Solve for x 2(4-3x)=20

if the terminal point indicated by t is in the provided quadrant, the first equation in terms of the second quadrant iv; cos(t), sin(t). [tex]\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}[/tex]

Trig identities come in handy when we need to express one trig function in terms of another. The most famous trig identity is derived straight from the Pythagorean Theorem:

sin² t +  cos² t = 1

For an angle t in Quadrant IV, we know sin t is positive.

From the trig identity sin² t +  cos² t = 1

we can also write as:

sin t + cos t:

Now,

sin² t + cos² t = 1

sin² t   = 1 -  cos² t

sin t = ±√( 1 -  cos² t)

As noted above,

sin t is positive for t in the Quadrant IV, and so we have

sin t = √( 1 -  cos² t)

We know that

[tex]\cos t=\frac{1}{\sec t}[/tex]

So, the equation will be

[tex]\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}[/tex]

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The equation of the parabola that models the given situation is y=-1/6 (x-3)^2 +1.5.

Define parabola and its types.

A parabola is a roughly U-shaped mirror-symmetrical plane curve. It corresponds to a number of seemingly unrelated mathematical descriptions that all define the same curves.

To represent a parabola algebraically in the coordinate plane, the standard equation of a parabola is used. The general equation of the parabola is given by [tex]$\mathrm{y}=a(x-h)^2+\mathrm{k}$[/tex]or [tex]$\mathrm{x}=a(y-k)^2+\mathrm{h}$[/tex], where [tex]$(\mathrm{h}, \mathrm{k})$[/tex] denotes the vertex. A regular parabola's standard equation is y^2= 4ax

Now, the equation of parabola for the given situation is calculated as:

y=a(x-3)^2 +1.5

Now, put the value of x=0 and y=0.

0=a(0-3)^2+1.5

0=9 a+1.5

-9 a=1.5

a=-1.5 / 9

a=-1 / 6

Now, put the value of a in equation[tex]$\mathrm{y}=a(x-3)^2+1.5$[/tex] to obtain:

y=-1/6 (x-3)^2 +1.5

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Answer:

F ' (-12, 8)

U ' (4, 4)

N ' (-4, -16)

===================================================

Explanation:

I'm assuming the center of dilation is the origin.

Multiply each coordinate by the scale factor 2.

For point F, the x coordinate goes from -6 to  2*(-6) = -12. The y coordinate goes from 4 to 2*4 = 8

So F(-6,4) moves to F ' (-12, 8)

Use this idea for the other points.

If the center of dilation wasn't the origin, then we can't use this shortcut (not until translating the center to the origin).

Sonny get 240=240 because  the cross products of the proportion are equal.

Proportion : Two ratios are said to be in proportion when the two ratios are equal.

For Example , If Smith walks 5 km in 1 hour then he will walk 25 km in 5 hours. denoted by

[tex]\frac{5}{1} =\frac{25}{5} \\ \\ 5=5[/tex].

According to the given question the equation can be written as

[tex]\frac{16}{x} =\frac{48}{15}[/tex]

Sonny substituted 5 for x in the proportion , the equation can be written as

[tex]\frac{16}{5} =\frac{48}{15} \\ \\ Doing .the .cross.product\\ \\ 16*15=48*5\\ \\ 240=240[/tex]

Therefore , Sonny get 240=240 because  the cross products of the proportion are equal.

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Answer:

A.  {-4, 2, 3, 8}

Step-by-step explanation:

The range of a function is the set of all possible output values (y-values).

From inspection of the graph, the coordinates of the points are:

Therefore, the set of y-values is {-4, 2, 3, 8}.  This is the range of the graphed function.

Answer:

2(x^9)(y^2)

Step-by-step explanation:

I just did quick math on this one, but you combine like terms on the top then divide by the bottom terms...

Answer:

(-3/2 ; -3/2)

Step-by-step explanation:

Midpoint (x;y)

x = (x1+x2)÷2 = (-5+2)÷2 = -3/2

y = (y1+y2)÷2 = (-7+4)÷2 = -3/2

Therefore midpoint = (-3/2 ; -3/2)

0.45  is the probability someone who studies very hard for the bar passe.

