Find the length of DE if D is between points C and E, CD = 6.5 cm and CE = 13.8 cm

a = amplitude

d = shift

Just from looking at the graph, I can tell that d = -3.5

The amplitude = 1/2

We want to find the coefficients of a given function such that the graph of the function matches the given graph.

We will get:

a = -0.5

d = -3

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

We start with the general function:

f(x) = a*cos(x) + d.

Let's analyze the graph

In the figure, we can see that the graph passes through the point (0, -3.5)

This means that our function evaluated in x = 0 is equal to -3.5, then we can write:

f(0) = a*cos(0) + d = -3.5

        a + d = -3.5

We also can see that the distance between a peak and a through is 1 unit, and a, the amplitude, must be (in absolute value) half of that. Also note that when x = 0 we have a local minimum, while for the normal cosine we have a local maximum at x = 0, then a must be a negative number.

Then we have that:

a = - (1/2) = -0.5

Now that we know the value of a we can replace it in the other equation to get:

a + d = -3.5

-0.5 + d = -3.5

d = -3.5 + 0.5 = -3

Then the values of a and d are:

a = -0.5

d = -3

The function is:

f(x) = -0.5*cos(x) - 3

And the graph of this can be seen at the end of the answer, where it does not match exactly because the x-scale in the image is in units of pi, while in my graph is in integers.

If you want to learn more, you can read:

https://brainly.com/question/17954123

Answer: -7920

Step-by-step explanation: 33x-6x40= -7920

Answer:

c) 25

Step-by-step explanation:

[tex] \because \: l \parallel m \\ \therefore \: 3x \degree = (2x + 25) \degree ..(alternate \: \angle 's)\\ 3x = 2x + 25 \\ 3x - 2x = 25 \\ \huge \orange{ \boxed{x = 25}}[/tex]

Answer:

Spam answer

Step-by-step explanation:

c) 25

Answer:

The correct numbers are;

1) 0

2) 25

3) 1.25

4) 2.5

When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit

Step-by-step explanation:

The given equation for the height of the ball, h(t), in feet, is given as follows

h(t) = 40·t - 16·t²

Therefore;

1) When the ball is hit at 0 seconds, it has a height of h(0) = 40×0 - 16×0² = 0 feet

2) The time to reach maximum height by the ball is found by taking the derivative (slope) of the function for the height of the ball and noting that at maximum height, the derivative (slope) = 0

Therefore;

h'(t) = 40 - 2 × 16·t = 0

40 - 32·t = 0

t = 40/32 = 5/4 seconds = 1.25 seconds

3) The maximum height is then found from the value of the function at t = 5/4 seconds as follows;

h(5/4) = 40×5/4 - 16×(5/4)² = 50 - 25 = 25 feet

4) The time in which the ball reaches the ground where h(t) = 0 is given from the formula for the height of the gulf ball as follows;

h(t) = 0 = 40·t - 16·t²

40·t - 16·t² = 0

(40 - 16·t)·t = 0

Therefore;

t = 0 seconds or t = 40/16 = 2.5 seconds

(40 - 16·t) = 0/t = 0

t = 40/16 = 2.5 seconds

Therefore, the filling the blanks with the correct numbers gives;

When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit

Answer:

s divided by 6

Step-by-step explanation:

there's 6 ppl and there's s sandwiches

Step-by-step explanation:

The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . We can, of course, use this to find the equation of the line. Since the line crosses the y-axis when y = 3, the equation of this graph is y = ½x + 3 . To find the gradient of a curve, you must draw an accurate sketch of the curve.

Answer:

19.[tex]-\frac{5}{6}^{3}[/tex]

20.[tex]s^{2} *7^{3}[/tex]

21.[tex]4^{2} * b^{4}[/tex]

22. 97.2

23. 234

Step-by-step explanation:

[tex]k^{4}*m\\ 3^{4} *\frac{5}{6}\\ 81*\frac{5}{6}=97.2[/tex]

[tex](c^{3}+ d^{4})^{2} -(c+d)^3\\(-1^3+2^4)^2-(-1^3+2^3)\\-1+256+1+8\\=234[/tex]

I hope this helps.

