There were 15 birds in the park. Some (n) of them flew away. Which expression could be
used to figure out how many birds are still remaining in the park?

Answer:

x=4

Step-by-step explanation:

There

Answer: 90 dergrees

Step-by-step explanation: 90 dergrees

Check the picture below.

Answer:

y = ¼(x-4)

Step-by-step explanation:

Before solving the question, let's look at one example,

In this case, y is directly proportional to (x-4) means that y∝(x-4) which can also mean that y=k(x-4).

Hence, to find the value of k, substitute x=16, y=3 into y=k(x-4),

3=k(16-4)

k=3/12

k=1/4

After that, substitute the k value into the equation,

Answer:

gradient:  1/4; y-intercept:  3

Step-by-step explanation:

In math, 'gradient' is another word for slope.

Here we have y = (1/4)x + 3.  The coefficient of x is the slope or gradient:  1/4.  The y - intercept is 3:  (0, 3).

Answer:

Step-by-step explanation:

The equation is in y = mx + b form.

Here, m is the slope or gradient and b is the y-intercept.

[tex]y =\dfrac{1}{4}x+3\\\\\\Gradient =\dfrac{1}{4}[/tex]

y-intercept = 3

Answer:

318 mi²

Explanation:

Area of Vertical rectangle:-

Area of horizontal rectangle

Area of triangle

Total:-

Answer:

5[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Glass: [tex]\frac{2}{3}[/tex] × 10

Hours: 1[tex]\frac{1}{4}[/tex]

1) Find the real value. He drinks [tex]\frac{20}{3}[/tex] glasses of water in 1[tex]\frac{1}{4}[/tex] hours. 1[tex]\frac{1}{4}[/tex] × [tex]60[/tex] gives us the minutes because 1 hour is 60 minutes.

Glass : Minutes:

[tex]\frac{20}{3}[/tex]      :    [tex]75[/tex]

2) Use ratio to find the value of one. 60 ÷ 75 gives us 0.8. Multiply [tex]\frac{20}{3}[/tex] by 0.8 or [tex]\frac{8}{10}[/tex].

Glass : Minutes

  [tex]\frac{16}{3}[/tex]        :  60

3) Convert [tex]\frac{16}{3}[/tex] into a mixed number.

= 5[tex]\frac{1}{3}[/tex]

Answer:

The correct answe is H , if yu sub the x value in each of the equations yu should get y

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex]

To find the slope of a line (m):

To find the y-intercept of a line (b):

We're given a set of coordinates for this linear relation.

First, solve for the slope.

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

⇒ Plug in any two points that fall on the line (in this case we used (-2,-7) and (2,1)):

[tex]m=\dfrac{1-(-7)}{2-(-2)}\\\\m=\dfrac{1+7}{2+2}\\\\m=\dfrac{8}{4}\\\\m=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex]:

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

Now, let's solve for the y-intercept (b)

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

Plug in any of the given points:

[tex]1=2(2)+b\\1=4+b\\b=-3[/tex]

Therefore, the y-intercept of the line is 3. Plug this back into [tex]y=2x+b[/tex]:

[tex]y=2x-3[/tex]

[tex]y=2x-3[/tex]

Answer:

answer A

Step-by-step explanation:

Option C is correct, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.

Speed is the time rate at which an object is moving along a path,

The Coriolis Effect causes moving objects, including air, to be deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere.

As air moves from the equator towards the poles, it experiences a change in latitude, which causes it to be deflected.

This deflection results in the formation of high-pressure and low pressure systems that move weather patterns around the globe.

The speed of the air is affected by a number of factors, including temperature, pressure, and the Coriolis Effect.

However, the Coriolis Effect does not directly affect the speed of the air as it moves from the equator towards the poles.

Therefore, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.

To learn more on Speed click:

https://brainly.com/question/28224010

#SPJ2

Answer:

-12g+32

Simplify and combine like terms.

The area of the composite figure from the image attached is 112.5 units²

The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.

From the given figure; we can break it down into:

The area of a parallelogram = b × h

where;

The area of a parallelogram =  9 × 6

The area of a parallelogram = 54 units²

The area of a rectangle = Length × breadth

The area of a rectangle = (9 × 3) units²

The area of a rectangle = 27 units²

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]

where;

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times 9 \times 7}[/tex]

The area of the triangle [tex]\mathbf{= 31.5 units^2}[/tex]

Therefore, the area of the composite figure is:

= 54 + 27 + 31.5

= 112.5 units²

Learn more about composite figures here:

https://brainly.com/question/15981553

Based on observation, in this polyhedron, there are a total of six vertices, nine edges, and five faces.

