I picked true but it told me it was incorrect, I looked it up and it says true, so is this statement really true or not?

Answer:

(3/8) ^2

Step-by-step explanation:

P ( male history teacher) = Number males/ total

                                         = 3/8

Assuming nothing changes in year two

P ( male history teacher year two) = Number males/ total

                                         = 3/8

P( male, male) = 3/8 * 3/8 = (3/8) ^2

(3/8)^2 would be your answer.

Since there are 3 male and 5 female, that means there are 3/8 male and 5/8 female. We are talking about male and how many times it would happen in 2 years, so (3/8)^2 would be your answer.

Answer:

A.

f(x+1)=5/2f(x) with f(1)=3/2

Step-by-step explanation:

So we are looking for a recursive form of

[tex]f(x)=\frac{3}{2}(\frac{5}{2})^{x-1}[/tex].

This is the explicit form of a geometric sequence where [tex]r=5/2[/tex] and [tex]a_1=\frac{3}{2}[/tex].

The general form of an explicit equation for a geometric sequence is

[tex]a_1(r)^{n-1} \text{ where } a_1 \text{ is the first term and } r \text{ is the common ratio}[/tex].

The recursive form of that sequence is:

[tex]a_{n+1}=ra_n \text{ where you give the first term value for } a_1[/tex].

So we have r=5/2 here so the answer is A.

f(x+1)=5/2f(x) with f(1)=3/2

By the way all this says is term is equal to 5/2 times previous term.

Answer:

A

Step-by-step explanation:

Edge 2021

Answer:

[tex]\theta=\frac{\pi}{3}, \frac{5\pi}{3}[/tex].

Step-by-step explanation:

[tex]2\cos(\theta)+2=3[/tex]

Subtract 2 on both sides:

[tex]2\cos(\theta)=3-2[/tex]

Simplify:

[tex]2\cos(\theta)=1[/tex]

Divide both sides by 2:

[tex]\cos(\theta)=\frac{1}{2}[/tex]

Now let's refer to the unit circle... When is the x-coordinate, 1/2?

There are 2 places this happens on [0,2pi].

One is in the first quadrant and the other in the fourth quadrant.

It is at [tex]\theta=\frac{\pi}{3}, \frac{5\pi}{3}[/tex].

Answer:

the answer is 82

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

just use a calculator

Answer:

4

Step-by-step explanation:

The standard form of a circle is:

(x-h)^2+(y-k)^2=r^2

where (h,k) is the center and

r is the radius.

You compare your equation to mine you should see that:

-h=7 implies h=-7

-k=7 implies k=-7

r^2=16 implies r=4 since 4^2=16

The center is (-7,-7).

The radius is 4.

For this case we have that by definition, the equation of a circle in standard or canonical form is given by:

[tex](x-h) ^ 2 + (y-k) ^ 2 = r ^ 2[/tex]

Where:

(h, k) is the center

r: It's the radio

We have the following equation:

[tex](x + 7) ^ 2 + (y + 7) ^ 2 = 16\\(x + 7) ^ 2 + (y + 7) ^ 2 = 4 ^ 2[/tex]

Thus, the radius is 4.

Answer:

4

For this case we have that by definition, the sum of the internal angles of a triangle is 180 degrees.

Then, according to the figure we have:

[tex][180- (6x + 1)] + 79+ (2x + 10) = 180[/tex]

We operate parentheses:

[tex]180-6x-1 + 79 + 2x + 10 = 180[/tex]

We add similar terms:

[tex]-4x + 268 = 180\\-4x = 180-268\\-4x = -88\\x = \frac {-88} {- 4}\\x = 22[/tex]

Thus, x has a value of 22 degrees.

Answer:

Option D

Answer:

(D) x= 22

Step-by-step explanation:

Answer:

quintic

Step-by-step explanation:

I will assume you mean

-3x^5

This is to the degree 5, since it is to the 5th power

cubic   3rd power

quadratic  2nd power

quintic  5th power

constant 0th power

Answer:

Quintic polynomial is a polynomial with degree 5

Step-by-step explanation:

[tex]-3x^5[/tex]

Given polynomial has degree 5 . Its a 5th degree polynomial

Cubic polynomial has degree 3

Quadratic polynomial has degree 2

Constant is a polynomial with a number without any variable like 2 or 4 or 15

Quintic polynomial is a polynomial with degree 5. Given polynomial has degree 5 . So it is Quintic

Using the law of sins:

Sin(angle) = Opposite Leg / Hypotenuse

Sin(30) = AB /10

Solve for AB:

AB = 10 * sin(30)

AB = 10 * 1/2

AB = 5

The answer is A.

