then we will substitute x = -2 again and solve for B, which gives B = 1/4. Next, we will solve equation (2) for C and D by substituting x = 2, which gives C = 3/4.

Then we will substitute x = 2 again and solve for D, which gives D = -3/4. Finally, we will solve equation (3) for E and F by substituting x = 2 and x = -2, which gives E = 1/2 and F = 1/2.

Now, we have A = -1/4, B = 1/4, C = 3/4, D = -3/4, E = 1/2, and F = 1/2. The LCD is the product of all the factors that appear in the denominators of the fractions, each raised to the highest power that appears.

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Answer:

T10=108

Step-by-step explanation:

TN=bn+c

27,36,81=constant difference is 9

Tn=bn+c

Tn=9n+18

T10=9(10)+18

T10=90+18

T10=108.

hope it helps.

Answer: 2.703

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

12 times 1.5 times 3.8

Answer:

y - 5 = 6(x - 7)

Step-by-step explanation:

yes

Answer:

\(y+1=\frac{6}{11}(x+4)\)

The image below shows proof that the point-slope equation \(y+1=\frac{6}{11}(x+4)\) is the correct equation in point-slope form that the line passes through the points (7, 5) and (-4, -1)

Hope this helps! :)

Answer:

A

Step-by-step explanation:

edge

\(Z_{1} +Z_{2}\) represents Point A i.e., 3i.

Complex numbers are the numbers that are expressed in the form of

a + ib where, a, b are real numbers and  ‘i’ is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).

Given

The complex numbers z1 and z2 are graphed.

From the graph,

\(Z_{1} =3+i\)

\(Z_{2} =-3+2i\)

\(Z_{1} +Z_{2}= 3+i+(-3+2i)\)

\(Z_{1} +Z_{2}= 3-3+i+2i\)

\(Z_{1} +Z_{2}= 3i\)

Option A is correct.

\(Z_{1} +Z_{2}\) represent Point A i.e., 3i.

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In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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The algebraic expression for the area is:

A = (2H - 8)*H/2

Here we want to write the expression:

"the area of a triangle that has a base 8 inches less than 2 times wider than the height."

Remember that for a triangle of base B and height H, the area is:

A = B*H/2

So if the base is 8 inches less than 2 times the height, we can write:

B = 2*H - 8

Replacing that in the area equation we get:

A = (2H - 8)*H/2

That is the equation for the area.

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Using the probability table, it is found that:

a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.

b) The expected amount the couple actually has to pay is $36.85.

From the table, the probabilities of each total cost are:

\(P(X = 30) = P(X = 15|Y = 15) = 0.2\)

\(P(X = 35) = P(X = 15|Y = 20) + P(X = 20|Y = 15) = 0.15 + 0.15 = 0.3\)

\(P(X = 40) = P(X = 15|Y = 25) + P(X = 20|Y = 20) + P(X = 25|Y = 15) = 0.05 + 0.15 + 0.05 = 0.25\)

\(P(X = 45) = P(X = 20|Y = 25) + P(X = 25|Y = 20) = 0.1 + 0.1 = 0.2\)

\(P(X = 50) = P(X = 25|Y = 25) = 0.05\)

Item a:

This probability is:

\(P(X \geq 45) = P(X = 45) + P(X = 50) = 0.2 + 0.05 = 0.25\)

There is a 0.25 = 25% probability that this couple spends 45 dollars or more.

Item b:

The expected value is the sum of each outcome multiplied by it's respective probability.

Hence:

\(E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85\)

The expected amount the couple actually has to pay is $36.85.

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Answer:

  D.  75 ft

Step-by-step explanation:

Line DE parallel to line CB makes triangle ADE similar to triangle ACB. This means corresponding sides are proportional:

  DE/AD = CB/AC

  DE = AD×CB/AC = (70 ft)×(225 ft)/(70 ft +140 ft) = (225 ft)/3

  DE = 75 ft

The distance across the lake is 75 feet.

Given that the bond price of 12 $1,000 bonds is $100.75.

With a 6% brokerage fee

Find the total cost to the nearest cent

First, we calculate the 6% brokerage fee,

6/100 × 100.75

= 0.06 x 1

Total cost therefore is the sum of brokerage fee and the cost of bond

= $6.045 + $100.75

= $106.795

To the nearest cent = $106.8

Step-by-step explanation:

3x+4=7x-4

add 7x to each side of equation 4x+3x+-7x=-4x+7x+-7x

combine like terms 7x+-7x=0

4+ -4x =-4 +0

4+-4x= -4

add -4 to each side of equation 4+ -4 +-4x=-4+-4

combine like terms -4 +4=0

0+ -4x = -4+ -4

combine like terms -4+-4=-8

-4x =-8

divide each side by-4

x=2

simplifying

x = 2

Answer:

the room is -1m by 14m

Step-by-step explanation:

what you do to find it is first find x.

the perimeter is 26, and one side is 15 meters longer than the other(twice).

So the equation is:

x + (x + 15) + x + (x + 15) = 26

2x + 2(x + 15) = 26

2x + 2x + 30 = 26

4x + 30 = 26

26 - 4x = 30

26 - 26 - 4x = 30 - 26

-4x = 4

-4x/-4 = 4/-4

x = -1

Now we have two sides of the room. Now we want the 15m longer ones...