In geometry, this refers to the point where two line meet. In this case, the vertices are A, B, C, D, E, F for a total of six vertices.

This term refers to line segments, for example the line between B and C is an edge. Based on this, there are nine edges in this shape.

This refers to flat surfaces; in this, case the total of flat surfaces are five.

Learn more about geometry in: https://brainly.com/question/16836055

$340 × 24 (12 months in one year)

= $8160

Answer: [tex]\frac{6}{5}[/tex]x + 6

Step-by-step explanation:

       We will use the order of operations, also known as PEMDAS. See attached. Please note that we cannot do what is in the parentheses first because we have a variable, so we will distribute the 2 into it. Since this is an expression, I do not believe we can fully solve for x, but can only simplify.

       Given:

2(3/5x+3)

       Distribute:

2 * (3/5x) + (2 * 3)

6/5x + 6

       Answer:

[tex]\frac{6}{5}[/tex]x + 6

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$20953.80\\ P=\textit{original amount deposited}\dotfill & \$18000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &6 \end{cases} \\\\\\ 20953.80=18000[1+(\frac{r}{100})(6)]\implies \cfrac{20953.80}{18000}=1+\cfrac{6r}{100}[/tex]

[tex]\cfrac{20953.80}{18000}=\cfrac{100+6r}{100}\implies \cfrac{2095380}{18000}=100+6r\implies \cfrac{11641}{100}=100+6r \\\\\\ \cfrac{11641}{100}-100=6r\implies \cfrac{1641}{100}=6r\implies \cfrac{1641}{600}=r \\\\\\ \cfrac{547}{200}=r\implies \stackrel{\%}{2.735} = r[/tex]

Answer:

270

Step-by-step explanation:

90, 180, 270, and 360 are standard position because they hold a part of a 90 angle

Answer:

Step-by-step explanation:

Standard position means that you will move clockwise about the origin to create the angle.

Use the slope formula:-

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{1-4}{0-5}=\frac{-3}{-5} =\frac{3}{5}[/tex]

Second pair:-

[tex]\displaystyle\frac{2-7}{-2-3} =\frac{-5}{-5} =1[/tex]

If we multiply/divide a negative by a negative, we get a positive. :)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

A.)

Step-by-step explanation:

Try each choice to see which one works.

A.)

a_n = 4n + 10

a_5 = 4(5) + 10 = 30

a_6 = 4(6) + 10 = 34

a_7 = 4(7) + 10 = 38

Answer: A.)

Answer:

a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Step-by-step explanation:

Hey ojaswii!

Answer:

Logarithm is an exponent or index.

Step-by-step explanation:

[tex] \boxed{\rm \: log_{l}(l {}^{a} ) = a}[/tex]

Note: This is just a random formula

I expect this helps :)

[tex]\quad{\qquad\qquad\qquad\qquad{\bf ...}}[/tex]

Answer:

B

Step-by-step explanation:

Cut vertical but off vertcal axis.

A will produce a square and C and D will produce triangles.

Using proportions, it is found that the total cost of three bottles of detergent is of $11.55.

A proportion is a fraction of a total amount.

A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling, hence the price of each bottle is given by:

P = 4.40 x 1.25 = $5.50.

The store offers a 30% discount with the purchase of three or more bottles of the detergent, hence the total cost is given by:

T = (3 x 5.50) x 0.7 = $11.55.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

50.0in²

Step-by-step explanation:

C=2πr

25.12/2π=r

r=3.99(taking π=22/7)

Area=πr²

=22/7×(3.99)²=50.0in²

Answer:

10

Step-by-step explanation:

5! / (3! 2!)

