HELP ME, SMART PEOPLE PLEASE !!!!!! I'M IN A MENTAL CRISIS :(((((

Identify which trigonometric ratio to use. Write out the ratio then solve by cross multiplying for the length of side CA

Answer:

Metric foot.

Step-by-step explanation:

12 inches = 12 * 2.54

= 30.48 centimeters.

The metric foot is equal to 30 cm.

Answer:

Simplify the following:

1/6×1/1

1/6×1/1 = 1/6:

Answer: 1/6

Step-by-step explanation:

No need to be confused about anything. One multiplied, raised, divided, and squared always gives the same result.

Answer:

Correct answer is:

C. \(F(x) =-x^{2} -3\)

Step-by-step explanation:

We are given a function:

\(G(x) = x^{2}\)

The graph of \(G(x)\) is also shown in the given question figure.

It is a parabola with vertex at (0,0).

Sign of \(x^{2}\) is positive, that is why the parabola opens up.

General equation of parabola is given as:

\(y = a(x-h)^2+k\)

Here, in G(x), a = 1

Vertex (h,k) is (0,0).

As seen from the question figure,

The graph of F(x) opens down that is why it will have:

Sign of \(x^{2}\) as negative. i.e. \(a = -1\)

And vertex is at (0,-3)

Putting the values of a and vertex coordinates,

Hence, the equation of parabola will become:

\(y = -1(x-0)^2+(-3)\\y = -x^2-3\)

The correct answer is:

C. \(F(x) =-x^{2} -3\)

The required equation of graph f(x) is \(y = -x^{2} -3\)

Given that,

The graph of f(x), resembles the graph of G(x) = \(x^{2}\).

We have to find,

Which of the following could be the equation of  f(x).

According to the question,

Function, \(G(x) = x^{2}\),

The graph in the given question figure. It is a parabola with vertex at (0,0).

By the graph predict that Sign of \(x^{2}\)  is positive, that is why the parabola opens up.

General equation of parabola is given by,

\(y = a(x-h)^{2} +k\)

Where, a = 1, and vertex (h, k) is (0,0).

The graph of F(x) unknown function opens down ,

Sign of \(x^{2}\) as negative. and the vertex is at (0,-3)

To find the equation of function f(x),

Putting the values of a and vertex coordinates,

\(y = a(x-h)^{2} +k\)

The equation of parabola become:

\(y = -1(x-0)^{2} +(-3)\\\\y = -x^{2} -3\)

Hence, The required equation of f(x) is \(y = -x^{2} -3\).

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The circle has a center at

✔ (0, 0)

.

If c + di is a point on the circle, then

|c + di |=

3✔

.

1. 1/2

2. 3/10

3. 2 and 3/5

4. 1 and 7/12

5. 1 and 1/3

The parabola equation given is,

I will be resolving the answers using graph.

The graph of the function will be shown below

From the graph above, the roots or the zeros of the parabola are the points where the curve touches the x-axis.

Hence, the roots/zeros of the parabola is

Also, the y-intercept of the parabola is the point where the curve touches the y-axis.

Therefore, the y-intercept is

Hence, there are two roots which are -8 and

Answer:

The pears are more expensive per pound

Step-by-step explanation:

Find the cost per pound of the pears and bananas by dividing the cost by the number of pounds:

Pears:

9/3

= 3 ($3 per pound of pears)

Bananas:

1/4

= 0.25 ($0.25 per pound of bananas)

Since 3 is larger than 0.25, this means the pears are more expensive per pound.

Answer:

D is the answer

Step-by-step explanation:

just replace the x values in the function and check if you get y or not

Answer:

z = 99

Step-by-step explanation:

\(\frac{z}{9}\) + 4 = 15 ( subtract 4 from both sides )

\(\frac{z}{9}\) = 11 ( multiply both sides by 9 to clear the fraction )

z = 99

It looks like the given differential equation is

(3x² + y²) y + (y² - x²) x dy/dx = 0

Multiply both sides by 1/x³ to get

(3 + y²/x²) y/x + (y²/x² - 1) dy/dx = 0

(Note that in order to do this, we must have x ≠ 0, which means that if a solution exists, it would have to be on either (-∞, 0) or (0, ∞).)