-1 + 15 = 14

so the dimensions are -1 by 14, or -1x14

Hope this helps. if this is the best answer, mark Brainliest.

If not, hope it helps anyway.

Answer:

The answer is G = (4,3)

Step-by-step explanation:

G = (4,3)

Therefore, Emily deposited £1573.20 in the account. Therefore, the annual interest rate on this account is 3.1%.

Percent, or percentage, is a way of expressing a number as a fraction of 100. It is often used to represent proportions or rates, particularly in finance, statistics, and science. For example, an interest rate of 5% means that for every $100 borrowed or invested, $5 will be paid as interest. Percentages are denoted with the symbol "%".

Here,

a) To find how much money Emily deposited in the account, we need to find the difference between the amounts in the account after 5 years and 6 years since there was no additional deposit or withdrawal.

Amount after 6 years - Amount after 5 years = Interest earned in 1 year

£1669.80 - £1621.50 = £48.30

Therefore, Emily earned £48.30 in interest in one year.

To find out how much money Emily deposited, we need to subtract the interest from the amount after 5 years:

Amount after 5 years - Interest earned in 1 year = Amount deposited

£1621.50 - £48.30 = £1573.20

b) To find the annual interest rate on this account, we can use the formula:

Interest = Principal × Rate × Time

where Interest is the amount earned in interest, Principal is the amount deposited, Rate is the annual interest rate as a decimal, and Time is the time period in years. In this case, we know that the Principal is £1573.20, the Interest is £48.30, and the Time is 1 year. We can rearrange the formula to solve for the annual interest rate:

Rate = Interest / (Principal × Time)

= £48.30 / (£1573.20 × 1)

≈ 0.031

To express this as a percentage, we multiply by 100 and round to 1 decimal place:

Rate = 0.031 × 100%

≈ 3.1%

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Answer:

116 / 45

Step-by-step explanation:

To add fractions with unlike denominators, we need to find their common denominator.

One way to do this is by finding the least common multiple (LCM) of the denominators.

The LCM of 3, 5, 9 and 15 is 45.

We then convert each fraction so that its denominator is 45:

1/3 = 15/45

3/5 = 27/45

7/9 = 35/45

13/15 = 39/45

Now we can add the fractions:

15/45 + 27/45 + 35/45 + 39/45

To simplify, we can add the numerators and keep the common denominator:

(15 + 27 + 35 + 39) / 45

Which gives us:

116 / 45

Therefore, the sum of the fractions 1/3 + 3/5 + 7/9 + 13/15 is, 116 / 45.

Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

Probability is a measure of the likelihood or chance that a particular event or outcome will occur. It is expressed as a value between 0 and 1, where 0 represents an event that is impossible to occur, and 1 represents an event that is certain to occur.

To solve this problem, we can use the formula for the standard deviation of the sample mean:

Standard deviation of sample mean = standard deviation / √(sample size)

Plugging in the given values:

Standard deviation of sample mean = 7 / √(31)

Next, we can calculate the z-score, which is the number of standard deviations the sample mean is below the population mean:

z-score = (sample mean - population mean) / standard deviation of sample mean

Plugging in the given values:

z-score = (141.5 - 145) / (7 / √(31))

Using a calculator, we find that the z-score is approximately -2.22.

Finally, we can use a standard normal distribution table or a calculator to find the probability that a z-score is less than -2.22.

Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

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Step-by-step explanation:

one foot cost 3 so a fourth of one foot is one fourth of three which is .75 and .75 x 3 is 2.25

The sample of given data is Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10

b)Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10

(a) An example of data with SS(between) = 0 and SS(within) > 0 could be the following:

Sample 1: 1, 2, 3, 4, 5

Sample 2: 6, 7, 8, 9, 10

Sample 3: 11, 12, 13, 14, 15

In this example, the means of each sample are all different from each other, but the grand mean (8) is equal to the mean of each sample. Therefore, there is no variability between the means of the samples, resulting in SS(between) = 0. However, there is still variability within each sample, resulting in SS(within) > 0.

(b) An example of data with SS(between) > 0 and SS(within) = 0 could be the following:

Sample 1: 1, 2, 3, 4, 5

Sample 2: 6, 7, 8, 9, 10

Sample 3: 11, 12, 13, 14, 15

In this example, the means of each sample are all the same (8), but the values within each sample are all different from each other. Therefore, there is variability between the means of the samples, resulting in SS(between) > 0. However, there is no variability within each sample, resulting in SS(within) = 0.

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Answer:

Domain :  0 ≤ t ≤ 3

Range :   -4 ≤ d ≤ 0

Step-by-step explanation:

The graph attached models the depth of submarine as a function of time.

Points on x-axis represent the time and points on y-axis represent increase in height of the submarine.

Domain of a function is represented by the points on x-axis.

Therefore, Domain :  0 ≤ t ≤ 3

Range of function is represented by te points on y-axis.

Therefore, Range :   -4 ≤ d ≤ 0

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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