what is the meaning of the slope of mr taylor's line? pls help! a lot of points

Answer:

B

Step-by-step explanation:

And arithmetic sequence is a sequence in which the difference between each of the numbers are constant.

It is not A, because the difference between 3 and 9 is positive 6, and the difference between 9 and 81 is positive 72.

It is not C, because the difference between 4 and 1 is -3, and the difference between 1 and 4 is positive 3.

It is not D, because the difference between 2 and -2 is -4, and the difference between -2 and 2 is positive 4.

And it is B because the numbers maintain a constant difference between each other, which is -3.

Answer:

B

Step-by-step explanation:

An arithmetic sequence has a common difference (d) between consecutive terms.

The only sequence with a common difference is B

1 = 4 = - 3

- 2 - 1 = - 3

- 5 - (- 2) = - 5 + 2 = - 3

Answer:

He needs 0.075 lbs of sugar and 4.925 lbs of water.

Step-by-step explanation:

Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.

Note

5 lbs - 100%

x lbs - 1.5%

Write a proportion:

[tex]\dfrac{5}{x}=\dfrac{100}{1.5}[/tex]

Cross multiply:

[tex]100x=5\cdot 1.5\\ \\100x=7.5\\ \\x=\dfrac{7.5}{100}=0.075[/tex]

So, he needs 0.075 lbs of sugar and 5 - 0.075 = 4.925 lbs of water.

Answer: no

Step-by-step explanation:

Linear functions are straight lines and are also written in the form y=mx+b

The linearity of 3[g(x)] = x depends on the form of g(x). If g(x) is linear, such as g(x) = ax, then the equation is linear. Otherwise, if g(x) involves non-linear operations, the overall equation will not represent a linear function.

Whether or not the equation 3[g(x)] = x represents a linear function depends on the form of g(x). If g(x) is a linear function, then the equation represents a linear transformation. If g(x) is nonlinear, then the overall function is not linear.

For example, if g(x) = exp(3x), the relationship is non-linear due to the exponential function. However, if the g(x) function is a simple linear function like g(x) = a₁x, with a constant coefficient, the equation maintains its linearity. In this scenario, the function could even represent a constant multiple of the identity function, where g(x) = x/3.

It is important to note that in the context of mathematics, understanding whether a function is linear involves recognizing if it can be written in the form of g(x) = mx + b, where m and b are constants, and the function results in a straight line on a graph.

Answer:

C. 2π

Step-by-step explanation:

Given a wave of the equation y= a sin bx where a and b are constants, then the amplitude is a while the period is 360°/b.

360°= 2π radians  

For the provided function, the value of b =  

Thus period = 2π/1

=2π radians

Answer: 2 Pi

Step-by-step explanation:

Konichiwa~! My name is Zalgo and I am here to help you out today. If f were to equal -3, first we need to put -3 into the equation. It would look like "f(-3)=x^2". The answer to that equation is 9.

I hope that this helps! :T

"Stay Brainly and stay proud!" - Zalgo

Answer:

1st and 3rd options

Step-by-step explanation:

We have been given three scatter plots. We are asked to choose the plots with cluster.

We know that cluster in a dot plot is formed when many data points lie in a small interval.

We can see that graphs represented by 1st option and 3rd option have many data points in a small interval, therefore, 1st and 3rd options are correct choice.

Answer:

Step-by-step explanation:

Answer:

[tex]area = base \times hight 36 \times 18 \: ad perimeter \: base \times base \times hight \times hight36 \times 36 \times 18 \times 18[/tex]

Area is given by base * the Hight which gives the area of the pool

Answer:

B

Step-by-step explanation:

Circumference of a circle is:

C = 2πr

Area of a circle is:

A = πr²

The circumference of the well is 47 ft and the area of the well in the drawing is 0.641 cm².  If we say r is the radius of the circle on the drawing in centimeters and R is the actual radius of the well in feet, then:

47 = 2πR

0.641 = πr²

Solving for each:

R = 47 / (2π) ≈ 7.48 feet

r = √(0.641 / π) ≈ 0.452 cm

The scale is the ratio of R / r:

R / r = (7.48 ft) / (0.452 cm) = 16.6 ft/cm

So 1 cm = 16.6 ft.

This isn't one of the options.  Are you sure you copied the problem correctly?

