Let In M = 12x + 30 -dx x2 + 2x - 8 What is the value of M? None of the Choices O (x+4) 3 C (x-2)9+C O C(x-4)2(x+2) O C(x+4) 3(x - 2)

Answer:

The length of the unknown leg is 5.66 yards

Step-by-step explanation:

\(Hypotenuse^2=opposite^2-adjacent^2\)

\(Hyp^2=opp^2+adj^2\)

\(Hyp=\sqrt{42.8}\) \(yards\)

\(Opp=\sqrt{11}\) \(yards\)

\(Adj=?\)

\(Adj^2=Hyp^2-opp^2\)

\(=(\sqrt{42.8} )^2-(\sqrt{11} )^2\)

\(=42.8-11\)

\(=31.8\) → \(32\)

\(Adj^2=32\)

\(Adj=\sqrt{32}\)

= 5.66 yards

Base on the Circle O the measure of angle BAC is D. 56 degrees

It should be noted that protractor can be used to measure an angle precisely however the angle is measured in degrees,  and 360 degrees make up one full revolution.

m∠AOB = 68°

We can find the  measure of ∠BAC. whereby O is the center of the circle. and OA, OB and OC are radii of the circle.

⇒ OA = OB = OC

In ΔAOB,

OA = OB

Whereby Angle opposite to equal sides are equal and Sum of all angles of a triangle = 180°

⇒ m∠OAB = m∠OBA ----------- (1)

m∠OAB + m∠OBA + m∠AOB = 180°

m∠OAB + m∠OAB + 73° = 180°  (using (1))

2 m∠OAB + 68° = 180°

2 m∠OAB = 112°

m∠OAB = 53.5°

m∠BAC = m∠OAB

m∠BAC = 56°

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Answer:

x > 2/3  or x < -10/3

Step-by-step explanation:

|3x + 4| > 6

To solve an absolute value inequality of the form |X| > b, where X is an expression, and b is a number, change the inequality into this compound inequality:

X > b or X < -b

Here, X is 3x + 4.

b is 6.

We get the compound inequality:

3x + 4 > 6 or 3x + 4 < -6

3x > 2  or 3x + 4 < -6

x > 2/3  or  3x < -10

x > 2/3  or x < -10/3

Answer:

\(\left(- \infty, -\dfrac{10}{3}\right) \cup \left(\dfrac{2}{3}, \infty\right)\)

Step-by-step explanation:

To solve an inequality containing an absolute value:

Given inequality:

\(|3x+4| > 6\)

Apply the absolute rule:

\(\textsf{If }\:|u| > a,\:a > 0\:\textsf{ then }\:u < -a \:\textsf{ or }\: u > a\)

Therefore:

\(\begin{aligned}\text{\underline{Case 1}} && \text{\underline{Case 2}}\\3x+4 & < -6 \quad & 3x+4 & > 6\\3x & < -10 \quad & 3x & > 2\\x & < -\dfrac{10}{3} \quad & x & > \dfrac{2}{3}\end{aligned}\)

So the solution to the inequality in interval notation is:

\(\left(- \infty, -\dfrac{10}{3}\right) \cup \left(\dfrac{2}{3}, \infty\right)\)

Answer:

18

Step-by-step explanation:

divide 36 by 2

Answer:

18

Step-by-step explanation:

36/4=9

1lb=9

2lbs=18

Answer:

the answer is A

Step-by-step explanation:

To check your answer, move 4 units to the right and 3 units up

Answer:

Step-by-step explanation:

47/50

The maximum value of the data is given as follows:

75.

A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:

The maximum value on the box plot is the end of the plot, hence it is of 75.

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The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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Percentage decrease is the difference between starting and ending values. It shows a loss of value from the original expressed as a percentage regardless of units. The amount of decrease is the original amount minus the final amount.

The formula for Percent Decrease is: Decreased Value = (Original Value – New Value)/Original Value.

The computation of our Percent Decrease:

= (64 - 21)/61 * 100

= 70.49%

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Answer:

44+54= 98

98-13=85

Step-by-step explanation:

Answer:

85 animals are left.

Step-by-step explanation:

44 + 54 = 98.

98 - 13 = 85.

Answer:

B  60 minutes

Step-by-step explanation:

if you divide 12 and 6 you get 2 so you multiply 30 and 2.

Answer:

everytime the x goes up by 3, the y goes down by 3

Step-by-step explanation:

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the mean strength gain of all students from this school if they joined the program is (7.85, 15.37).

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 9 - 1 = 8 df, is t = 2.306.

The other parameters are given as follows, with the help of a calculator.

\(\overline{x} = 11.61, s = 4.89, n = 9\)

Hence:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 11.61 - 2.306\frac{4.89}{\sqrt{9}} = 7.85\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 11.61 + 2.306\frac{4.89}{\sqrt{9}} = 15.37\)

The 95% confidence interval for the mean strength gain of all students from this school if they joined the program is (7.85, 15.37).

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In a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .

Multiple regression is a statistical method that may be used to assess a single dependent variable and several independent variables. Multiple regression analysis use known independent variables to anticipate the value of a single dependent variable. Each predictor value is assigned a weight, which indicates how much each predictor contributed to the overall forecast.

In a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .

The estimated value of Y increases by an average 2 units for each increase of 1 unit of X1, holding X2 constant.

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the x-intercepts of the function y = (x-5)(2x+3) are the ordered pairs (5, 0) and (-3/2, 0).

To find the x-intercepts of the function y = (x-5)(2x+3), we need to set y to zero and solve for x:

0 = (x-5)(2x+3)

This equation will be true if either (x-5) = 0 or (2x+3) = 0, since the product of two factors is zero if and only if at least one of the factors is zero.

Solving each equation separately, we get:

x - 5 = 0 or 2x + 3 = 0

x = 5 or 2x = -3

x = -3/2

Therefore, the x-intercepts of the function y = (x-5)(2x+3) are the ordered pairs (5, 0) and (-3/2, 0).

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Answer:

What is 20 percent (calculated percentage %) of number 40? Answer: 8.

Step-by-step explanation:

happy to help ya:)

2.21 × 10^20 is expressed in scientific notation.

What does scientific notation consist of?

Writing extremely large or extremely small numbers is done using scientific notation. When a number in the range of 1 to 10 is multiplied by a power of 10, the result is represented in scientific notation.

                         For instance, 650,000,000 can be expressed using scientific notation as 6.5 108. In scientific notation, a number is expressed in the form n10ab, where an is an integer such that 1|a|10 and b is also an integer.

The decimal point has to go 20 places to the left to give the number 2.21; that means the exponent on the 10 is 20.

= 2.21E20

= 2.21 × 10^20

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Answer:

I guess it is 45°

Step-by-step explanation:

Hope it helps!!!!

Answer:

45°

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

a regular octagon has 8 equal exterior angles , then

exterior angle = 360° ÷ 8 = 45°

Answer:

226.08 ft³

Step-by-step explanation:

\(\textsf{volume of a cone}=\frac{1}{3}\pi r^2h\)
(where \(r\) = radius of the base and \(h\) = height)

\(\textsf{radius}\ r=\frac{1}{2}\ \textsf{diameter}\)

Given:

\(\implies \textsf{volume of tent}=\frac{1}{3}\times3.14 \times 6^2 \times 6=226.08 \ \textsf{ft}^3\)

A nontrivial solution exists, and it is {c₁, c₂, c₃} = {-5, 2, 1}.

The f₁, f₂, and f₃ are linearly dependent on the interval (-∞, ∞).

To solve for c₁, c₂, and c₃ such that g(x) = 0 on the interval (-∞, ∞), we need to find the values of c₁, c₂, and c3 that make the linear combination of f₁(x), f₂(x), and f₃(x) equal to zero.

g(x) = c₁f₁(x) + c₂f₂(x) + c₃f₃(x) = 0

Substituting the given functions into g(x):

c₁x + c₂x² + c₃(5x - 2x²) = 0

Combining like terms:

(c₂ - 2c₃)x² + (c1 + 5c₃)x = 0

To satisfy this equation for all x in the interval (-∞, ∞), the coefficients of x² and x must be zero:

c₂  - 2c₃ = 0 ---(1)

c₁ + 5c₃ = 0 ---(2)

From equation (1), we can express c₂ in terms of c₃ as:

c₂ = 2c₃

Substituting this into equation (2):

c₁ + 5c₃ = 0

Solving for c₁ in terms of c₃:

c₁ = -5c₃

So, we have:

c₁ = -5c₃

c₂ = 2c₃

Now, to check if a nontrivial solution exists, we need to determine if there are values of c₃ that satisfy these equations without all coefficients being zero.

If we choose c₃ = 1, then:

c₁ = -5

c₂ = 2

These values of c₁, c₂, and c₃ satisfy the equations and yield a nontrivial solution.

Therefore, a nontrivial solution exists, and it is {c₁, c₂, c₃} = {-5, 2, 1}.

To determine whether f₁, f₂, and f₃ are linearly independent on the interval (-∞, ∞), we need to check if the equation:

c₁f₁(x) + c₂f₂(x) + c₃f₃(x) = 0

has only the trivial solution c₁ = c₂ = c₃ = 0. Since we have found a nontrivial solution, {c₁, c₂, c₃} = {-5, 2, 1}, it means that f₁, f₂, and f₃ are linearly dependent on the interval (-∞, ∞).

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Answer:

I want to say 12:50 pm but please tell me if I'm wrong

Answer:

She should buy 60 inches of decorative wood

Step-by-step explanation:

\(\sqrt{225}\) =15

15×4=60

Answer:     4c^7d^8

Step-by-step explanation:

That was for a

Answer:

a) 4cd²

b) 3a²b³

Step-by-step explanation:

Divide the coefficients (8/2)

Subtract the exponents (c⁴ - c³, d⁵ - d³)

when the aquarium is full, it contains 192 cubic inches of water.

The volume of a right rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.

In this case, the dimensions of the aquarium are l = 12 in, w = 4 in, and h = 4 in. So the volume of the aquarium is:

V = (12 in)(4 in)(4 in) = 192 in³

Therefore, when the aquarium is full, it contains 192 cubic inches of water.

What is an aquarium ?

An aquarium is a container or a facility used to house aquatic animals and plants, typically for display purposes in homes, offices, public spaces, or institutions such as zoos and aquariums. It can also be a decorative element that adds life and beauty to an indoor or outdoor space.

What is prism?

A prism is a solid object with two identical ends (or bases) and flat sides. The sides of a prism are typically parallelograms or rectangles, and the prism is named by the shape of its base.

The volume of a prism can be calculated by multiplying the area of its base by its height. The formula for the volume of a prism is V = Bh, where B is the area of the base and h is the height.

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Answer:

32.40 dollars

have a nice day

Step-by-step explanation:

Have a nice day

The index form of the expression is 5^-1m

Note that index form means in a power form

We have that;

= 4m/20m

Find the similar factor

= 1/5m

The inverse of a number, is that number to the power of -1

Then,

1/5m = 5^-1m

Thus, the index form of the expression is 5^-1m

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Answer:

Step-by-step explanation:

1.6x10^5=160,000;    160x1000=160,000

Answer :-

As we know that ,

By substituting the given values ,

➨ 125 = 25 × height

➨ 125/25 = Height

➨ Height = 5 cm

Hence, height of the parallelogram. = 5cm