Answer:

x= 5/3

Step-by-step explanation:

3x- 5 = 1

first you have to move the constant or in this case the 5 to the other side to isolate x so to do that you have to ad 5 from both sides, that way itll cancel out from the left and add on the right

3x= 5

now, to isolate x, we have to divide by 3, that way you get

x= 5/3

Answer:

value of a.b = -4

Step-by-step explanation:

We need to find a.b

a= 4i-4j

b = 4i+5j

We know that i.i =1, j.j=1, i.j =0 and j.i=0

a.b = (4i-4j).(4i+5j)

a.b = 4i(4i+5j)-4j(4i+5j)

a.b = 16i.i +20i.j-16j.i-20j.j

a.b = 16(1) +20(0)-16(0)-20(1)

a.b = 16 +0-0-20

a.b = 16-20

a.b =-4

So, value of a.b = -4

ANSWER

[tex]a \cdot \: b = - 4[/tex]

EXPLANATION

The dot product of two vectors

[tex]a = xi + yj[/tex]

and

[tex]b = mi + nj[/tex]

is given by

[tex]a \cdot \: b = mx + ny[/tex]

The given vectors are:

[tex]a = 4i - 4j[/tex]

[tex]b = 4i + 5j[/tex]

Applying the above definition of dot products, we obtain:

[tex]a \cdot \: b = 4 \times 4 + - 4 \times 5[/tex]

[tex]a \cdot \: b = 16 - 20[/tex]

[tex]a \cdot \: b = - 4[/tex]

Answer:

see explanation

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 5x + 4 ( subtract 4 from both sides )

y - 4 = 5x ( divide both sides by 5 )

[tex]\frac{y-4}{5}[/tex] = x

Change y back into terms of x

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-4}{5}[/tex]

Answer:

Just reverse the order. So double 31 is 62 then subtract 5. 57

Answer:

C) The variable x represents the independent variable.

Step-by-step explanation:

The given function is [tex]g(x)=-2x^2+5[/tex].

g(x) is NOT the multiplication of g and x because g is a function of x.

[tex]x[/tex] is the input of the function.

[tex]-2x^2+5[/tex] is the output of the function.

The variable [tex]x[/tex] is called the independent variable because we plug in values of x to find g.

The variable g represents the output of the function NOT the input.

The correct choice is C

Answer:

I know it has nothing to do with Christianity, so C and D are wrong. It's either A or B, but I'm more with the A. But I'm not sure so...

Answer:

The answer is -1

Step-by-step explanation:

f(x) = 2x³ + x² - 3x - 1  

f(1) = 2(1)³ + (1)² - 3(1) - 1

f(1)= 2 + 1 - 3 - 1

f(1)=3-3-1

f(1)=0-1

f(1)= -1

Thus the answer is -1 ....

Answer:

-1

Step-by-step explanation:

Check the picture below.

something noteworthy to look at is that the graph doesn't cross the x-axis at -2, it simply comes down to it, touches it and it goes back up, it simply bounces off the x-axis, whenever that happens, that zero/solution/root has an even multiplicity.

when 0 = ax² + bx + c, we notice that y = 0, and for the graph that happens there, at x = -2, but that solution has an even multiplicity, and since the equation is a 2nd degree polynomial, thus x = -2 is there twice, namely

x = -2

x - 2 = 0

(x - 2)² = 0   <---- multiplicity of 2.

Answer:

-2

Step-by-step explanation:

:)

Answer:

cross multiplication

Step-by-step explanation:

bearing in mind that perpendicular lines have negative reciprocal slopes, let's find the slope of the provided line then

[tex]\bf y=\stackrel{\stackrel{m}{\downarrow }}{-15}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-15\implies -\cfrac{15}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{1}{15}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{15}\implies \cfrac{1}{15}}}[/tex]

well, we know the x-intercept is at x = 3, recall when a graph intercepts the x-axis y = 0, so this point is (3 , 0).  Then we're really looking for the equation of a line whose slope is 1/5 and runs through (3 , 0).

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{0})~\hspace{10em} slope = m\implies \cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=\cfrac{1}{5}(x-3)\implies y=\cfrac{1}{5}x-\cfrac{3}{5}[/tex]

Answer:

Step-by-step explanation:

[tex]5x^2-2x+16=4x^2+6x\qquad\text{subtract}\ 4x^2\ \text{from both sides}\\\\x^2-2x+16=6x\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\x^2-8x+16=0\\\\\text{Put the values of}\ x\ \text{to the equation and check the equality:}\\\\A.\ x=-6\\\\(-6)^2-8(-6)+16=36+48+16=100\neq0\\\\B.\ x=6\\\\6^2-8(6)+16=36-48+16=4\neq0\\\\C.\ x=-3\\\\(-3)^2-8(-3)+16=9+24+16=49\neq0\\\\D.\ x=-4\\\\(-4)^2-8(-4)+16=16+32+16=64\neq0\\\\E.\ x=4\\\\4^2-8(4)+16=16-32+16=0\\\\F.\ x=18\\\\18^2-8(16)+16=324-128+16=212\neq0[/tex]

Answer:

E

Step-by-step explanation:

Answer:

(see attachment)

Step-by-step explanation:

With an absolute value graph, if the number is inside the brackets you move the graph in the opposite direction.

(Btw you should use Desmos. That's what I use all the time and it is a LIFESAVER)

(Also can I please have Brainliest, I need it to level up)

The graph of the function y = |x - 3| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = |x - 3|

The above function is an absolute function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

Read more about functions at

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Answer:

(x+5)^2=34

Solutions: ≈ -10.831, 0.831

Step-by-step explanation:

First you divide the second term by two to complete the square.  The second term divided by two is 5, 5^2 is 25 which means you need a value of 25 to factor.  Add 3 to both sides so you have a value of 25 on the left side.

x^2+10x+25=34  Next, factor the left side.

(x+5)^2=34  

The solutions to this equation are not rational, you could use the quadratic formula to find the exact answer or put the equation into a graphing calculator to find approximate solutions.

Answer:

1) 396

2) 20 1/2

3) 26.6

4) 8x + 56

5) 66 + 6x

6) 8x + 8

Step-by-step explanation:

* Lets explain how to solve the product mentally

# Remember the distributive property can help you to find the product

  mentally the distributive property ⇒ a(b + c) = ab + ac

- Lets solve them

1)

- In 9 × 44 we can write 44 as (40 + 4)

∴ 9 × 44 = 9(40 + 4)

∵ 9(40 + 4) = 9 × 40 + 9 × 4

- Now lets multiply 9 by 40 and 9 by 4

∵ 9(40) = 360

∵ 9(4) = 36

∴ 9 × 40 + 9 × 4 = 360 + 36 = 396

∴ 9 × 44 = 396

2)

- In 4 × 5 1/8 we can write 5 1/8 as (5 + 1/8)

∴ 4 × 5 1/8 = 4(5 + 1/8)

∵ 4(5 + 1/8) = 4 × 5 + 4 × 1/8

- Now lets multiply 4 by 5 and 4 by 1/8

∵ 4(5) = 20

∵ 4(1/8) = 1/2

∴ 4 × 5 + 4 × 1/8 = 20 + 1/2 = 20 1/2

∴ 4 × 5 1/8 = 20 1/2

3)

- In 7 × 3.8 we can write 3.8 as (3 + 0.8)

∴ 7 × 3.8 = 7(3 + 0.8)

∵ 7(3 + 0.8) = 7 × 3 + 7 × 0.8

- Now lets multiply 7 by 3 and 7 by 0.8

∵ 7(3) = 21

∵ 7(0.8) = 5.6

∴ 7 × 3 + 7 × 0.8 = 21 + 5.6 = 26.6

∴ 7 × 3.8 = 26.6

- The distributive property ⇒ a(b + c) = ab + ac

4)

- In 8(x + 7) we will multiply 8 by x and 8 by 7 and add them

∵ 8 × x = 8x

∵ 8 × 7 = 56

∴ 8(x + 7) = 8x + 56

5)

- In 6(11 + x) we will multiply 6 by 11 and 6 by x and add them

∵ 6 × 11 = 66

∵ 6 × x = 6x

∴ 6(11 + x) = 66 + 6x

6)

- In 8(x + 1) we will multiply 8 by x and 8 by 1 and add them

∵ 8 × x = 8x

∵ 8 × 1 = 8

∴ 8(x + 1) = 8x + 8

Answer:

on plato the answer is B, it reads the same as the answer c does on this example. Please make sure that you read the answers and match them up with the correct one on your side.

Step-by-step explanation:

Using the information provided, Michael's height changes from above to below the platform every 40 seconds for the second roller coaster. However, without more concrete information regarding the first roller coaster, a definitive answer for that cannot be provided.

The topic in discussion here is the modeling of Michael's height changes on two different roller coasters using functions and graphs. Given the question, we can observe that the second roller coaster's height variations follow a pattern corresponding to a trigonometric function, changing from 0, to 50, to 100, and so forth, then repeating. From this pattern, we can infer that Michael's height on the second roller coaster oscillates from a positive value (above the platform) to a negative value (below the platform) and back every 40 seconds since the value of g(t) changes from positive to negative (or vice versa) at each 40-second interval.