Answer:

1/2b=-4+16

1/2b= 12

b=12×2

b=24

Answer:

constants = -16 and -4

coefficients are 1/2

Step-by-step explanation:

a constant is a number not attached to a variable. a coefficient is a number attached to a variable

Answer:

No Solution

Step-by-step explanation:

x-4x+3x=2

0x=2

0=2 or x=2/0

Either way, no solution

Answer:

The bench costs $425

Step-by-step explanation:

First lets define our variables:

t = garden table

b = bench

Next, we have to use the information to create two formulas. One formula is for the cost of a garden table and a bench. The second is for the cost of the garden table.

t + b = 755

t = b - 95

For the next step, we can solve for be by using the second formula we created and replacing (t) in the first formula:

b - 95 + b = 755

2b - 95 = 755

2b = 850

bench = 425

To find out how much the cost of the cost of the table is, you can plug in the cost of the bench (b) back into the second equation:

t = b - 95

t = 425 - 95

table = 330

I hope this helps!

-TheBusinessMan

Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

A quadratic equation, [tex]ax^{2} +bx+c=0[/tex] is solved by

[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]

Given function [tex]f(x)=x^4-10x^2+10000[/tex]

Function that has monthly salary $20,000 will be [tex]x^4-10x^2+10000=20000[/tex]

[tex]x^4-10x^2+10000-20000=0[/tex]

[tex]x^4-10x^2-10000=0[/tex]

Now using the formula [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]

[tex]x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}[/tex]

[tex]x^2=\frac{10 \pm \sqrt{40100} }{2}[/tex]

[tex]x^2=\frac{10 \pm 200.2}{2}[/tex]

[tex]x^2=5 \pm 100.1[/tex]

[tex]x^2=105.1[/tex]

[tex]x=\sqrt{105.1}[/tex]

[tex]x=10.25[/tex]

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

Learn more about quadratic equation here:

https://brainly.com/question/1214333

#SPJ2

Answer:

Step-by-step explanation:

Given the first two numbers of a sequence as 2, 6...

If it is an arithmetic difference, the common difference will be d = 6-2 = 4

Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d

a is the first term = 2

d is the common difference = 4

n is the number if terms

Substituting the given values in the formula.

Nth term Tn = 2+(n-1)4

Tn = 2+4n-4

Tn = 4n-4+2

Tn = 4n-2

2) If the sequence us a geometric sequence

Nth term of the sequence Tn = ar^(n-1)

r is the common ratio

r is gotten by the ratio of the terms I.e

r = T2/T1

r = 6/2

r = 3

Since a = 2

Tn = 2(3)^(n-1)

Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)

Answer:

1. true

2. true

3. false

4. false

5. true

6. false

7. fase

8. true

[tex]\frac{P_{1}V_{1} }{T_{1} } = \frac{P_{2}V_{2} }{T_{2} }[/tex]

Let's start off by multiplying each side by [tex]T_{1}[/tex]

[tex]P_{1}V_{1} } = \frac{P_{2}V_{2} T_{1} }{T_{2} }[/tex]

Divide each side by [tex]P_{1}[/tex]

[tex]V_{1} = \frac{P_{2}V_{2} T_{1} }{T_{2}P_{1} }[/tex]

Answer:

none of them are correct

Step-by-step explanation:

Answer:

that is already in scientific notation

Step-by-step explanation:

if you are asking for what's the actual number, then it's 0.000678

Inversely proportional means as one variable increases the other variable decreases.

In this problem, x is doubled which means it's increased, therefore, y is decreased.

7 / 2 = 3.5

The new value of y is 3.5

Step-by-step explanation:

[tex]y = ax + b \\ a = \frac{y1 - y2}{x1 - x2} = 3 \\ y = 3x - 1 \\ y = (3 \times 4) - 1 = 11 = k[/tex]

Answer:C 1.2x 10^-6

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

[tex] x - 5 + \frac{x}{2} + 6 = 13 [/tex]

Solve to find the value of x

[tex] \frac{2x - 10 + x + 12}{2} = 13 [/tex]

[tex] \frac{3x + 2}{2} = 13 [/tex]

Multiply both sides by 2

[tex] \frac{3x + 2}{2}*2 = 13*2 [/tex]

[tex] 3x + 2 = 26 [/tex]

Subtract 2 from both sides

[tex] 3x + 2 - 2 = 26 - 2 [/tex]

[tex] 3x = 24 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{24}{3} [/tex]

[tex] x = 8 [/tex]

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in

Answer:

f=0.67

Step-by-step explanation:

Let's solve your equation step-by-step by isolating f.

