can someone answer this? 15x3y2 – 30xy and this? 4x5 – 8x4 – 4x3?

Answer:

f(x) = 4x² + 48x + 149

Step-by-step explanation:

Given

f(x) = 4(x + 6)² + 5 ← expand (x + 6)² using FOIL

     = 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4

     = 4x² + 48x + 144 + 5 ← collect like terms

     = 4x² + 48x + 149 ← in standard form

Answer:

\(f(x)=4x^{2} +149\)

Step-by-step explanation:

Start off by writing the equation out as it is given:

\(f(x)=4(x+6)^{2} +5\)

Then, get handle to exponent and distribution of the 4 outside the parenthesis:

\(f(x)=4(x^{2} +36)+5\\f(x)=4x^{2} +144+5\)

Finally, combine any like terms:

\(f(x)=4x^{2} +149\)

The volume of the candle is approximately 94 cubic inches.

A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Where

Substituting the given values into the formula, we get:

V = 3.14 x 2² x 7.5

V = 3.14 x 4 x 7.5

V = 94.2

Rounding to the nearest cubic inch, we get:

V ≈ 94 cubic inches

Therefore, the volume of the candle is approximately 94 cubic inches.

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The measure of the smallest interior angle of the triangle can be found by using the fact that the sum of the measures of the interior and exterior angles of a triangle is always 180 degrees.

Since the exterior angles are in the ratio 3:4:5, we can assign variables to the angles and set up equations to solve for their measures.

Let's assume the measures of the exterior angles are 3x, 4x, and 5x, where x is a common factor. According to the property of the exterior angles of a triangle, we have the equation 3x + 4x + 5x = 360 degrees, since the sum of all three exterior angles is 360 degrees. Simplifying this equation, we get 12x = 360 degrees, which leads to x = 30 degrees. Substituting this value back into the ratios, we find that the measures of the exterior angles are 90 degrees, 120 degrees, and 150 degrees, respectively. Since the sum of the interior and exterior angles is always 180 degrees, the smallest interior angle is 180 - 90 = 90 degrees.

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For the given principal amount $5,400 borrowed by a farmer from the bank at the rate of interest 7.36% compounded annually for the time period of 1 year then the amount of interest paid to the bank is equal to $397.44 and the effective interest rate is equal to 7.36%.

As given in the question,

Principal amount borrowed by a farmer from the bank 'P' = $5,400

Rate of interest compounded annually 'r' = 7.36%

Time period 'n' = 1 year

Amount = P [ 1 + (r/100) ]ⁿ

             = 5400 [ 1 + (7.36/100) ]¹

             = 5400 [ (100 + 7.36)/100]

             = 54 × 107.36

             = 5797.44

Amount of Interest paid to the bank = Amount - Principal amount

                                                            = 5797.44 - 5400

                                                            = $397.44

x = number of times compounding occurs in one year.

Here 'x' = 1

Effective Interest rate = [ 1 + (r/x) ]ˣ -1

                                    = [ 1 + ( 7.36%/1)]¹ -1

                                    = 1 + 7.36% - 1

                                    = 7.36%

Therefore, for the given principal amount $5,400 borrowed by a farmer from the bank at the rate of interest 7.36% compounded annually for the time period of 1 year then the amount of interest paid to the bank is equal to $397.44 and the effective interest rate is equal to 7.36%.

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The functions give g(-7) = -604.

Given the function \(g(x) = -11x^2 + 8x - 9\), we are asked to find g(-7).

To do this, we substitute -7 for x in the function and simplify:

\(g(-7) = -11(-7)^2 + 8(-7) - 9\)

g(-7) = –11(49) - 56 - 9

g(-7) = –539 - 65

g(-7) = -604

Therefore, g(-7) = -604.

Therefore, g(-7) = -604.This means that if we plug in x = -7 into the function g(x), the output will be -604. In other words, the point (-7, -604) is on the graph of g(x).

To fully understand the behavior of g(x), we would need to analyze its graph or compute more values of g(x) for different values of x.

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The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.

To calculate the effective interest, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (including interest)

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of compounding periods per year

t = the number of years

In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.

