Please help i really just don’t understand

To identify the equilibrium price on a graph, you would need to locate the point where the supply and demand curves intersect. At this point, the quantity demanded by consumers is equal to the quantity supplied by producers, resulting in a market equilibrium.

Without seeing the graph in question, it's difficult for me to give a specific answer. However, if you have a graph that shows the supply and demand curves for a particular product or service, you can look for the point where these curves intersect to find the equilibrium price.

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The six trigonometric ratios of angle C are sin C = 3/5, cos C = 4/5, tan C = 3/4, csc C = 5/3, sec C = 5/4 and cot C = 4/3

What are Trigonometric functions?

Trigonometric functions are mathematical functions that relate the angles and sides of a right triangle. They are commonly used in geometry, physics, and engineering to solve problems involving triangles and periodic phenomena.

To find the trigonometric ratios of angle C, we first need to label the sides of triangle ABC relative to angle C. We can use the convention of labeling the side opposite angle C as "a", the side adjacent to angle C as "b", and the hypotenuse of the triangle as "c".

Using this labeling, we have:

a = AB = 24

b = BC = 32

c = AC = 40

Now we can calculate the trigonometric ratios of angle C:

sin C = opposite/hypotenuse = a/c = 24/40 = 3/5

cos C = adjacent/hypotenuse = b/c = 32/40 = 4/5

tan C = opposite/adjacent = a/b = 24/32 = 3/4

csc C = 1/sin C = hypotenuse/opposite = c/a = 40/24 = 5/3

sec C = 1/cos C = hypotenuse/adjacent = c/b = 40/32 = 5/4

cot C = 1/tan C = adjacent/opposite = b/a = 32/24 = 4/3

Therefore, the six trigonometric ratios of angle C are:

sin C = 3/5

cos C = 4/5

tan C = 3/4

csc C = 5/3

sec C = 5/4

cot C = 4/3

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This matches the original polynomial, so we know our factoring is correct. Therefore, the answer is:

[tex]x^2 + 3x - 70=(x-7)(x+10)[/tex].

In mathematics, a factor is a number or algebraic expression that divides another number or expression without leaving a remainder. In other words, a factor is a quantity that can be multiplied by another quantity to produce a given result.

For example, if we consider the number 12, its factors are 1, 2, 3, 4, 6, and 12 because they can be multiplied together to give 12.

In algebra, the term factor often refers to an algebraic expression that can be written as a product of simpler expressions. For example, the expression x^2 - 4 can be factored as (x - 2) (x + 2), which means that it can be written as the product of the two factors (x - 2) and (x + 2).

To factor the polynomial x² + 3x - 70, we need to find two factors that multiply to give -70 and add to give 3.

One way to approach this is to list all the factor pairs of -70 and look for a pair that adds up to 3:

[tex]-1 * 70 = -70[/tex]

[tex]-2 * 35 = -70[/tex]

[tex]-5 * 14 = -70[/tex]

[tex]1 *-70 = -69[/tex]

[tex]2 * -35 = -70[/tex]

[tex]5 * -14 = -70[/tex]

From this list, we see that -7 and 10 are the only factor pair that add up to 3. So, we can write:

[tex]x^2 + 3x - 70 = (x - 7)(x + 10)[/tex]

To check our answer, we can use FOIL to expand the product of (x - 7) (x + 10):

[tex](x - 7)(x + 10) = x(x) + x(10) - 7(x) - 7(10)[/tex]

[tex]= x^2+ 10x - 7x - 70[/tex]

[tex]= x^2 + 3x - 70[/tex]

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Note that the parameters of the graph a and graph b are given below.

Graph A - y=2(x-1)²

See graph attached.

Graph B - y = 1/2x² + 3

Vertex: The vertex of the function is (0, 3).

Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.

Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).

Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.

Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.

0 = 1/2 x² + 3

Subtracting 3 from both sides, we get:

-3 = 1/2 x²

Multiplying both sides by -2, we get:

6 = -x²

Taking the square root of both sides, we get:

x = ±√(-6)

Since the square root of a negative number is not a real number, the function has no real roots.

Minimum or maximum value: The minimum value of the function is 3.

Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.

Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.

Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.

See graph attached.