Maybe you meant that the circumference is 4π feet, and the area is 0.64π cm².  If so:

R = 4π / (2π) = 2 feet

r = √(0.64π / π) = 0.8 cm

R / r = (2 feet) / (0.8 cm) = 2.5 ft/cm

So 1 cm = 2.5 ft.

Final answer:

To find the coordinates of point C when given the midpoint M and point D, we find the average of the endpoints' coordinates. Solving the equations, we find that the coordinates of point C are (2, 8).

Explanation:

The student is asking to find the coordinates of point C given that the midpoint M of line segment CD is at (6, 6), and point D is at (10, 4). To find point C, we use the concept that the midpoint's coordinates are the average of the coordinates of the endpoints of the segment. That means:

The x-coordinate of C can be found by the equation 6 = (xC + 10) / 2 which leads to xC = 2(6) - 10,

The y-coordinate of C can be found by the equation 6 = (yC + 4) / 2 which leads to yC = 2(6) - 4.

Solving for xC and yC, we find:

xC = 12 - 10 = 2,

yC = 12 - 4 = 8.

Therefore, the coordinates of point C are (2, 8).

Answer:

0.0000000692

Step-by-step explanation:

We are given the following number in scientific notation and we are to express it in standard notation:

[tex] 6 . 9 2 \times 1 0 ^ - 8 [/tex]

We know that:

[tex] 6 . 9 2 \times 1 0 ^ { - 8 } = \frac { 6 . 9 2 } { 1 0 ^ { 8 } } = \frac { 6 . 9 2 } { 1 0 0 , 0 0 0, 0 0 0 } = 0 . 0 0 0 0 0 0 0 6 9 2 [/tex]

Therefore, the answer in standard notation is 0.0000000692.

Answer:

0.0000000692

Step-by-step explanation:

6.92 x [tex]10^{-8}[/tex]

= 6.92 x 0.00000001

= 0.0000000692

Step-by-step explanation:

(700 4/7) ÷ (1 2/5)

Write the fractions in improper form:

(4904/7) ÷ (7/5)

To divide by a fraction, multiply by the reciprocal:

(4904/7) × (5/7)

24520/49

500 20/49

There are 500 pieces.

Answer:

(700 4/7) ÷ (1 2/5)

Write the fractions in improper form:

(4904/7) ÷ (7/5)

To divide by a fraction, multiply by the reciprocal:

(4904/7) × (5/7)

24520/49

500 20/49

There are 500 pieces.

We don't get to see the figure but we don't need it.

The remaining angle B is

B = 180 - 27 - 78 = 75°

The Law of Sines gives the remaining sides

[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]a = \dfrac{b \sin A}{\sin B} = \dfrac{66 \sin 27}{sin 75} \approx 31.0203[/tex]

[tex]c = \dfrac{b \sin C}{\sin B} = \dfrac{66 \sin 78}{sin 75} \approx 66.8350[/tex]

Answer: B=75°, a=31.0, c=66.8

No need for "or" on this one.  That happens when we know the sine of an angle so there are two possibilities for the angle, an acute one and an obtuse one that's supplementary.

Answer:

3/2

Step-by-step explanation:

6 3/4 (2/9)

(27/4)(2/9)

4 divided by 2 is 2.

27 divided by 9 is 3.

Answer: 3/2

Answer:

2 1/2

Step-by-step explanation:

5 is 2 more than 2 so the the first part would be 2.

[tex]\dfrac{5}{2}=\dfrac{2\cdot2+1}{2}=2\dfrac{1}{2}[/tex]

When it asks for descending order of the polynomial it wants you to put the exponents in order from largest to smallest like so...

C. [tex]x^{12} +3x^{7} + 4x^{3}  -9x[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Option C

Step-by-step explanation:

In this question the given polynomial is 4x³ + 3x⁷ - 9x + x¹²

If we rewrite it in the descending order of the powers then the polynomial will be

x¹² + 3x⁷ +4x³ + 9x

This polynomial matches with option C.

Option C is the answer.

