PLEASE HELP QUICK!! TEST IS TIMED!! Terri wrote the equation using slope-intercept form for the line that passes through the points (4, 6) and (–2, 3).

Step 1: m = StartFraction 4 minus (negative 2) Over 6 minus 3 EndFraction = StartFraction 6 Over 3 EndFraction = 2
Step 2: 3 = 2 (negative 2) + b
Step 3: 3 = negative 4 + b. 7 = b.
Step 4: y = 2 x + 7

Which best describes Terri’s first error?
In step 1, the slope of the line should be One-half.
In step 2, she should have substituted the point (4, 6).
In step 3, she should have subtracted 4 from both sides of the equation.
In step 4, the m and b values should be switched.

Answer:

4ac

Step-by-step explanation:

Assuming you're referring to the equation \(ax^2+bx+c=0\).

Since the discriminant \(D=b^2-4ac\) has to be equal to 0 in order for there to be exactly one real solution, then we have the following:

\(0=b^2-4ac\\b^2=4ac\)

Therefore, b² needs to be the same value as 4ac.

Therefore, it will take approximately 13.7 years for the population to double.

a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:

Growth Rate = (New Value - Old Value) / Old Value * 100

Using the given values, we have:

Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%

b. To write a general equation for the population, you can use the formula:

p(t) = p(0) * (1 + r/100)^t

where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.

c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:

p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4

Therefore, the estimated population in 2010 is approximately 2465.

d. To find out how many years it will take for the population to double, we need to solve the equation:

2 * p(0) = p(0) * (1 + r/100)^t

Simplifying the equation, we have:

2 = (1 + r/100)^t

Taking the logarithm of both sides, we get:

log(2) = t * log(1 + r/100)

Finally, solving for t, we have:

t = log(2) / log(1 + r/100)

Substituting the growth rate from part a, we have:

t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years

Therefore, it will take approximately 13.7 years for the population to double.

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Answer:

you can buy more bananas

Step-by-step explanation:

7 divided by 0.40 is 17.5 so you can buy 17 pounds

7 divided by 0.56 is 12.5 so you can buy 12 pounds

Answer:

91 cents per ounce

Step-by-step explanation:

Divide 13.59 by 15

Answer: $0.91

Step-by-step explanation:

Take $13.59 divided by 15 = $0.91 per ounce

If you can, please give me a Brainliest, I need 2 more to get to the highest rank,  thank you!

Answer:

-26 :)

Step-by-step explanation:

Fill in y and x with the subs

do parentheses which is 6

6-8(4) - do 8 times 4 which is 32

then 6-32 which is -26

Answer:

math

Step-by-step explanation:

Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.

The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.

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Answer: Here is a step by step

Step-by-step explanation:

We can use the formula for the slope-intercept form of a linear function, which is:

y = mx + b

where m is the slope and b is the y-intercept.

In this situation, the ramp has a height, h, of 15 inches when the base length, l, is 54 inches. We can use this information to find the slope of the linear function as follows:

m = rise / run = h / l = 15 / 54

To simplify this fraction, we can divide both the numerator and denominator by 3:

m = 5 / 18

So the slope of the linear function is 5/18.

Now we need to find the y-intercept, b. We know that when the base length, l, is 0, the height, y, is also 0 (since there is no ramp). This gives us:

y = mx + b

0 = (5/18)(0) + b

b = 0

Therefore, the linear function that models this situation is:

y = (5/18)x

So the answer is option A: y = 5/18x.

You would expect approximately 87 seniors in your school to be left-handed.

To determine the number of left-handed seniors in your school, you can set up a proportion using the given information.

The proportion can be set up as follows:

(left-handed seniors) / (total number of seniors) = (left-handed people in the population) / (total population)

From the given information, we know that about 2 out of every 15 people are left-handed. This can be expressed as:

2/15 = (left-handed seniors) / (total number of seniors)

We are given that there are 650 seniors in your school. Let's denote the number of left-handed seniors as 'x'.

Substituting the known values into the proportion, we get:

2/15 = x / 650

To solve for 'x', we can cross-multiply:

2 * 650 = 15 * x

1300 = 15x

Dividing both sides of the equation by 15:

1300 / 15 = x

x ≈ 86.67

Rounding to the nearest whole number, we find that you would expect approximately 87 seniors in your school to be left-handed.

The proportion allows us to determine the expected number of left-handed seniors based on the known proportion of left-handed people in the population. By setting up and solving the proportion, we can estimate the number of left-handed seniors in your school to be approximately 87.