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To compare the magnitudes of 0.009 and 0.09, we can divide 0.09 by 0.009:

0.09 / 0.009 = 10

This means that 0.09 is 10 times greater than 0.009.

To compare the magnitudes of 0.009 and 0.1, we can divide 0.1 by 0.009:

0.1 / 0.009 = 11.111...

This means that 0.1 is approximately 11.111 times greater than 0.009.

To compare the magnitudes of 0.009 and 1, we can divide 1 by 0.009:

1 / 0.009 = 111.111...

This means that 1 is approximately 111.111 times greater than 0.009.

Therefore, 0.009 is much smaller than both 0.1 and 1.

The factored form of the quadratic equation with a = -4, b = -10, and c = 6 is (-2x - 2)(2x - 3).

A quadratic equation is a second-degree polynomial equation in a single variable, where the variable is typically denoted by x.

To factor a quadratic equation in standard form (ax² + bx + c), we need to find two binomials whose product is equal to the quadratic expression. The binomials have the form:

(x + m)(x + n)

where m and n are constants that we need to find.

To factor the quadratic equation with a = -4, b = -10, and c = 6, we can first multiply the coefficient of the leading term (a) and the constant term (c) to get -4*6 = -24. We need to find two numbers whose product is -24 and whose sum is equal to the coefficient of the middle term (b), which is -10.

One way to find these numbers is by trial and error or by using the AC method. We can write -24 as the product of two factors in the following way:

-24 = (-2) * 12

Now, we look for two numbers whose sum is -10 and whose product is (-2)*12 = -24. We can choose -2 and -12 because they satisfy these conditions:

-2 + (-12) = -14 (the sum is equal to b)

(-2) * (-12) = 24 (the product is equal to ac)

Therefore, we can factor the quadratic equation as:

-4x² - 10x + 6 = (-2x - 2)(2x - 3)

We can check that this is correct by using the distributive property:

(-2x - 2)(2x - 3) = -4x² + 6x - 4x - 6 = -4x² - 10x + 6

So the factored form of the quadratic equation with a = -4, b = -10, and c = 6 is (-2x - 2)(2x - 3).

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Answer: Emily should add 43 gallons of water to her fish tank to fill it up to 7/8 of its capacity.

Step-by-step explanation:  If Emily's fish tank has a capacity of 64 gallons, she should fill it up to 7/8 of its capacity to allow the pump to work properly and avoid water overflowing.

So, the amount of water that Emily should have in her fish tank is:

64 x 7/8 = 56 gallons

Emily has already added 13 gallons of salt water. Therefore, the amount of additional water she should add to the tank is:

56 - 13 = 43 gallons

Emily should add 43 gallons of water to her fish tank to fill it up to 7/8 of its capacity.

Answer:

The answer to your problem is, 1364.21 or C. 252π ft2

Step-by-step explanation:

Here is our formula and what we will be using:

A = π r ( r + [tex]\sqrt{h^2 + r^2}[/tex]

Radius = 12

Height = 21

Area = π r l + π [tex]r^2[/tex]

Length = [tex]\sqrt{r^2 + h^2}[/tex]

A = π r ( r + [tex]\sqrt{h^2 + r^2}[/tex] = π x 12 x ( 12 + [tex]\sqrt{21^2 + 12^2}[/tex]

= 1364.20921 or 1364.21

Thus the answer to your problem is, 1364.21 or C. 252π ft2

Answer:

To calculate how much will be in Tallulah's account after 6 weeks, we need to find out how much her balance will increase each week due to her steady deposits, and then add that to her current balance.

Since Tallulah is depositing $21.35 per week, her balance will increase by that amount each week. After 6 weeks, her balance will have increased by:

$21.35/week x 6 weeks = $128.10

To find out how much will be in her account after 6 weeks, we need to add the amount of her balance increase to her current balance:

-$39.35 + $128.10 = $88.75

So after 6 weeks of making steady deposits, Tallulah's account will have a positive balance of $88.75.

Answer: $88.75

b r a i n l i e s t ?

Part A:

Part B:

Part C:

Additionally, the question itself may have influenced the results, as some teenagers may have preferred to watch news on television simply because they do not regularly read newspapers.

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Sequence from least interest amount to greatest amount is

investment of $400 at 3% for 6 years

investment of $400 at 14% for 2 years

investment of $300 at 14% for 6 years

Simple interest is a type of interest that is calculated only on the principal amount of a loan or investment, without taking into account any accumulated interest from previous periods. It is a linear function of time and is calculated by multiplying the principal amount, the interest rate, and the time period. The formula for simple interest is:

I = P × r × t

To calculate the simple interest earned on an investment of $400 at 3% for 6 years, we can use the formula:

I = P × r × t

Plugging in the given values, we get:

I = 400 × 0.03× 6

I = 72

Therefore, the simple interest earned on an investment of $400 at 3% for 6 years is $72.

To calculate the simple interest earned on an investment of $300 at 14% for 6 years, we can use the formula:

I = P ×r× t

Plugging in the given values, we get:

I = 300×0.14× 6

I = 252

Therefore, the simple interest earned on an investment of $300 at 14% for 6 years is $252.

To calculate the simple interest earned on an investment of $400 at 14% for 2 years, we can use the formula:

I = P ×r ×t

Plugging in the given values, we get:

I = 400 ×0.14 × 2

I = 112

Therefore, the simple interest earned on an investment of $400 at 14% for 2 years is $112.

Hence, sequence from least interest amount to greatest amount is

investment of $400 at 3% for 6 years

investment of $400 at 14% for 2 years

investment of $300 at 14% for 6 years

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The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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Joel needs to practice for another 9/4 hours or 2 1/4 hours to meet his goal.

To solve the problem, we need to add up the number of hours Joel has practiced so far and subtract it from his goal of 4 1/2 hours per week.

First, we need to convert the mixed numbers to improper fractions:

Next, we add the fractions:

3/2 + 5/4 + 4/4 = 6/4 + 5/4 + 4/4 = 15/4

So far, Joel has practiced for 15/4 hours this week.

To find out how many more hours he needs to practice to meet his goal, we subtract 15/4 from 4 1/2:

4 1/2 - 15/4

We need to make the denominators the same by finding a common denominator of 4:

4 2/2 - 15/4 = 9/4

Therefore, Joel needs to practice for another 9/4 hours or 2 1/4 hours to meet his goal.

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Based on the information provided, the decimal number used to calculate the sales tax would be 0.055.

To convert the percentage to a decimal number, we divide by 100. So, to find the decimal number used to figure the sales tax on a purchase with a sales t axrate of 5 1/2%, we can divide 5.5 by 100:

5.5 ÷ 100 = 0.055

Therefore, the decimal number used to figure the sales tax on a purchase with a sales tax rate of 5 1/2% is 0.055. To calculate the sales tax on a purchase, we multiply the purchase amount by the decimal rate of the sales tax. For example, if the purchase amount is $100, the sales tax would be:

$100 × 0.055 = $5.50

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Answer: D- Multiply the first fraction by 2/2 and the second fraction by 3/3

Step-by-step explanation:

A) You never find the common numerator only denominator

B) Not logical

C) You would have to compare the fractions first

D) 2/9 * 2/2 = 4/18

5/6 * 3/3 = 15/18

5/6 is greater. This is the best way to compare the fractions, and so, Answer Choice (D) is the best option.

Answer:

here is ur answer....OPTION "D"

Step-by-step explanation:

Answer:

A) f(-1) = 3

B) Vertex: (1;9)

C) y = 6

Step-by-step explanation:

Given:

[tex] f(x) = - {x}^{2} + 2x + 6[/tex]

a = -1, b = 2, c = 6

A) Replace the x with -1 in this function:

[tex]f( - 1) = - ({ - 1})^{2} + 2 \times ( - 1) + 6 = - 1 - 2 + 6 = 3[/tex]

.

B) First, let's find x vertex and then replace x with its vertex value in the given function to find y vertex:

[tex]x(vertex) = \frac{ - b}{2a} = \frac{ - 2}{2 \times ( - 1)} = \frac{ - 2}{ - 2} = 1[/tex]

[tex]y(vertex) = {1}^{2} + 2 \times 1 + 6 = 9[/tex]

Vertex: (1;9)

.

C) The parabola will cross the y-axis when x is zero (replace x with 0 in the given function):

[tex] - {0}^{2} + 2 \times 0 + 6 = 0 + 0 + 6 = 6[/tex]

y = 6

Since m_MN = m_AB, we can conclude that the segment joining the midpoints of two sides of a triangle is parallel to the third side.