9f=12f−2

Step 1: Subtract 12f from both sides.

9f−12f=12f−2−12f

You get:

−3f=−2

Step 2: Divide both sides by -3.

−3f/−3 = −2/−3

You get:

f= 2/3, or f= 0.67

Hope this helps! :)

Answer: X = 50

Step-by-step explanation:

Add 10 to both sides

2x = 100

divide by 2

x= 50

Answer:

x=50

Step-by-step explanation:

Answer:

A linear pair consists of supplementary angles

Step-by-step explanation:

Because a linear pair is 2 lines that form an 180 degree angle.

The statement that best describes a linear pair is that  A linear pair consists of supplementary angles. The correct option is B.

When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.

for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.

If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two angles are two pairs of linear angles. That means, that if linear angles are aligned adjacent to each other, their exterior sides will make a straight line.

Further, since the angle at any side of a line is 180°. Therefore, the sum of these two angles will be equal to 180°.

Hence, the statement that best describes a linear pair is that  A linear pair consists of supplementary angles.

Learn more about supplementary angles here:

https://brainly.com/question/2882938

#SPJ2

Answer:

I hope it will help you :)

Answer:

6! = 720

3! - 2! = 12

6!/3!= 120

Step-by-step explanation:

just finished the assignment.

Answer:

16in ^2

Step-by-step explanation:

4*4

Answer:

Area of rectangle is 16

Step-by-step explanation:

Area of rectangle = base, 4, times the height, 4

Area of rectangle = 4 times 4

Area of rectangle = 16

Answer:

Standard Form:-w^12+4w^11

Degree: 12 degree

Leading Coefficient: -1

Step-by-step explanation:

Standard Form: Order the exponents from greatest to least.  

Degree: The largest exponent is the degree; the exponent in the first term, IF it is in standard form.

Leading Coefficient: The coefficient of the first term in standard form.  There is and understood 1 before the w in the first term.

The required answers are given below,

Standard Form:-w¹²+4w¹¹

Degree: 12 degree

Leading Coefficient: -1

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Standard Form: Order the exponents from greatest to least. The largest exponent is the degree; the exponent in the first term, IF it is in standard form.

Leading Coefficient: The coefficient of the first term in standard form. There is an understood 1 before the w in the first term.

The answers are given as below,

Standard Form:-w¹²+4w¹¹

Degree: 12 degree

Leading Coefficient: -1

To know more about polynomials follow

https://brainly.com/question/2833285

#SPJ5

Answer:

5.5

Step-by-step explanation:

5.477

Rounded to the nearest tenth it will be

5.5

Answer:Square Root of 30 to the nearest tenth, means to calculate the square root of 30 where the answer should only have one number after the decimal point.

Here are step-by-step instructions for how to get the square root of 30 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 30 to be:

√30 = 5.47722557505166

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

5.47

Step 3: Round

Round 5.47 so you only have one digit after the decimal point to get the answer:

5.5

To check that the answer is correct, use your calculator to confirm that 5.52 is about 30.

Step-by-step explanation: I HOPE I HELPS

Answer:

2/7(x+4)=−6

or x+4 = -(6*7)/2

or x+4 = -21

0r x= -25

Answer:

k = -3

Step-by-step explanation:

-7(2 + k) = 7

Divide both sides by (-7)

2 + k = 7/-7

2 + k = -1

Subtract 2 form both sides

   k = -1 - 2

k = -3

Answer:

k = -3

Step-by-step explanation:

[tex]-7(2+k)=7\\\\-14-7k=7\\\\-14+14-7k=7+14\\\\-7k=21\\\\\frac{-7k=21}{7}\\\\\boxed{k=-3}[/tex]

Hope this helps.