Answer:

So ordered pair a is (2,11)

Step-by-step explanation:

We are given

a = b+c

and ordered pair b =(6,3) and ordered pair c =(-4,8)

Putting values of b and c in the given equation and adding x and y coordinates of b and c we can find ordered pair a.

a=(6,3)+(-4,8)

a =(6-4,3+8)

a =(2,11)

So ordered pair a is (2,11)

Answer:

4x + y = - 2

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y = - 4x - 2 ( add 4x to both sides )

4x + y = - 2 ← in standard form

Answer:

4x + y = -2

Step-by-step explanation:

Answer:

main number

Step-by-step explanation:

Final answer:

A base number in mathematics is the number raised to a power, where in scientific notation it is always 10, whereas in economic terms, a base year is a reference year for economic measurements.

Explanation:

The definition of a base number in mathematics generally refers to the number that is being raised to a certain power. In the context of scientific notation, the base number is always 10. This is used to succinctly represent very large or very small numbers in the form N x 10^n, where N is a number greater than or equal to 1 and less than 10, and n is a positive or negative integer; for example, 10^0 = 1. However, the concept of a base extends beyond just the number 10; any number can act as a base in different mathematical contexts.

When discussing numbers in a positional numeral system, the base determines the value of each digit in the number and how those digits are combined to represent the overall number. For instance, in the base-10 system, the digits 0 through 9 are used, and the position of each digit indicates how many multiples of powers of 10 it represents. Finally, in the context of economic indexes, a base year is a reference year against which economic growth or inflation is measured.

Answer:

log₄ 10 = log₁₀ 10 / log₁₀ 4

Step-by-step explanation:

Taking the x to be a power then;

[tex]4^x +2 =12[/tex]

[tex]4^x = 12-2[/tex]

[tex]4^x=10[/tex]

Introduce log on both sides

x log 4= log 10

x= log 10/log 4

log₄ 10 = log₁₀ 10 / log₁₀ 4

Answer: x = log₄(3/4)  = -0.207

Step-by-step explanation:

when you have the equation:

n^x = b

whe have that:

Logₙ(b) = x

in this case we have the equation:

4^(x+2) = 12

(4^x)*(4^2) = 12

16*4^x = 12

4^x = 12/16 = 3/4

x = log₄(3/4)  = -0.207

Answer:

[tex]\large\boxed{V=288\pi}[/tex]

Step-by-step explanation:

[tex]\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\R-radius\\\\\text{W have the radius}\ R=6.\ \text{Substitute:}\\\\V=\dfrac{4}{3}\pi(6^3)=\dfrac{4}{3}\pi(216)=4\pi(72)=288\pi[/tex]

Answer:

6ft 3in

Step-by-step explanation:

4ft + 1ft = 5ft

4in +11in= 15in

15in =1ft and 3in

5ft+ 1ft 3in= 6ft 3in

Answer:

no

Step-by-step explanation:

6 times 6 is 36 and 36 plus 4 is 40 not 42

Jeff can make his choices independently so there are a total of

[tex] 2 \times 14 \times 4[/tex]

different sundaes.  

Answer: D. 112

Answer:

D 112

Step-by-step explanation:

Just multiply the number of different ways to choose things to come up with all your possibilities.

That is you just do 2(14)(4)=28(4)=112

Answer:

99x +84 ≤ 1,150

Step-by-step explanation:

Her budget is $1,150, this means that the price of all her purchases cannot exceed it. In other words, the sum of all her purchases must be less or equal to 1,150.

To find how many watches she can buy, you need to multiply it by the price of the watches, which is $99, so it will be 99x.

As for the shirts, she spent $84.

So the inequality equation you will need will be the sum of the price of watches and shirts is less than or equal to 1,150.

99x + 84 ≤ 1,150

Check the picture below, that enclosed area is pretty much our "washer".

now, to get the outer radius, or "farther" radius from the axis of rotation, what I usually do is, use the f(x) - g(x) to get the area under the curve, using the axis of rotation for g(x).

[tex]\bf \stackrel{\textit{top, f(x)}}{4\sqrt{x}}~~-~~\stackrel{\textit{bottom, g(x)}}{(0)}\implies \stackrel{\textit{farthest radius}}{4\sqrt{x}-0\implies 4\sqrt{x}} \\\\\\ \stackrel{\textit{top, f(x)}}{x}~~-~~\stackrel{\textit{bottom, g(x)}}{(0)}\implies \stackrel{\textit{closest radius}}{x-0\implies x} \\\\[-0.35em] ~\dotfill\\\\ 4\sqrt{x}=x\implies \stackrel{\textit{squaring both sides}}{16x=x^2\implies }16x-x^2=0[/tex]