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The probability that both students are girls is 3/10 or 0.30 if Mr. Garcia has 11 boys and 14 girls in his math class. He selects two students at random to demonstrate how they solved the day’s challenge assignment.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have:

Total number of boys in Garcia's math class = 11

Total number of girls in Garcia's math class = 14

Total number of students = 11+14 ⇒ 25

Total number of outcomes = \(_{25}C_{2}\)

Total number of favorable outcomes = \(_{14}C_2\)

Now, the probability,

\(=\frac{_{14}C_2}{_{25}C_2}\)

The value of \(_{25}C_{2}=300\)

The value of \(_{14}C_2=91\)

\(=\frac{91}{300}\)

= 3/10 or 0.30

Thus, the probability that both students are girls is 3/10 or 0.30 if Mr. Garcia has 11 boys and 14 girls in his math class. He selects two students at random to demonstrate how they solved the day’s challenge assignment.

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claim:- on average the machine is filled toothpaste tube is not equal to 5.8 ounces.

Hypothesis:-

\(H_{0}\): ∪= 5.8     vs    \(H_{1}\) :∪≠5.8

\(H_{0}\): The machine fills toothpaste with an average of 5.8 ounces.

\(H_{1}\):  The machine fills toothpaste with an average of not 5.8 ounces.

An explanation for a phenomenon is offered in the form of a hypothesis, or hypotheses. According to the scientific method, a hypothesis must be testable in order to qualify as a scientific hypothesis. Typically, scientists base their hypotheses on prior observations that leave room for doubt on the validity of the existing body of knowledge. A scientific theory is different from a scientific hypothesis, even though the terms "hypothesis" and "theory" are frequently used interchangeably. An educated guess or a notion is the starting point for a working hypothesis, which is an acknowledged hypothesis that is offered for further study.

In formal logic, the term "hypothesis" is used in a distinct sense to refer to the antecedent of a proposition; in the statement "If P, then Q," P refers to the hypothesis (or antecedent), and Q can be thought of as the consequent. In a (potentially counterfactual) What If inquiry, P is the underlying presumption.

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The 99.9% confidence interval for a sample of size 176 with 118 successes is (0.558, 0.778).

The formula for finding the confidence interval for a sample proportion is given as follows:

Confidence interval = sample proportion ± zα/2 * √(sample proportion * (1 - sample proportion) / n)

Where,

zα/2 is the z-value for the level of confidence α/2,
n is the sample size,
sample proportion = successes / n

Here, level of confidence, α = 99.9%, so α/2 = 0.4995. The value of zα/2 for 0.4995 can be found from the z-table or calculator and it comes out to be 3.291.

Putting all the values in the formula, we get:

Confidence interval = 0.670 ± 3.291 * √(0.670 * 0.330 / 176)

                   = (0.558, 0.778) (rounded to three decimal places and put in parentheses)

Thus, the 99.9% confidence interval for a sample of size 176 with 118 successes is (0.558, 0.778).

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The measure of the base of the triangle is 14 ft.

A triangle is a polygon with three sides.  The sum of angles in a triangle is 180 degrees.

Therefore, the area of a triangle can be calculated as follows:

area of a triangle  = 1 / 2 bh

where

Therefore,

area of the triangle = 28 ft²

height of the triangle = 4 ft

base of the triangle = ?

Hence,

area of the triangle  = 1 / 2 × b × 4

28 = 1 / 2 × b × 4

28 = 4b / 2

28 = 2b

divide both sides by 2

b = 28 / 2

b = 14

Therefore,

base of the triangle = 14 ft

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The measure of the base of the triangle would be; 14 ft.

A triangle is a polygon with three sides.  The sum of angles in a triangle is 180 degrees.

Therefore, the area of a triangle can be calculated by the formula;

The area of a triangle  = 1 / 2 b h

where

b = base

h = height

Thus,

The area of the triangle is 28 ft²

The height of the triangle = 4 ft

The base of the triangle =?

Hence,

Area = 1 / 2 × b × 4

28 = 1 / 2 × b × 4

28 = 4b / 2

28 = 2b

Then divide both sides by 2

b = 28 / 2

b = 14

Therefore, the base of the triangle is 14 ft

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The function f(x) = 3x^4/4 - 32285040.75 and the line 81x + y = 0 is tangent to the graph of f at the point (-3,0)

To find a function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f, we can use the fact that the slope of the tangent line to a function f(x) at a point x = a is given by f'(a).

Since the line 81x + y = 0 has a slope of -81, we know that f'(a) = -81. So, we can set f'(a) = -81 and solve for a:

f'(a) = 3a^3 = -81
a^3 = -27
a = -3

Now we can use the point-slope form of a line to find the equation of the tangent line to the graph of f at x = -3:

y - f(-3) = f'(-3)(x + 3)

y - f(-3) = -81(x + 3)

We also know that the point (-3,0) lies on the graph of f and on the line 81x + y = 0. We can use this information to find the value of f(-3):

0 = -81(-3) + f(-3)
f(-3) = 243

So the equation of the tangent line is:
y - 243 = -81(x + 3)
y = -81x - 222

To find f(x) we can use the fact that f(x) = the antiderivative of f'(x)

∫f'(x)dx = f(x) + C

∫3x^3 dx = f(x) + C

3x^4/4 + C = f(x)

We can find the value of the constant C by using the point (x,y) = (-3,0) on the function f(x)

0 = 3(-3)^4/4 + C
C = -3^4*3/4 - 32285040.75

Therefore the function f(x) = 3x^4/4 - 32285040.75

And the line 81x + y = 0 is tangent to the graph of f at the point (-3,0)

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Answer:

i dont understand what your asking

Step-by-step explanation:

The equilibria for the system are (0, 0) and (3, 1).

