Solve the inequality √x+2 > -1.

The value of X in the right angle triangle that is given above would be = 28.89

The given figure shows a right triangle with a hypotenuse with a length of 48. An indicated angle has a measure of

53∘.

To calculate the missing side the formula;

cos 0 = adj/hyp

where, adj = X

hyp = 48

0 = 53°

cos 53° = X/ 48

Make X the subject of formula;

X = 48 × cos 53°

X = 48 × 0.601815023

X = 28.887121104

X = 28.89 ( to two decimal places)

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Answer:

Multiplied by -5

Step-by-step explanation:

-8 X -5 = 40

40 X -5 = -200

The required paragraphs regarding with given expression f(x) = x²-2x+1/4x+5 have been explained later in the section.

A rational expression is a fraction in which the numerator and denominator are polynomials.

Here,
a) To determine the values of x that make the rational function f(x) equal to 0, we need to solve the equation:

x² - 2x + 1 = 0

Next, we can factor the quadratic on the left-hand side of the equation:

(x - 1)(x - 1) = 0

The quadratic is a perfect square, and we can see that it is equal to 0 when x = 1. So, the value of x that makes the rational function 0 is x = 1.

b) To determine the values of x where the rational function f(x) is undefined, we need to look for values of x that would make the denominator, 4x+5, equal to 0. If the denominator is equal to 0, then we would be dividing by 0, which is undefined.

So, we set the denominator equal to 0,

4x + 5 = 0

4x = -5

x = -5/4

Therefore, the value of x where the rational function is undefined is x = -5/4.

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The table to represents the total cost for the different numbers of books ordered is:

Number of books     Spending     Total cost

1                                     $41            $44

2                                    $65           $71

3                                    $125          $134

An expression is written with one or more terms with addition, subtraction, multiplication, and division.

Example:

2.2 + 3x + 4y = 7 is an expression.

3 + 5x = 9 is an expression.

We have,

The book cost = $3

Now,

Spendings = $41, $65, or $125

Now,

Table:

Number of books     Spending     Total cost

1                                     $41            41 + 3 = $44

2                                    $65           65 + 6 = $71

3                                    $125          125 + 9 = $134

Thus,

The table for the total cost is given above.

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Answer: the weight of the wheat still in the truck is 5000 pounds.

Step-by-step explanation:

Here are the steps to calculate the weight of the wheat still in the truck:

Convert the weight of the unloaded wheat to tons. To convert from pounds to tons, divide by 2,000:

1000 lbs / 2000 lbs/ton = 0.5 tons

Subtract the weight of the unloaded wheat from the original weight:

3 tons - 0.5 tons = 2.5 tons

Convert the answer back to pounds:

2.5 tons * 2000 lbs/ton = 5000 lbs

Therefore, the weight of the wheat still in the truck is 5000 pounds.

Answer:

Step-by-step explanation:

its 11

ignore bllllllllllldjbjddddddddddddddddddddddddd

The solution set to the given inequality is (−∞, 2.5].

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is 8(2x-3) ≤ 20-4.

Here, 8(2x-3) ≤ 16

Divide 8 on both the sides of an inequality, we get

2x-3≤2

Add 3 on both the sides of an inequality, we get

2x≤5

Divide 2 on both the sides of an inequality, we get

x≤2.5

Convert the inequality to interval notation.

(−∞, 2.5]

Therefore, the solution set is (−∞, 2.5].

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The volume of the triangular prism is 30. 04 cubic yards

The volume of the cylinder is  380.38 cubic km

The formula for calculating the volume of a triangular prism is expressed as;

Volume = 1/2 bhl

Now, substitute the values

Volume = 1/2 × 3.08 × 5.84 × 3. 34

Multiply the values

Volume = 30. 04 cubic yards

The formula for the volume of a cylinder is expressed as;

Volume = πr²h

Radius = 3km

Substitute the values

Volume = 3. 14 × 9 × 13.46

Multiply

Volume = 380.38 cubic km

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Answer:

r = 4 cos(2θ)

See the attached image for a graph.

Step-by-step explanation:

The points given by the table are in the graph of a cosine rose with 4 petals whose amplitudes are 4.

For the equation r = a cos(nθ), a is the amplitude of the petals (4), and n is half the number of petals, as there are an even number of petals (4/2 = 2).

Hence,

r = 4 cos(2θ)

The numerical value of x in the given right triangle is 20.14.

The figure in the image is right-triangle.

To find the value of x, we use trigonometric ratio.

Sine = Opposite / Hypotenuse

Plug in the values and solve for x.

sin( 32° ) = x / 38

x = sin( 32° ) × 38

x = 0.529919 × 38

x = 20.14

Therefore, the value of x is 20.14.

Option C) 20.14 is the correct answer.

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Answer:

30°

Step-by-step explanation:

360 / 12 = 30°

30 X 1 = 30

Answer:

y = |x - 3| - 1

Step-by-step explanation:

The vertex of the absolute value function graphed is (3, -1). The formula for absolute value is y = a |x - h| + k, where (h, k) is the vertex. The a stretches the graph, although this graph isn't stretched. So a is 1, which is the same as multiplying by 1. Plugging 3 as h and -1 as k into the formula results in y = |x - 3| - 1.

The city that you should live in if you want a greater variability in temperature is city Y.

In order to determine the city that has the greater variability in temperature, the interquartile range has to be determined. The interquartile range is used to measure the variation in a dataset.

The interquartile range is the difference between the third quartile and the first quartile.

interquartile range = third quartile - first quartile

Interquartile range for City X = 50 - 30 = 20

Interquartile range for City Y = 50 - 25 = 25

The interquartile range for city Y is greater than that of city X. This means that city Y has a greater variation in temperature.

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Answer:

The correct answer is D.

Step-by-step explanation:

D. y = 0.8x + 4.

Answer:

Step-by-step explanation:

213232131123123123123123

1. To find the class width, we first need to find the range of the data, which is the difference between the maximum and minimum values: 68 - 10 = 58. Then, we divide the range by the number of classes to get the class width: 58 / 7 = 8.29. However, we will round up to the nearest whole number, so the class width is 9.

2. The lower class limits are 10, 19, 28, 37, 46, 55, and 64, since we add the class width to the lower limit of each previous class to find the lower limit of the next class.

3. The upper class limits are 18, 27, 36, 45, 54, 63, and 68, since we add the class width to the lower limit of each class to find the upper limit of that class.

Answer: a) 1.57 m .

b) 637.79 turns

Step-by-step explanation:

a) The circumference of the wheel can be used to determine how far the vehicle has travelled after making one full turn.

Circumference = 2πr = 50π

C = 157 cm

b)By dividing the entire distance traveled by the diameter of the wheel, we can determine how many times the wheel will turn over a ride of 1 km (1000 meters): 1000 m / 1.57 m = 637.79 turns.

The range of ages that are within one standard deviation of the mean age are given as follows:

M - 14.8 ≤ M ≤ M + 14.8.

In which M is the mean age.

The standard deviation of a data-set is given by the square root of the sum of the difference squared between each observation and the mean, divided by the number of observations.

The values that are within one standard deviation of the mean M have the bounds given as follows:

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Answer:B

Step-by-step explanation:

Answer:

Step-by-step explanation

D

because V = 1/3Hxr

                              ^

                             pie

so 1/3(5)pie(1.75)

1.75 is from the diameter 1/2 which makes 1.75 the radius

The absolute value inequalities for the different lengths are

1) 4.19 ≤  x ≤  4.21

2) 3.3 ≤  x ≤  3.7

What is an absolute value inequality?

The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|.

An expression using absolute functions and inequality signs is known as an absolute value inequality. One example of an absolute value inequality with a larger than symbol is the statement |x + 3| > 1.

1)  length x = 4.2 cm with a tolerance of 0.01 cm

Absolute value inequality is:

|x - 4.2| ≤ 0.01

This can be written as:

           x ≤ 4.21

            x ≥ 4.19

2)  length x =  3.5 cm with a tolerance of 0.2 cm

Absolute value inequality is:

|x - 3.5| ≤ 0.2

This can be written as:

           x ≤ 3.7

            x ≥ 3.3

Therefore the absolute value inequalities for the different lengths are

1) 4.19 ≤  x ≤  4.21

2) 3.3 ≤  x ≤  3.7

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Answer:

1531 pesos

Step-by-step explanation:

The profit when x=10 is calculated as follows:

P(10) = 10^3 + 5(10^2) + 3(10) + 1 = 1000 + 500 + 30 + 1 = 1531 pesos.

The values for the sets are -

A∪B = { 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 } and n(A∪B) = 14.

A∩B = { 10 , 12 , 14 , 16 } and n(A∩B) = 4

What is sets?

A set is a precisely defined collection or aggregate of all feasible objects with predetermined qualities that are specified in accordance with a precisely defined rule. Elements of sets are the items used to compare sets.

The set S is - S = { 1 , 2 , 3 , ... , 18 , 19 , 20 }

The set A is - A = { 1 , 2 , 4 , 10 , 12 , 14 , 16 }

The set B is - B = { 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 }

A∪B is the set of elements of S that are part of A or B, or both.

A∪B = { 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 }

Count the number of elements present in set A∪B.

Therefore, n(A∪B) value is 14.

A∩B is the set of elements of S that are common to A and B.

A∩B = { 10 , 12 , 14 , 16 }

Count the number of elements present in set A∩B.

Therefore, n(A∩B) value is 4.

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Answer: x+y=22; 150x+350y=4800

Step-by-step explanation:

Answer:

The answer is that 1 2/3 and 3/4 common denominate is /12

Step-by-step explanation:

3 x 4 equals 12 then multiply 2 by 4 and 3 by 3 then it’s 1 8/12 and 9/12

The theoretical mean of the uniform distribution between 0 and 12 is given as follows:

6.

It is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.

The bounds for this problem are given as follows:

a = 0 and b = 12.

As each outcome is equally as likely, the mean of the distribution is equals to the mean of the bounds, hence:

(0 + 12)/2 = 6.

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Yes, it is possible to make an expression including all tiles simpler by grouping together the tiles with negative coefficients and the tiles with negative coefficients.

Simply put, negative coefficients are coefficients with negative values. A negative coefficient can be anything like -8 in the term -8z or -11 in the term -11xy. The result of multiplying the variables by the integer is negative.

A negative exponent signifies a very small number: The decimal in the coefficient is shifted eleven positions to the left as a result. A decimal number must also be moved in order to be expressed in scientific notation.

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Answer: C) triangles ABC is not similar to  the triangle DEF because angles B and D re not congruent.

Step-by-step explanation:

...as it say...

Answer: 150 Cubes.

Step-by-step explanation:

Volume of cuboid is l*b*h, Volume of cube is S^3.

= 75*50*40 = 1,50,000 CM, = 0.1m= 10cm^3= 1000

No of cubes in one cuboid= volume of cuboid/volume of cube

1,50,000/1000= 150 cubes.

The probability of Bryson choosing a number greater than 4 is given as follows:

Amount of numbers that are greater than 4 / Total amount of numbers.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

For this problem, the outcomes are given as follows:

The problem is incomplete, hence the procedure to obtain the probability was described.

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Answer:

The answer is likely

Step-by-step explanation:

Two numbers that are in both sequences are the numbers 17 and 32.

A sequence can be described as a set of numbers each with a defined interval between one another. For example, in the sequence 2, 4, 6, 8, 10, the interval is 2.

To find two common numbers, let's expand the sequences as it is shown below:

First sequence: In this sequence, the interval is 5.

2 7 12 17 22 27 32

Second sequence: In this sequence, the interval is 3.

-4 -1 2 5 8 11 14 17 20 23 26 29 32

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