[tex]\bf x(16-x)=0\implies x= \begin{cases} 0\\ 16 \end{cases}\qquad \qquad \impliedby \textit{these are the bounds} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int\limits_{0}^{16}~\pi [(4\sqrt{x})^2-(x)^2]dx\implies \pi \int\limits_{0}^{16}[16x-x^2]dx\implies \pi \int\limits_{0}^{16}16x~~-~~\pi \int\limits_{0}^{16}x^2[/tex]

[tex]\bf \pi \left. 16\cdot \cfrac{x^2}{2} \right]_{0}^{16}-\left. \cfrac{\pi x^3}{3} \right]_{0}^{16}\implies \left. \pi 8x^2 \cfrac{}{}\right]_{0}^{16}-\left. \cfrac{\pi x^3}{3} \right]_{0}^{16} \\\\\\ \left( \pi [2048]-\pi [0] \right)-\left(\left[ \cfrac{4096\pi }{3} \right]-[0] \right)\implies 2048\pi -\cfrac{4096\pi }{3} \implies \cfrac{2048\pi }{3}[/tex]

Answer:

40 square units

Step-by-step explanation:

The surface area is given by

LA = 2(wh+lh)

where h is the height l is the length and w is the width

We do not include the top or bottom

We know l=6 w=4 and h=2

LA = 2 ( 4*2 + 6*2)

lA = 2( 8+12)

    = 2 (20)

    = 40

Answer: (It didn't say what to have the units in so I assumed as is)

(pm) 5sqrt(6)/2

(pm) 6.12372           (rounded version)

Step-by-step explanation:

F=mv^2/r  (Given)

rF=mv^2    (Multiply both sides by r)

rF/m=v^2   (Divide both sides by m)

v=(pm) sqrt(rF/m)  (Square root both sides)-(pm means plus or minus)

v=(pm) sqrt(rF)/sqrt(m)  

v=(pm) sqrt(rF)sqrt(m)/m   (I had multiply top and bottom by sqrt(m))

v=(pm) sqrt(rFm)/m

*sqrt( ) means square root of whatever is in the (  ) that follows the sqrt

Now find v if F=50, m=100 kg, and r=150/2=75 so plug in

v=(pm) sqrt(75*50*100)/100

v=(pm) sqrt(375000)/100  OR

v=(pm) sqrt(100*25*3*25*2)/100

v=(pm) 10*5*sqrt(3)*5*sqrt(2)/100

v=(pm) 250sqrt(6)/100

v=(pm) 2.5sqrt(6)

v=(pm) 5sqrt(6)/2

Or if you want a decimal number rounded, it would be (pm) 6.12372

The formula for calculating the centripetal force of an object in circular motion can be rearranged to find velocity. You compute the tangential velocity of a 100kg object with a force of 50N, moving on a circular path with a diameter of 150m, by plugging these values into this rearranged formula. This calculation results in a value of approximately 61.24 m/s for the tangential velocity of the object.

The formula F=mv^2/r calculates the centripetal force (F) of an object of mass (m) moving in a circular path with a radius (r). You can solve this formula for velocity (v) by first multiplying both sides by r, making the formula Fr=mv^2. Then, divide both sides by m, which makes the formula Fr/m = v^2. Finally, take the square root of both sides to get v = √(Fr/m).

To calculate the tangential velocity of a 100kg object with a force of 50 Newton, moving along a circular path with a diameter of 150 meters, you must first divide the diameter of the circle by 2 to get the radius, 75 meters. Next, substitute the given values into the formula; v = √((50N * 75m) / 100kg). Therefore, the tangential velocity is approximately √(3750N·m/kg) = 61.24 m/s.

https://brainly.com/question/33443064

#SPJ3

Answer:

0.0072

Step-by-step explanation:

7.2 x [tex]10^{-3}[/tex]

=7.2 x 0.001

=0.0072

Answer:

0.0072

Step-by-step explanation:

The given expression is as follows:

7.2 * 10^(-3)

This expression is in scientific notation, We need to convert it to standard notation for which we will convert the power of 10 to 0.

The power of 10 here is -3. So we will move the decimal point 3 places to the left and get:

= 0.0072 x 10^0

= 0.0072 x 1

= 0.0072

Answer: 1 x 10^27 m

Step-by-step explanation: