Hmm, try solving 13 to the power of 16 do it the long way :0
and just in case you do
2(2 + ab) + b(r + 3)

Answer:

472×82=38704

Step-by-step explanation:

Prime factorization:

2^4×41×59

1) The value of x in the triangle is; x = 25

2) The measure of each interior angle is;

25°, 40° and 115°

Exterior angle = 65°

In a triangle, from the exterior angle property, we know that the exterior angle is always equal to the sum of the interior opposite angles. Thus, we say that any two triangles will be similar provided that their corresponding angles tend to be congruent and the length of their sides will be proportional.

Thus;

x + 15 + 25 = 3x - 10

3x - x = 25 + 15 + 10

2x = 50

x = 50/2

x = 25

The measure of each interior angle is;

25°

25 + 15 = 40°

180 - (25 + 40) = 115°

Exterior angle = 180 - 115 = 65°

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The probability that a point falls in the red-shaded square is given as follows:

p = 9/16.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The probability that a point falls in the red shared square is then given by the division of the area of the red shaded square by the division of the area of the larger square.

The area of the red-shaded square is given as follows:

3² = 9.

The area of the larger square is given as follows:

4² = 16.

Hence the probability is given as follows:

p = 9/16.

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The period of the function is 4π, and the amplitude is 2.

Given data ,

Let the function be represented as f ( x ) = y

Now , the value of f ( x ) is

y = 2sin ( 1/2 )x

To find the period and amplitude of the function y = 2sin((1/2)x), we can use the standard form of a sine function: y = Asin(Bx).

In this case, the amplitude (A) is 2.

The amplitude represents the maximum displacement from the midpoint of the sinusoidal function.

To find the period, we can use the formula:

Period = (2π) / |B|.

B = 1/2.

Period = (2π) / |1/2|

P = (2π) / (1/2) = 2π * 2/1 = 4π

Hence , the period of the function is 4π, and the amplitude is 2.

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The probability of randomly picking a school or library-related issue from the ballot is 9/19 or approximately 0.474 (rounded to three decimal places).

To determine the probability of a randomly picked issue being school or library related, you'll need to consider the total number of issues and the number of school and library issues combined.

There are 7 school-related issues, 10 ordinance-related issues, and 2 library-related issues, making a total of 19 issues on the ballot. To find the probability of picking a school or library issue, combine the number of school and library issues: 7 + 2 = 9.

Now, divide the number of school and library issues (9) by the total number of issues (19): 9/19.

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Answer:

All sides are the same length (congruent) and all interior angles are the same size (congruent). if Sqr refers to square

The large jar has better value for money than the smaller one.

To see which jar is the best value for the money, we need to take the quotient between the cost of each jar and the size. The smaller that value gets, the best value we have.

For the first jar we have:

q = £4.10/540 = 0.0075

For the second jar we have:

q' = £2.81/360 = 0.0078

Then we can see that the large jar has the best value for money.

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Answer:

16km/h

Step-by-step explanation:

average speed = total distance traveled / total time taken

30 min = 0.5 h

8/0.5 = 16km/h

Answer:

19.99%

Step-by-step explanation:

hope this helps

here you go

Answer:

b.)  (6,7)

Step-by-step explanation:

the figure is translated 2 units to the left

Answer:

\(a = \frac{1}{2} bh \\ \\ b = a \div ( \frac{1}{2} h) \\ \\ b = a \times \frac{2}{h} \\ \\ b = \frac{2a}{h} \)

Answer:

Rhoda and Ming are both correct, but Ming's prediction is closer because the result is accurate to two decimal places.

Step-by-step explanation:

Based on the distance that Jill is above sea level, and the distance of the whale, the difference in elevation is 1.35 km.

Jill's elevation relative to sea level is:

= +5/4 km

The whale's elevation relative to sea level is:

= - 0.1 km

The difference is therefore:

= 5/4 - (-0.1)

= 1.25 + 0.1

= 1.35 km

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The percentage error by calculating by differentials to approximate value of sqrt(99.4) = 0.00045 percentage.

For   percentage error Here first we have to find the value of sqrt(99.4) by  normal calculation and second we will calculate it by differential method then we will find the percentage error .

To approximate sqrt(99.4)  we will  use formula for linear approximation as given below  

f(x) = f(c) + f′(c)(x−c)

and we are dealing with square root so we have to find the f(x) ad here

f(x) = √x

and we will calculate  f'(x)  and here it is

f'(x) = 1/(2√x)

Here, x=99.4 and we choose c =100 because that’s the closest perfect square number to 99.4. so

f(c) = f(100) = √100 = 10

f'(c) = f'(100) =1/(2√100) = 1/20

f(x) =f(c) + f′(c)(x−c)

f(x) = f(99.4)=f(100)+f'(100)(99.4-100)

=10+1/20*(-0.6)

=9.97

Here we find the value by differential = 9.97

and by simple calculation the value is = 9.96995486

ans percentage error = (real value - differential value)/100

= (9.96995486-9.97)/100 = 0.00045 percentage

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\(\sqrt{25*7x^{4}*x^{1} } \\=\sqrt{25*x^{4}*7 *x^{1} } \\=\sqrt{25x^{4} } *\sqrt{7x}\\=5x^{2} \sqrt{7x}\)

Option B is the answer.

Answer: C

i hope you can see my handwriting

Answer:

B) 4,700

Step-by-step explanation:

6000 - 4000 = 2000

2000 in 15 year, find how much for each year

2000/ 15 = 133.3333333

133.3333333 estimated = 133

133 approximately for each year

1975 to 1980 is five years

133 x 5 = 665

4000 + 665 = 4665

4665 rounded the the nearest hundred

4700

Answer: D

Step-by-step explanation:

21=7+6+neither-5

7+6=13-5=8

21-8=13

Answer:

is there more to the the question?

Step-by-step explanation:

would Love to help but I think there is more to the question

Answer:

84 ft^2

Step-by-step explanation:

To find the area of this rectangle we multiply width and length

8 × 10.5 = 84 ft^2

Given:

The sides of an equilateral triangle base are 10 yds. The height of the prism is 29 yds.

To find:

The volume of the prism.

Solution:

The formula of the volume of the triangular prism is given by:

It is known that the area of the equilateral triangle is given by:

So, the area of the base of the triangular prism is:

Now, the volume of the given triangular prism is:

Answer:

Option A

Step-by-step explanation:

v + w

{-9,2} + {1,-6}

{-9 + 1},{2 + (-6)}

{-8}, {2 - 6}

{-8},{-4}

Answer:

We reject the Null and conclude that the mean costs of a meal at fast food restaurants in two different cities are different.

Step-by-step explanation:

Given :

City n x s

A 26 $4.05 $0.55

B 32 $5.15 $0.85

H0 : μ1 - μ2 = 0

H0 : μ1 - μ2 ≠ 0

n1 = 26 ; x1 = 4.05 ; s1 = 0.55

n2 = 32 ; x2 = 5.15 ; s2 = 0.85

Tstatistic :

(x1 - x2) / √(s1²/n1 + s2²/n2)

(4.05 - 5.15) / √(0.55²/26 + 0.85²/32)

-1.1 / 0.1849668

= - 5.947

Using the smaller n;

df = n - 1 ; 26 - 1 = 25

Pvalue = (-5.947, 24)

Pvalue = 0.000001

Since Pvalue < α ; We reject the Null and conclude that the mean costs of a meal at fast food restaurants in two different cities are different.

Answer:

C) 100 cm²

Step-by-step explanation:

(14*6)/2*10

20/2*10

10*10

100

The area of the given shaded part of the rectangle is 100 square meters as shown.

The entire space filled by a triangle's three sides in a two-dimensional plane is defined as its area.

The fundamental formula for calculating the area of a triangle is A = 1/2 b h.

The area of the shaded part = area of the rectangle -  area of the triangle

The area of the shaded part = 14 × 10 - (1/2) × 8 × 10

The area of the shaded part = 140 - 80/2

The area of the shaded part = 140 - 40

Apply the subtraction operation, and we get

The area of the shaded part = 100 meters²

Thus, the area of the given shaded part of the rectangle is 100 square meters.

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The statement that is a good definition is D. Parallel lines are lines that do not intersect.

A type of quadrilateral with all sides being equal and all angles being 90 degrees is a square.

Lines that do not cross each other but have a constant perpendicular distance are known as parallel lines. Right angles and skew lines are perpendicular to one another but not parallel. Therefore, a square is a type of rectangle in which all four sides are parallel to one another.

Therefore, based on the information, the correct option is D

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Answer:

x≥88

88

88≤x≤100

Step-by-step explanation:

83x3=249

249-73-88=88

x≥88

88

88≤x≤100

Answer:

The integer would be -12

Step-by-step explanation:

x + 5 = -7

  -5      - 5

x = -12

-12 + 5 = -7

Given:

f(−4)=6

Slope of f=−6

To find:

The linear function with the given properties.

Solution:

We have,

f(−4)=6

It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).

Slope of f=−6

The point slope form of a linear function is

\(y-y_1=m(x-x_1)\)

where, m is slope of the linear function.

On substituting the values, we get

\(y-6=(-6)(x-(-4))\)

\(y-6=-6(x+4)\)

\(y-6=-6x-24\)

Add 6 on both sides.

\(y-6+6=-6x-24+6\)

\(y=-6x-18\)

The function form of this linear equation is

\(f(x)=-6x-18\)

Therefore, the required function is \(f(x)=-6x-18\).