Plugging the values into the formula:

A = £2000(1 + 0.03/4)^(4*4)

= £2000(1 + 0.0075)^16

= £2000(1.0075)^16

≈ £2000(1.126825)

Calculating the future value:

A ≈ £2253.65

To find the effective interest, we subtract the principal amount from the future value:

Effective Interest = £2253.65 - £2000

≈ £253.65

Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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-------------

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

the answer is 36 square meters since this is the proper way to phrase this answer but if you do say it the other way people will now what u are talking about

The surface area of the triangular prism is 136 cm square.

The surface area of a triangular prism can be found as follows;

Therefore,

surface area of a triangular prism = (perimeter of the triangle × height of prism) + (2 × base area)

Hence,

perimeter of the triangle = 5 + 5 + 6

perimeter of the triangle = 16 cm

height of prism = 7 cm

base area = 1 / 2 bh

base area =  1 / 2 × 4 × 6

base area = 24 / 2

base area = 12 cm²

Therefore,

surface area of a triangular prism = (16 × 7) + (2 × 12)

surface area of a triangular prism = 112 + 24

surface area of a triangular prism = 136 cm²

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Answer:

1st: False

2nd: True

Step-by-step explanation:

Note:
The similarity ratio of two triangles can only be determined if the corresponding side lengths are in proportion.

If only the angles are given, then there is no way to know the lengths of the sides, and therefore the similarity ratio cannot be determined.

For 1st question:

Sides are not given,

So, the answer is False.

For 2nd question:

Sides are given,

\(\triangle XYZ \sim \triangle ABG\)

\(\frac{XY}{AB}=\frac{4}{2}=\frac{2}{1}\)

\(\frac{YZ}{BG}=\frac{3}{1.5}=\frac{2}{1}\)

\(\frac{XZ}{AG}=\frac{5}{2.5}=\frac{2}{1}\)

Since all the sides length are proportional.

So, the answer is True.

Answer:

B) 203 grams

Step-by-step explanation:

19.4 * 1.308 = 25.3752

25.3752 * 8 = 203.0016

Let original amount be x

\(\\ \tt\Rrightarrow 0.33x=18.5\)

\(\\ \tt\Rrightarrow x=18.5/0.33\)

\(\\ \tt\Rrightarrow x=56.06oz\)

\( \huge \sf \dag Answer : \)

suppose, x = lots of cereal now.

\(\longmapsto \rm 33\%y = 18.5ounces\)

\(\longmapsto \rm y = \frac{18.5ounces}{33\%}\)

\(\longmapsto \rm y = \boxed{\bold{56.06ounces}}\)

The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.

Given parallelogram A B C D below, DE = 31 If EB = x - 7.

By the definition, then the equation is given as,

EB = DE

x - 7 = 31

Simplify the equation, then we have

x - 7 = 31

x = 31 + 7

x = 38

The value of the variable 'x' is 38.

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Answer:

the answer is -4,-3

Step-by-step explanation:

once you translate it across the y axis it is -4,3 and then it asks you to go down six so then its -4,-3

Solving problems involving normal proportions requires careful attention to detail, as well as a good understanding of statistical concepts such as standardization and probability.

When solving a problem where you want to find normal proportions, you can follow the following steps:

Define the problem: Clearly define the problem you are trying to solve, including any relevant details such as the population, sample size, and the variable of interest.

Check assumptions: Check if the conditions for using normal distributions are met. The data should be continuous, the sample size should be large enough, and the distribution should be approximately normal.

Calculate the sample mean and standard deviation: If you are working with a sample, calculate the sample mean and standard deviation.

Standardize the data: Convert the data into standard normal distribution, by subtracting the mean from each observation and dividing by the standard deviation.

Determine the probability: Once the data has been standardized, you can use a standard normal distribution table or a calculator to determine the probability of the variable falling within a certain range or above/below a certain value.

Interpret the results: After determining the probability, interpret the results in the context of the problem. For example, you might conclude that there is a 95% chance that a randomly selected observation falls within a certain range, or that the variable of interest is higher than a certain value in 5% of cases.

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Answer:

YOU CHEAT ON QUIZ

Step-by-step explanation:

WHY YOU CHEAT BAD

The graph of the equation x^2/49 + (y + 1)^2/4 = 1 is added as an attachment

The expression that represents the function in words is given as

StartFraction x squared Over 49 EndFraction + StartFraction (y + 1) squared Over 4 EndFraction = 1

Express the equation properly

So, we have

x^2/49 + (y + 1)^2/4 = 1

The above equation is an ellipse

Next, we plot the graph on a coordinate plane using a graphing tool

See attachment for the graph of the equation

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Answer:

Answer is 39

Step-by-step explanation:

Answer:

146

Step-by-step explanation:

hope it helps

The cosine of 45 degrees is √2 / 2.

In a 45-45-90 triangle, the two legs are congruent and the hypotenuse is √2 times the length of each leg. The angles of a 45-45-90 triangle are 45 degrees, 45 degrees, and 90 degrees.

To find the cosine of 45 degrees, we can use the definition of cosine in a right triangle, which is defined as the ratio of the adjacent side to the hypotenuse. In a 45-45-90 triangle, the adjacent side and the hypotenuse are the same length.

Since the side lengths of a 45-45-90 triangle are in the ratio 1:1:√2, let's assume the length of one leg is x. Then, the length of the other leg is also x, and the length of the hypotenuse is √2x.

Now, let's consider the cosine of 45 degrees:

cos(45 degrees) = adjacent side / hypotenuse

= x / √2x

= 1 / √2

To simplify the expression, we can multiply both the numerator and the denominator by √2:

cos(45 degrees) = (1 / √2) * (√2 / √2)

= √2 / 2

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Answer: 400 calories per hour

Step-by-step explanation:

Q: Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours. If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?

Expalanation: It is seen from the graph that her rate of burning calories increased to 1200 in the first three hours of riding and then remained constant for the rest of the period (2 extra hours).

Her rate of calorie use therefore would be given as: (total calorie used up) / (total hours spent riding for the period of usage)

This is given as: 1200 calories / 3 hours = 400 calories per hour.

Step-by-step explanation:

Her father is 34 years old

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If Lines l and m are parallel and line t is transversal, then the given pairs are :

Answer:

16 Tons

Step-by-step explanation:

Answer:

$58,194

Step-by-step explanation:

9,699 × 6 = 58,194

Answer:

58,194

Step-by-step explanation:

Answer:

Step-by-step explanation:

Noah- 4 1/6 miles/hour

Emily- 8 1/10 miles/hour

Anna- 3 1/2 miles/ hour

Emily ran the quickest.

Answer:

Anna was the fastest.

Step-by-step explanation:

Following are the steps we take to determine each one's speed:

speed=distance/time

Noah went 4 1/6 miles an hour, Emily went 4 1/2 miles an hour, and Anna went 5 5/9 miles an hour. Therefore, Anna was the fastest.

Answer:

vfssfdgddedt

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

f = (N² - H)/6

Step-by-step explanation:

Step 1: Write equation

N² = 6f + H

Step 2: Solve for f

The number of ways we can make team if Steve and Danny insist on playing on opposing teams will be 70.

We have,

Total number of team = 01,

And,

Total number of players = 10,

And,

Have to divide team in group of two of 5 player each,

So,

Now,

According to the question,

Number of players left after having Denny and Steve on opposing sides = 10 - 2 = 8

Now,

As Denny and Steve on opposing sides,

So,

i.e. n = 8,

And

r = 4

The number of ways team can be arranged will be ⁸C₄, i.e. using Combination formula,

i.e.

\({^n}C_{r}=\frac{n!}{r1(n-r)!}\)

i.e.

Putting values,

⁸C₄ = \(\frac{8!}{4!(8-4)!}\)

On solving we get,

⁸C₄ = \(\frac{8*7*6*5*4!}{4*3*2*1*4!}\)

On solving further we get,

⁸C₄ = 2 × 7 × 5

i.e.

⁸C₄ = 70

So, teams can be arranged in 70 ways.

Hence we can say that the number of ways we can make team if Steve and Danny insist on playing on opposing teams will be 70.

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