[tex] \frac{5 \times 4 \times 3}{3 \times 2 \times 1} = 10[/tex]

Step-by-step explanation:

[tex] \frac{5}{ {x }^{2} + 6x + 8} = \frac{a}{x + 2} + \frac{b}{x + 4} \\ factorizing \: the \: denominator \: of \: the \: first \: term \\ {x}^{2} + 6x + 8 \\ {x}^{2} + 4x + 2x + 8 \\ ( {x}^{2} + 4x)( + 2x + 8) \\ x(x + 4) + 2(x + 4) \\( x + 2)(x + 4) \\ \\ \\ \\ \frac{5}{(x + 2)(x + 4)} = \frac{a}{x + 2} + \frac{b}{x + 4 } \\ multiplying \: by \: the \: lcm = (x + 2)(x + 4) \\ 5 = a(x + 4) + b(x + 2) \\ put \: x = - 4 \\ 5 = a( - 4 + 4) + b( - 4 + 2) \\ 5 = a(0) + b( - 2) \\ 5 = 0 - 2b \\ 5 = - 2b \\ b = \frac{5}{ - 2} \\ b = - 2 \ \frac{1}{2} \\ substituting \: b = - 2 \frac{1}{2} and \: put \: x = - 2 \\ 5 = a( - 2 + 4) + b( - 2 + 2) \\ 5 = a(2) + b(0) \\ 5 = 2a \\ a = 2 \frac{1}{2} \\ a + b = 2 \frac{1}{2} + ( - 2 \frac{1}{2} ) \\ 2 \frac{1}{2} - 2 \frac{1}{2} \\ a + b = 0[/tex]

Answer:

Step-by-step explanation:

#1. 5 and 51/2 since it has the greatest amount of dots  and  #2. 5.5, 6.0, and 8.0 since it has the least amount of dots

Answer:

1. 5 and 5 1/2

2. 5.5, 6.0 and 8.0

Step-by-step explanation:

1. Both shoe sizes had the most number of dots.

2. All three pearl sizes have the least number of dots.

Answer: x = -.6

Step-by-step explanation:

2(3x+5) = 6x + 10

10 = -6x

x = -.6

Answer:

Step-by-step explanation:

Find the zero's of f(x)

Answer:

[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]

(one real zero and 2 complex zeros)

Step-by-step explanation:

Given polynomial:

[tex]f(x)= 2x^3-12x^2+20x-16[/tex]

According to the Factor Theorem, if f(4) = 0 then (x - 4) is a factor of the given polynomial.

[tex]\implies f(x)=(x-4)(ax^2+bx+c)[/tex]

Expand the brackets:

[tex]\implies f(x)=ax^3+bx^2+cx-4ax^2-4bx-4c[/tex]

[tex]\implies f(x)=ax^3+(b-4a)x^2+(c-4b)x-4c[/tex]

Compare coefficients with the given polynomial:

[tex]\implies a=2[/tex]

[tex]\implies -4c=-16 \implies c=4[/tex]

[tex]\implies (b-4a)=-12 \implies b-8=-12 \implies b=-4[/tex]

Substitute the found values of a, b and c:

[tex]\implies f(x)=(x-4)(2x^2-4x+4)[/tex]

To find the zeros of f(x), set the function to zero and solve for x:

[tex]\implies (x-4)(2x^2-4x+4)=0[/tex]

[tex]\textsf{Therefore},\: (x - 4) = 0\: \textsf{ and }\: (2x^2-4x+4)=0[/tex]

[tex]\textsf{To solve}\: (2x^2-4x+4)=0\: \textsf{ use the quadratic formula}[/tex]

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Therefore:

[tex]\implies x=\dfrac{-(-4) \pm \sqrt{(-4)^2-4(2)(4)} }{2(2)}[/tex]

[tex]\implies x=\dfrac{4 \pm \sqrt{-16}}{4}[/tex]

[tex]\implies x=\dfrac{4 \pm \sqrt{16 \cdot -1}}{4}[/tex]

[tex]\implies x=\dfrac{4 \pm \sqrt{16}\sqrt{-1}}{4}[/tex]

[tex]\implies x=\dfrac{4 \pm 4i}{4}[/tex]

[tex]\implies x=1 \pm i[/tex]

Therefore, the zeros of the function are:

[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]

(one real zero and 2 complex zeros)

Answer:

Angle O is 64. m is 16.7 rounded to the nearest tenths place. n is 22.4 to the nearest tenths place.

Step-by-step explanation:

Angle O- 180-(26+90)

M- COS(26)=n/15

N- COS(26)=n/15^2+15^2=c^2

Step-by-step explanation:

could not find the formula ?

the volume is a cylinder is

ground area × height

the ground area is a circle, so we get

pi×r²×h

where r is the radius, h is the height.

therefore

pi×4.5²×2.9 = 184.4900286... ft³ ≈ 184.5 ft³