Now substitute z = y/x, or y = xz, from which we get dy/dx = x dz/dx + z. Making this replacement and simplifying yields a separable equation:

(3 + z²) z + (z² - 1) (x dz/dx + z) = 0

(3 + z²) z + (z² - 1) x dz/dx + (z² - 1) z = 0

(z² - 1) x dz/dx = -(2z³ + 2z)

x dz/dx = (2z³ + 2z)/(1 - z²)

(1 - z²)/(2z (z² + 1)) dz = dx/x

Integrate both sides. On the left, split up the expression into partial fractions.

\(\dfrac{1-z^2}{z(z^2+1)} = \dfrac az + \dfrac{bz+c}{z^2+1}\)

\(\dfrac{1-z^2}{z(z^2+1)} = \dfrac{a(z^2+1)+(bz+c)z}{z(z^2+1)}\)

\(1-z^2 = (a+b)z^2 + cz + a\)

for which we find a = 1, b = -2, and c = 0:

\(\dfrac{1-z^2}{2z(z^2+1)} = \dfrac12 \left( \dfrac1z - \dfrac{2z}{z^2+1} \right)\)

Integrating and simplifying yields

1/2 ∫ (1/z - 2z/(z² + 1)) dz = ∫ dx/x

1/2 (ln|z| - ln(z² + 1)) = ln|x| + C

1/2 ln|z / (z² + 1)| = ln|x| + C

ln(√(z/(z² + 1))) = ln|x| + C

exp[ln(√(z/(z² + 1)))] = exp[ln|x| + C]

√(z/(z² + 1)) = exp[ln|x|] exp[C]

√(z/(z² + 1)) = Cx

z/(z² + 1) = Cx²

Replacing z = y/x then gives us an implicit solution of

(y/x) / (y²/x² + 1) = Cx²

xy / (y² + x²) = Cx²

y / (y² + x²) = Cx

y = Cx (y² + x²)

Cxy² - y + Cx³ = 0

though we can solve for y explicitly (assuming x > 0) using the quadratic formula to end up with

y = (1 + √(1 - Cx⁴))/(Cx)

(the other solution only differs by the sign on the square root)

Answer: There are 6 different ways in which they can share the work.

Step-by-step explanation:

Suppose that Terry selects first the place where he goes, in the selection he has 3 options at random to chose.

Then Edin selects, Edin has two options (because one is already taken)

Then Gordon selects, he has only one options.

The number of combinations is equal to the product of the number of options for each selection, this is:

Combinations = 3*2*1 = 6

There are 6 different ways in which they can share the work.

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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The expression to model the problem is \(\frac{2}{3}\) ÷ 12, and the solution is 1/18.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Total fraction of grains Alexis has = 2/3 pounds

Grains used to feed 12 chickens = 2/3

Grains used to feed 1 chicken = (2/3) / 12

                                                  = \(\frac{2}{3}\) ÷ 12

Using the reciprocal rule,

Grains used to feed 1 chicken = \(\frac{2}{3}\) × \(\frac{1}{12}\)

                                                  = 1/18

Hence the amount of grains for 1 chicken is 1/18.

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x+y≥9, 5x+10y≤70 and x≥0 and y ≥ 0 are the required system of linear inequalities that shows all possible combinations of the plants Emma could purchase.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Emma is buying new herbs for her garden

Basil plants cost $5 each and mint plants cost $10 each.

She wants to buy at least 9 plants but cannot spend more than $70.

Let x represents the number of Basil plants

y represents the number of mint plants

x+y≥9

5x+10y≤70

x≥0 and y ≥ 0

Now x=9-y

5x+10y≤70

5(9-y)+10y=70

45-5y+10y=70

45+5y=70

Subtract 45 on both sides

5y=70-45

5y=25

Divide both sides by 5

y=5

x+5=9

x=4

Hence, x+y≥9, 5x+10y≤70 and x≥0 and y ≥ 0 are the required system of linear inequalities that shows all possible combinations of the plants Emma could purchase.

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Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = proportion of households that have three cell phones NOT known.

So, Null Hypothesis, \(H_0\) : p = 30%      {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, \(H_A\) : p \(\neq\) 30%     {means that the actual percentage of households different from 30%}

The test statistics that would be used here One-sample z-test for proportions;

                                T.S. =  \(\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }\)  ~ N(0,1)

where, \(\hat p\) = sample proportion of households having three cell phones = \(\frac{43}{150}\) = 0.29

           n = sample of households = 150

So, the test statistics  =  \(\frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }\)  

                                     =  -0.27

The value of z test statistic is -0.27.

Also, P-value of the test statistics is given by;

              P-value = P(Z < -0.27) = 1 - P(Z \(\leq\) 0.27)

                            = 1 - 0.6064 = 0.3936

Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the actual percentage of households is equal to 30%.

Answer:

Solution,

Principal( P)= £ 2000

Rate (R)= 1.5%= 1.5/100

Time (t)= 6 years

Interest=?

Now,

\(interest = principal \times rate \times time \\ \: \: \: \: = 2000 \times \frac{1.5}{100} \times 6 \\ \: \: = 180\)

Therefore, he will earn £ 180 in 6 years.

Hope this helps..

Good luck on your assignment..

Rectangle A is the same perimeter but a greater area than the rectangle Jacob drew.

Thus, the correct option is A.

In geometry, a rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides that are parallel and equal in length. It is a special case of a parallelogram, where all angles are right angles. Rectangles are one of the most common shapes in mathematics and have a wide range of applications in various fields.

A rectangle has two pairs of equal sides, each pair parallel to the other. The opposite sides of a rectangle are congruent (equal in length), and the diagonals of a rectangle are equal in length and bisect each other at the center of the rectangle. The perimeter of a rectangle is the sum of the lengths of its sides, and its area is the product of its length and width.

Rectangles have many important properties and relationships with other geometric shapes, such as squares, rhombuses, and trapezoids. They are widely used in geometry, trigonometry, and calculus to model and solve a wide range of problems in mathematics, science, and engineering.

Rectangles are also commonly used in everyday life, for example in the design of buildings and furniture, in the creation of graphic designs and computer screens, and in the construction of electrical circuits and devices. They are a fundamental shape in many fields and have a wide range of practical applications.

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Answer:

Writing in the form specified: f(x) = (x - 4)² + 3

Vertex: (4, 3)

Explanation:

The given equation is

f(x) = x² - 8x + 19

To write it in vertex form, we need to add and subtract (b/2)², where b is the number beside x. In this case, b = -8, so

(b/2)² = (-8/2)² = (-4)² = 16

Then, if we add and subtract 16, we get

f(x) = x² - 8x + 19 + 16 - 16

f(x) = (x² - 8x + 16) + (19 - 16)

f(x) = (x - 4)² + 3

Therefore, in the form f(x) = a(x - h)² + k, a = 1, h = 4 and k = 3.

Therefore, the vertex is

(h, k) = (4, 3)

So, the answers are

Writing in the form specified: f(x) = (x - 4)² + 3

Vertex: (4, 3)

Answer:

h < 11

Step-by-step explanation:

Thats what i get when i work it out lol

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

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

The values of the constants m and c include the following:

m = -1.3

c = 7.1

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

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Answer:

The table represents a linear function.

Step-by-step explanation:

Graphed, the points go in a straight line, and you are able to draw a line through it. The equation for the line is y = 4x + 4.

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65

Answer:

g = -8, 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

g² + 2g - 48 = 0

Step 2: Solve for g