Triangle is a three-sided polygon with three angles. It is one of the basic shapes in geometry and is usually considered the simplest type of polygon. Triangles are distinguished by their sides, angles, and whether or not they are equilateral, isosceles, or scalene. The sides of a triangle are always connected, and the angles of a triangle always add up to 180°.

Let A(x1, y1), B(x2, y2), and C(x3, y3) be the vertices of a triangle. Then the point M, which is the midpoint of the side AB, coordinates M(x1 + x2 / 2, y1 + y2 / 2). Similarly, the point N, which is the midpoint of the side AC, has coordinates N(x1 + x3 / 2, y1 + y3 / 2).

The slope of the segment MN is given by:
m_MN = (y1 + y3 / 2 - (y1 + y2 / 2)) / (x1 + x3 / 2 - (x1 + x2 / 2))

The slope of the segment AB is given by:
m_AB = (y2 - y1) / (x2 - x1)

Substituting the coordinates for M and N into the equation for m_MN, we get:
m_MN = (y1 + y3 / 2 - (y1 + y2 / 2)) / (x1 + x3 / 2 - (x1 + x2 / 2))
= (y3 - y2) / (x3 - x2)

Substituting the coordinates for A and B into the equation for m_AB, we get:
m_AB = (y2 - y1) / (x2 - x1)
= (y3 - y2) / (x3 - x2)

Since m_MN = m_AB, we can conclude that the segment joining the midpoints of two sides of a triangle is parallel to the third side.

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As a result, the right triangle's area is 71.875 square yards.

A triangle is considered to be correct if one of its angles is 90 degrees. The hypotenuse and legs are terms used to describe the two sides that are not the correct angle.

A basic mathematical theorem that has to do with right triangles is the Pythagorean theorem. According to this rule, the square of a right triangle's hypotenuse is equal to the sum of its other two sides' squares. With those words:

a² + b² = c²

where the triangle's legs are measured by letters a, b, and c, and the hypotenuse is measured by letter c.

Geometry, trigonometry, and physics are just a few of the fields in mathematics and science where right triangles are crucial.

The following formula can be used to determine the area of a right triangle:

(Base * Height) / 2 = Area

In this instance, the height is 6 1/4 yards, and the base is 23 yards. The height must be converted to yards:

25/4 yards times 6 1/4 yards

Now, we can enter these values as substitutes in the formula:

Area is equal to (23 × 25/4)/2

Area is (575/4)/2

Area is (575/8), = 71.875 square yards.

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The coordinates of the images after the translation are E'(-4,-1), F'(-3,-4), and G'(2,-1).

To translate a point 2 units down, we subtract 2 from its y-coordinate.

For point E(-4,1), the image E' will have coordinates (-4,1-2) = (-4,-1).

For point F(-3,-2), the image F' will have coordinates (-3,-2-2) = (-3,-4).

For point G(2,1), the image G' will have coordinates (2,1-2) = (2,-1).

Therefore, the coordinates of the images after the translation are E'(-4,-1), F'(-3,-4), and G'(2,-1).

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Answer:

26

Step-by-step explanation:

10 + 15

Answer:

Step-by-step explanation:

yes you would. they are very strict with food stamps or EBT card they will still ask for the 3 months for  so put in your 3 months and you should be fine.

Answer: B. (1)

Step-by-step explanation: On the first day, Phil used 1 gallon of paint and Lindsey used 3 gallons of paint. Therefore, the total amount of paint they used on the first day is:

1 gallon + 3 gallons = 4 gallons

To find how many gallons of paint were left after the first day, we need to subtract the amount of paint used on the first day from the original amount of paint:

5 gallons - 4 gallons = 1 gallon

Mariah fοrmulate the equatiοn as 150= 2B+3T

And Chris fοrmulate the equatiοn as T = 50-2/3B

A assertiοn that twο expressiοns are equal is knοwn as an equatiοn. Twο things are equal, accοrding tο an equatiοn.

Given,

A grοcer will spend $150 οn beans and tοmatοes cοmbined. Beans cοst $2 per pοund and tοmatοes cοst $3 per pοund.