However, without the details of the first roller coaster's function or graph, we cannot accurately determine how often Michael's height on the first coaster changes from positive to negative. Therefore, based on the given information, we cannot definitively choose between the provided answer options.

https://brainly.com/question/5449909

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Answer:

V ≈ 915.7 cm³

LA ≈ 411.3 cm²

SA ≈ 596.9 cm²

Step-by-step explanation:

Volume of a pyramid is:

V = ⅓ Bh

where B is the area of the base and h is the height.

The base is a regular octagon.  The area of a regular octagon is 2(1 + √2) s², where s is the side length.

Substituting:

V = ⅔ (1 + √2) s² h

Given that s = 6.2 and h = 14.8:

V = ⅔ (1 + √2) (6.2)² (14.8)

V ≈ 915.7 cm³

The lateral surface area is the area of the sides of the pyramid.  Each side is a triangular face.  We know the base length of the triangle is 6.2 cm.  To find the area, we first need to use geometry to find the lateral height, or the height of the triangles.

The lateral height and the perpendicular height form a right triangle with the apothem of the octagon.  If we find the apothem, we can use Pythagorean theorem to find the lateral height.

The apothem is two times the area of the octagon divided by its perimeter.

a = 2 [ 2(1 + √2) s² ] / (8s)

a = ½ (1 + √2) s

a ≈ 7.484

Therefore, the lateral height is:

l² = a² + h²

l ≈ 16.58

The lateral surface area is:

LA = 8 (½ s l)

LA = 4 (6.2) (16.58)

LA ≈ 411.3 cm²

The total surface area is the lateral area plus the base area.

SA = 2(1 + √2) s² + LA

SA = 2(1 + √2) (6.2)² + 411.3

SA ≈ 596.9 cm²

The volume is 915.7 cm³

The lateral surface area is 411.3 cm²

The total surface area is 596.9 cm²

Think for a minute.

CA = 17, right?

CZ is the remaining part of CA.

ZA = 16

CZ = CA - ZA

CZ = 17 - 16

CZ = 1

Did you follow?

Answer:

D  1

Step-by-step explanation:

CA = CZ + ZA

WE know CA = 17 and ZA = 16

17 = CZ + 16

Subtract 16 from each side

17-16 = CZ +16-16

1 = CZ

Answer:

50

Step-by-step explanation:

20 / (2/5)

To divide by a fraction, multiply by the reciprocal.

20 × (5/2)

50

He can feed 50 cats.

50 cats

20 pounds is 100/5 pounds when written with a denominator of 5. Then you divide 100 by 2 and get 50.

Answer:

B.

Step-by-step explanation:

You pay a one time fee of 18 dollars and then 2 dollars per ride.

The expression for that is 18+2r where r represents the number of rides and the output of (18+2r) is amount you spend.

f(r)=2r+18 when compared to f(x)=mx+b where m is slope and b is y-intercept

you should see that the slope is $2 per ride.

B. is the option that says this.

Answer: Option B

Her total cost increases by $2, for each ride purchased

Step-by-step explanation:

We know that $ 18 is the cost of the ticket. We do not know exactly how many trips you will make, but we know that the cost is $ 2 for each ride.

If we call "x" the number of rides then we know that the total cost "y" is:

[tex]y = 2x + 18[/tex]

Note that the cost increases by $2 for each ride

The equation of a line has the following form

[tex]y = mx + b[/tex]

Where m is the slope of the line.

In this case we have the following equation

[tex]y = 2x + 18[/tex]

Therefore [tex]m = 2[/tex]. Then the slope is the cost of $2 for each ride

Finally the answer is the option B.  Her total cost increases by $2, for each ride purchased

Answer:

y=(3/2)x+-14

First blank: 3

Second blank:2

Last blank:-14

Step-by-step explanation:

The line form being requested is slope-intercept form, y=mx+b where m is slope and b is y-intercept.

Also perpendicular lines have opposite reciprocal slopes so the slope of the line we are looking for is the opposite reciprocal of -2/3 which is 3/2.

So the equation so far is

y=(3/2)x+b.

We know this line goes through (x,y)=(4,-8).

So we can use this point along with our equation to find b.

-8=(3/2)4+b

-8=6+b

-14=b

The line is y=(3/2)x-14.

Answer:

b

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(a)

2x + 3y = 1 ( subtract 2x from both sides )

3y = - 2x + 1 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← in slope- intercept form

with y- intercept c = [tex]\frac{1}{3}[/tex] ← does not pass through the origin

(b)

2x + 3y = 0 ( subtract 2x from both sides )

3y = - 2x + 0 ( dividing all sides by 3 ), gives

y = - [tex]\frac{2}{3}[/tex] x + 0 ← in slope- intercept form

with y- intercept c = 0 ← passes through the origin

(c)

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide all terms by 3 )

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

with y- intercept c = 2 ← does not pass through the origin