On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b= 2 when a = - 3 -2. Which equation represents this direct variation between a and b? Ob= -a U b = a Ob-a=0 Ob(-a) = 0​

First number 30 and second number is 30 to write one of the factors as a sum of two numbers.

What do math factors mean?

Let first number 30 and second number is 30

then  the sum of two factors

30+30=60

50+10=60

20×3=60

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The area of the circular base of the fountain is 179 square feet.

A circle's area is equal to its radius, r, squared, then multiplied by the mathematical constant pi: A = pi x r2.

A cylinder has two bases that are two congruent circles at the top and bottom. The radius r of a cylinder is only the radius of the circular bases, and the height h of a cylinder is the perpendicular distance between these bases.

Combined area of the walkway and fountain: (3.14)112=379.94 ft2.

Fountain area: (3.14)8*2=200.96 feet

Walkway area: 379.94-200.96=178.98 square feet, which is also rounded to 179 square feet.

The area of the circular base of the fountain is 179 square feet.

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Answer:

Pam

Step-by-step explanation:

Standard form equation of a circle

(x-h)^2 + (y-k)^2 = r^2        h.k is the center = 3,-2   and r = 2

so the equation is

 (x-3)^2  + (y+2)^2 = 2^2 = 4

"The provisions in this excerpt are based on the basic principle of natural rights".

The basic principle of natural rights is rooted in the idea that all individuals are entitled to certain inherent rights that cannot be taken away by any governing authority or power. These rights are believed to be universal and apply to all human beings regardless of race, gender, religion, or nationality.

This concept can be traced back to ancient times and was widely discussed during the Enlightenment era, particularly by philosophers like John Locke and Jean-Jacques Rousseau.

Historically, the concept of natural rights was used to challenge the authority of absolute monarchs and aristocrats, who claimed that they had the right to govern their subjects as they saw fit. The concept of natural rights provided a basis for individual liberty and limited government, which became central to the American Revolution and the development of the United States Constitution.

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Answer:

A and B

Step-by-step explanation:

times 2 both sides

7x+6<=6x+4

minus 6x both sides

x+6<=4

minus 6 both sides

x<=-2

becuase x is less or equal than -2 it must be x=-3 and x=-2

(i don’t think my device has equal or less sign)

Step-by-step explanation:

the diagonals are congruent

Answer:

O C. 5.76 in2

Step-by-step explanation:

To find the area of a square, the formula is

length x width = area

length = 2.4

width = 2.4

2.4in x 2.4in = 5.76 in2

in2 is the part of the answer since  in x in = in2

Answer:

The answer is 8h+6<

Step-by-step explanation:

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

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Answer:Step-by-step explanation:

im prittty sure it is 9.5 times 7 wich would be 66.5 but i could be rong dont be mad f i am

the final answer is -17

Answer:

-17

Step-by-step explanation:

23+(8-5)*4-52

1. Solve parentheses- 8-5=3 so                                        23+3*4-52

2. Then do multiplication- 3*4=12,                                    23+12-52

3. Then add or subtract but go left to right23+12=35     35-52

4. Subtract, 35-52=-17                                                       -17          

The rate of change represented in the situation is as follows:

With no toppings a pizza costs $6

The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity.  

In other words, the rate of change is the change in the dependent variable with respect to the change in the independent variable.

The independent variable is the x value while the dependent variable is the y values.

Therefore, the rate of change represented in the situation is With no toppings a pizza costs $6

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Answer:

a. 5a + 3b-5

b. 4e^2 + f^2 + f

c. 42xy(z)^2

d. 7x(y)^2

Step-by-step explanation:

I added/subtracted/multiplied/divided like terms.

The equation of the tangent line when t = 2 is y = 4x - 11.

To find the equation of the tangent line at a specific point on a curve, we need to determine the slope of the tangent line and its y-intercept. In this case, we are given the parametric equations:

x = 2t

y = 1 + t²

To find the slope of the tangent line, we can differentiate the equations of x and y with respect to t. Let's differentiate y with respect to t:

dy/dt = d/dt (1 + t²)

dy/dt = 2t

The slope of the tangent line is given by the derivative dy/dt evaluated at t = 2:

m = dy/dt (t=2)

m = 2(2)

m = 4

Now, we need to find the corresponding point on the curve when t = 2. Substituting t = 2 into the parametric equations:

x = 2t

x = 2(2)

x = 4

y = 1 + t²

y = 1 + (2)²

y = 1 + 4

y = 5

So the point on the curve when t = 2 is (4, 5).

Now, we have the slope of the tangent line (m = 4) and a point on the line (4, 5). We can use the point-slope form of a linear equation to find the equation of the tangent line:

y - y₁ = m(x - x₁)

Plugging in the values, we have:

y - 5 = 4(x - 4)

y - 5 = 4x - 16

y = 4x - 11

Therefore, the equation of the tangent line when t = 2 is y = 4x - 11.

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After considering all the given data we conclude that the current measured temperature in degree Fahrenheit is 91°F, under the condition that the midday temperature in Palm Beach was 86 °F and the given expression is 86 -|-2-3| which represents current temperature.

To evaluate the temperature let us first consider the expression 86 -|-2-3| which represents the current temperature after 3 hours of temperature change of 2°F per hour from an initial temperature of 86°F.

The given expression can be again simplified as

86 -|-2-3| = 86 -|-5|

= 86 - (-5)

= 91°F

Hence, after evaluating we finally measured the current temperature as 91°F.

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Answer:

Well i'm not very sure.. but to my knowledge, yes!

Step-by-step explanation:

The slope of the linear equation that passes through the points (-6, -7) and (4, -2) is 1/2

Remember that if a line passes through the points (a, b) and (c, d), then the slope can be written as:

slope = (d- b)/(c - a)

In this particular case we know that the line passes through the points (-6, -7) and (4, -2), then the slope will be:

slope = (-2 + 7)/(4 + 6) = 5/10 = 1/2

We conclude that the slope of the linear equation that passes through the points (-6, -7) and (4, -2) is 1/2, s the correct option is C.

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Answer:

AINT NOBODY CARES ABOUT SCHOOL

but the amount they spent each month was 145$

Answer:

(4, 1 )

Step-by-step explanation:

y = 2x - 7 → (1)

y = - x + 5 → (2)

substitute y = 2x - 7 into (2)

2x - 7 = - x + 5 ( add x to both sides )

3x - 7 = 5 ( add 7 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

substitute x = 4 into either of the 2 equations

substituting into (2)

y = - 4 + 5 = 1

solution is (4, 1 )

Answer:

A

Step-by-step explanation: You are correct!

The argument of a complex number z, denoted as arg z, is the angle between the positive real axis and the line connecting the origin to z in the complex plane.

When z is a positive real number, its argument is 0, and when z is a negative real number, its argument is π radians. However, arg z is undefined at 0 because the angle between the positive real axis and any line passing through the origin is not well-defined. This is because the argument function is discontinuous at 0, meaning that the limit of the argument as z approaches 0 from different directions does not exist. For example, the argument of a complex number approaching 0 from the positive real axis is 0, while the argument of a complex number approaching 0 from the negative real axis is π. Therefore, arg z is not continuous at 0 and is undefined at this point.

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Answer:

\(2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0\)

Answer:

(x+7/4)^2=1/16

Step-by-step explanation:

Answer:

Because the process by itself will force the numbers to be eventually reduced to an even number whose half is always another even number. For example, if you start taking the number 3, the result will be 10; then, the result of 10 will be 5; then, the result will be 16. When you get 16, the result will be 8, then 4, then 2 and finally 1.

Step-by-step explanation:

Answer:

The answer is x=-7.25

Step-by-step explanation:

Since the line of best fit represents the best linear model given the data, we can see that if y = 44 (pounds), then we are looking at the expected length of a catfish that weighs 44 pounds.

The statements that are true for Trapezoid WXYZ are:

We are told that;

Shape is a trapezoid WXYZ.

Now, In a trapezoid, one pair of opposite sides are parallel and parallel lines have the same slope.

Lastly, the slope of line parallel to x axis is 0 and so If the line starts at the bottom left and goes towards the top right it has negative slope. Thus, all the statements that are true for Trapezoid WXYZ are:

Complete question is;

Four lines are drawn on a coordinate plane to form trapezoid WXYZ. Which statements are true about the lines? Select all that apply.

Line WZ has the same slope as line XY.

Line YX has a greater slope than line ZY.

Line XW has a lesser slope than line YZ.

Line ZW has the same y-intercept as line WZ.

Line XY has a greater y-intercept than line XW

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The can is shaped like a cylinder. The volume of a cylinder is:

V= pir²*h

As the volume is 791.7 cm³ and the radius is 6cm, let's consider pi as 3.14 ans solve the equation.

V=pir²*h

791.7= 3.14*6²*h

791.7 = 113.04h

h = 7.003

h = 7 cm

Answer: h= 7cm

Answer: Josh is incorrect because nickels are worth 5 cents each and 33 can not be divided by 5 exactly.

The significance level for each comparison in the Bonferroni procedure should be set at approximately .017 to maintain an overall significance level of .05 for three comparisons.

The Bonferroni procedure is a statistical method used to adjust the significance level when conducting multiple comparisons. It is important to plan the comparisons before the study is conducted to avoid bias and ensure the validity of the results.

In the case of maintaining an overall significance level of .05 for three comparisons, the significance level for each individual comparison should be set at .05 divided by the number of comparisons. In this case, there are three comparisons, so the adjusted significance level for each comparison would be .05 divided by 3, which is approximately .017.

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