To find the equilibria of the given system, we need to solve the equations x' = 0 and y' = 0 simultaneously. Let's start with x' = 0:

x(x + y - 2) = 0

This equation can be true if either x = 0 or x + y - 2 = 0.

Case 1: x = 0

Substituting x = 0 into the second equation, we get y' = y(3 - y). To find the equilibrium, we set y' = 0:

y(3 - y) = 0

This equation is true when either y = 0 or y = 3.

Case 2: x + y - 2 = 0

Substituting x + y - 2 = 0 into the second equation, we have y' = y(3 - (x + y - 2)). Simplifying further:

y' = y(3 - x - y + 2)

  = y(5 - x - y)

To find the equilibrium, we set y' = 0:

y(5 - x - y) = 0

This equation is true when y = 0, y = 5 - x, or y = 0 and 5 - x = 0.

Combining the equilibria from both cases, we obtain the following equilibrium points: (0, 0) and (3, 1).

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Answer:

42 ft, 60 ft, 84 ft

Step-by-step explanation:

let x be the shortest side , then the other 2 sides are 2x and x + 18, so

x + 2x + x + 18 = 186 , that is

4x + 18 = 186 ( subtract 18 from both sides )

4x = 168 ( divide both sides by 4 )

x = 42

Then lengths of sides are

x = 42 ft

2x = 2 × 42 = 84 ft

x + 18 = 42 + 18 = 60 ft

Answer:

10^4 or 10000

Step-by-step explanation:

The multiplication of 10x 10 x 10 x 10 is 10000.

We have given that the

10x 10 x 10 x 10

We have to find the multiplication of the above 10.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division.

here we have

10 x10=100

10x100=1000

10x1000=10000

Therefore the multiplication of 10x 10 x 10 x 10 is 10000.

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ASA

Because the side between two equal angle is equal here. Because "The sides opposite to equal angles of a triangle are equal."

Answer:

The answer is g(x)=(x-2)^2+1

Step-by-step explanation:

The equation of the blue graph is y = (x - 4)² + 1.

Option D is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The graphs of y = x² and y = (x - 4)² + 1 are both parabolas.

The graph of y = x² is a simple upward-facing parabola that passes through the origin.

As x increases or decreases, the value of y increases but at an increasingly slower rate until it reaches a minimum at x = 0, where it turns back upwards and continues to increase at an increasingly faster rate.

The graph of y = (x - 4)² + 1 is also a parabola, but it is shifted 4 units to the right and 1 unit up compared to y = x².

Thus,

The equation of the blue graph is y = (x - 4)² + 1.

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Therefore the minimum cost of a rectangular box of volume is x = 4.641588834 cents.

A cuboid is a six-faced solid known as a hexahedron in geometry. Four-sided quadrilaterals make up its faces. A cuboid is a hexahedron, a solid with six faces, and the word "cuboid" means "like a cube" in the sense that a cuboid can become a cube by changing the length of its edges or the angle between its faces and edges. Four-sided quadrilaterals make up its faces. A cuboid can be made to look more like a cube by varying the lengths of its edges or the angles between its faces and edges. A cuboid's volume is equal to the sum of its length, breadth, and height. The opposite faces of a cuboid on a rectangular cuboid are equal, and all the angles are at right angles.

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The equation in the form of y=mx+b will be y= -3/4x+2

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that the inequality is y< -3/4x+2,

We have to write the inequality in the form of y=mx+b

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

Thus, the equation in the form of y=mx+b will be y= -3/4x+2

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The area of the square is 1/4inches² in square inches

The area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.

The square has side of length = 6/12

this can be simplified as 1/2

so

area of the square = (1/2 × 1/2) inches ²

area of the square = 1/4inches²

Thus, the area of the square is calculated using area = s × s, as 1/4inches²

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Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

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Answer:

B

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

The computation of the remainder when the number would be divided by 35

Let the number be x

So if x is divided by 5 gives the remainder 0

x = 0

And, if x is divided by 7 gives the remainder 0

x = 0

So if x is divided by 35 so the remainder is also zero

A ratio displays the multiplicity of two numbers, the total number of employees is 187.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared.

Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were going to compare one data point (A) to another data point (B). This indicates that you are multiplying data A by data B.

So the ratios are-

men : women

4:7

x:119

Now, relationship between 7and 119 is -

men : women

4:7

7*17

x:119

Now,

men : women

4:7

4*17 :7*17

68:119

Total number

68+119= 187

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