What is probability?

Odds of passing = 1.22  = p ( passing)/ P(not passing)

P(Pass)/P( fail)  = 1.22

p (pass) = 1.22 p (fail)

P(pass) + P(fail) = 1

1.22 p (fail) + p(fail) = 1

2.22 p(fail) = 1

P (fail) = 0.4505   ≅ 0.45

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The scale of the drawing is 36 inches.

So, it is given that the house's driveway is 3 inches wide in the drawing and the actual driveway is 15 feet wide.

Therefore, the scale of the drawing is 36 inches.

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The correct question is given below:
Albert measured a house and its lot and made a scale drawing. The house's driveway is 3 inches wide in the drawing. The actual driveway is 15 feet wide. What is the scale of the drawing? 1 inch: feet

Answer:

Step 2

1 2/3 was converted as 5/2 instead of 5/3

Step-by-step explanation:

Each batch = 1 2/3

Total = 10 5/6

Number of batches

10 5/6 : 1 2/3 =

65/6 : 5/3 =

65/6 * 3/5 =

65/10 =

6.5

Solution by Janice:

10 5/6 : 1 2/3 =

65/6 : 5/2 =

65/6 * 2/5 =

130/30 =

4 1/3

Error made at step 2:

StartFraction 65 over 6 EndFraction divided by five halves = StartFraction 65 over 6 EndFraction times StartFraction 2 over 5

1 2/3 was converted as 5/2 instead of 5/3

Answer:

The Ans. {2, 3, 4, 5}

Step-by-step explanation:

5x – 2 ≥ 8 when we will replace the given values{1, 2, 3, 4, 5} insted of X we get true solution set by {2, 3, 4, 5}

Answer:

3m + 4 is the answer obtained after combining like terms

La partie « Exercez-vous »

➺ Exercez-vous

Je m'appelle Catherine… elle est italienne… Il est

anglais. – Et vous, vous êtes française ? – Oui, je suis

française.

➺ Exercez-vous

« vous » entre adultes qui ne se connaissent pas (dessin du haut) – « tu » entre étudiants (dessin du

milieu) quand un adulte s'adresse à un enfant (dessin

du bas).

Answer:

1 1/3 or 4/3

Step-by-step explanation:

order of operations

If Mei spent $66 buying fabric that costs $7.50 per yard, then she bought 8.8 yards of fabric

Given,

The total amount Mei spent = $66

Cost of fabric = $7.50 per yard

How many yards of fabric Mei bought= Total amount she spent / Cost of fabric

Substitute the values and divide it

How many yards of fabric Mei bought = [tex]\frac{66}{7.50}[/tex]

=8.8 yards

Hence, if Mei spent $66 buying fabric that costs $7.50 per yard, then she bought 8.8 yards of fabric

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The greatest and the only common factor in the given expression 3x²y³-48y²+18x³y⁵ is 3.

So, 3x²y³-48y²+18x³y⁵:

So, we can also write the expression as:

Therefore, the greatest and the only common factor in the given expression is 3.

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Answer:

2(-2-8)

Step-by-step explanation:

The difference between -2 and 8 is -2-8. The product of 2 and the difference is (-2-8)*2 which is 2(-2-8).

The true statements regarding this situation are as follows:

The diagram is missing, but it is given on the graph at the end of the answer. (not drawn to scale)

The alternate interior angles are between the two parallel lines, one in each side, and they are congruent.

Hence:

Angles 3 and 6 are congruent because they are alternate interior angles.

Straight angles are angles of 180º on a line, hence:

Angles 1 and 3 add to 180º as they are straight angles.

Since angles 3 and 6 are congruent(alternate interior), angles 1 and 6 will also be supplementary, as they add to 180º.

A similar problem, in which a transversal cuts two parallel lines, is given at the end of the answer.

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Answer: $0.77

Step-by-step explanation:

1.53/2=

0.765=

0.765=$0.77

Answer:

s/2πh

Step-by-step explanation:

dividing both sides by 2 will result in s/2 = πrh

dividing both sides by π will result in s/2π = rh

dividing both sides by h results in s/2πh = r

comment if you need further explanation

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The the rectangular solid with maximum volume for given surface area is, in fact, a cube with side 4.5.

Which formula represents the volume of a rectangular prism?

Let x = the side of the square base and y = height

Let V = volume = x2y

The surface area = 2x2 + 4xy = 121.5

Solve the surface area equation for y = (121.5 - 2x2)/4x and substitute this into the volume equation

V = x2(121.5 - 2x2)/4x = x(121.5 - 2x2)/4

the derivative of V with respect to x = (x/4)(-2x) + (1/4)(121.5 - 2x2) = 0 at the maximum

(1/4)(-4x2 + 121.5 - 2x2) = 0'

6x2 = 121.5

x2 = 20.25

x = 4.5

y = (121.5 - 40.5)/(4 * 4.5) =81/18 = 4.5

The the rectangular solid with maximum volume for given surface area is, in fact, a cube with side 4.5.

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The weighted average of the points in the line is 7.5

The points are given as

3 and 12

The weighted average of the points in the line is calculated as

Weighted average = Sum/Count

So, we have:

Weighted average = (3 + 12)/2

Evaluate

Weighted average = 7.5

Hence, the weighted average of the points in the line is 7.5

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The equation of the line in point-slope form is: y - 5 = -x + 2.

The equation of the line can be modelled as y - b = m(x - a), in point-slope form..

Given the following:

(2, 5) and (-1, 8), find the slope

Slope of the line (m) = change in y / change in x = (8 - 5)/(-1 - 2)

Slope of the line (m) = 3/-3

Slope of the line (m) = -1

Substitute (a, b) = (2, 5) and m = -1 into y - b = m(x - a):

y - 5 = -1(x - 2)

y - 5 = -x + 2

Therefore, the equation of the line in point-slope form is: y - 5 = -x + 2.

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The probability that a gorilla will live longer than 26 years is between 15.8 and 24.2 years.

Likelihood is the part of science concerning mathematical portrayals of how likely an occasion is to happen, or how likely it is that a recommendation is valid.

P (A) is the probability of an event “A”

n (A) is the number of favorable outcomes

n (S) is the total number of events in the sample space

The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 shows difficulty of the occasion and 1 demonstrates conviction. The higher the likelihood of an occasion, the almost certain it is that the occasion will happen. A straightforward model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly likely; the likelihood of "heads" approaches the likelihood of "tails"; and since no different results are conceivable, the likelihood of by the same token "heads" or "tails" is 1/2.

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Answer:

y = 8x - 3

Step-by-step explanation:

The point where the line crosses the y-axis is the y-intercept and the intercept we're looking for. We know the slope 8 and the intercept -3, so we can just provide the answer

[tex]\large\textsf{{Hi! In this problem we need to find the equation of a line}}\\\textsf{in slope-intercept form: \textbf{y=mx+b}, where \textbf{m} is the slope}\\\textsf{and \textbf{b} is the y-intercept}}.\\\\\\\\\textsf{The question provides us both the slope \& the y-intercept}\\\textsf{This means we can find the equation by}\\\textsf{plugging the numbers into the formula:}\\\\\textbf{y=mx+b}\\\\\textbf{y=8x+(-3)}\\\\\textbf{y=8x-3}\twoheadleftarrow\boldsymbol{Answer!}\ddot\smile[/tex]

Answer:

See below

Step-by-step explanation:

Plug in each number for x to test each equation

X=1

Y=-3x + 22 = - 3(1) + 22 = 19

X=3

Y= -3(3) + 22 = - 9 + 22 = 13

And so on, if they match the y row, then it's the correct answer

Answer: Kaelan spends more money. Kaelan spends 0.25 cents more.

Step-by-step explanation:please give brainliest if right.

The cans of paint that are needed is 25 cans.

It should be noted that the sides of the cube will be:

= 3✓2197

= 13

Each side is 13m

Therefore, the total surface area will be:

= 6s²

s = sides

= 6(13)²

= 1014m²

Therefore, the cans needed will be:

= 1014/40

= 25

Therefore, 25 cans are needed.

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Answer:

7 (x + 1)

Hope this helps :)

Step-by-step explanation:

The equation above shows the statement, "Seven times the sum of a number and 1."