Here B be a number οf pοunds οf beans and T the cοrrespοnding number οf pοunds οf tοmatοes the grοcer cοuld buy.

Sο we can write

2B + 3T= 150…….(1)

Mariah says she has a simple equatiοn but it's nοt in the fοrm B= (sοme expressiοn) οr T= (sοme expressiοn)

Sο the equatiοn we can write in the fοrm οf cοst

150= 2B+3T

Chris tries tο fοrmulate an equatiοn in the fοrm οf T

2B + 3T= 150

Or, 3T= 150-2B

Or, T = 50-2/3B

Equatiοn that is fοrmed by Mariah is 150= 2B+3T

Chris fοrmulate the equatiοn as T = 50-2/3B

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Answer:

Step-by-step explanation:

To calculate the amount of money David will have in his account after 10 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the amount of money at the end of the period

P is the principal amount (the initial investment)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = $300 (the initial investment)

r = 0.023 (the annual interest rate of 2.3% as a decimal)

n = 2 (the interest is compounded semiannually, or twice per year)

t = 10 (the time period in years)

Plugging these values into the formula, we get:

A = 300(1 + 0.023/2)^(2*10)

A = 300(1.0115)^20

A = $388.68

Therefore, David will have $388.68 in his account after 10 years if he keeps his initial investment of $300 in an account with a 2.3% interest rate that is compounded semiannually.

If the graph of f (x) is translated one unit down and 5 units left, that gives us a new function named g(x), the equation that represents g(x) is D. g(x) = 1/3(x-12)^3 + 5.

The given function is f(x) = 1/3 (x+7)³ -4.

To translate the graph one unit down, we need to subtract 1 from the function f(x). Similarly, to translate the graph 5 units left, we need to add 5 to x inside the function.

So the new function g(x) will be:

g(x) = 1/3 ((x+5+7)³) - 4 - 1

g(x) = 1/3 (x+12)³ - 5

Comparing this with the given options, we see that the correct equation is option D.

Therefore, the answer is g(x) = 1/3(x-12)^3 + 5.

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Answer:

[tex] \frac{91}{400} [/tex]

Step-by-step explanation:

Given:

A square (all sides are equal)

AC = 20 (diagonal)

PI = 7

First, we can find the side length of the whole square:

[tex]d(diagonal) = a \sqrt{2} [/tex]

[tex]a \sqrt{2} = 20[/tex]

Divide both sides of the equation by √2 to make a the subject:

[tex]a = \frac{20}{ \sqrt{2} } = \frac{20 \sqrt{2} }{2} = 10 \sqrt{2} [/tex]

Now, let's do the same thing, but with the smaller square on the top right:

[tex]pr \sqrt{2} = 7[/tex]

[tex]pr = ri = \frac{7}{ \sqrt{2} } = \frac{7 \sqrt{2} }{2} = 3.5 \sqrt{2} [/tex]

[tex]ic = 10 \sqrt{2} - 3.5 \sqrt{2} = 6.5 \sqrt{2} [/tex]

We also have to find the areas of the shaded rectangles and the whole square:

[tex]a(shaded) = 6. 5\sqrt{2} \times 3.5 \sqrt{2} = 45.5[/tex]

[tex]a(square) = ({10 \sqrt{2}) }^{2} = 200[/tex]

Let's call the event A:

A - "The dart hits the shaded region"

All outcomes:

n = 200 (since it can randomly hit the whole area)

Favorable outcomes:

m (A) = 45,5 (since it only need to hit the shaded region)

[tex]p(a) = \frac{m(a)}{n} = \frac{45.5}{200} = \frac{91}{400} [/tex]

Answer:

  √(25+12√2) ≈ 6.48

Step-by-step explanation:

You want the length of the longest side, labeled x, in the obtuse triangle with sides of lengths 3 and 4 and angle 135° between.

The law of cosines tells you ...

  c² = a² +b² -2ab·cos(C)

Using this here, we have a=4, b=3, C=135°:

  x² = 4² +3² -2·4·3·cos(135°)

  x² = 25 -24(-√2/2) = 25 +12√2

  x = √(25 +12√2) ≈ 6.48

To calculate SS E(Sum of Squared Error ) we use the formula of

SSE Total SS - Regression SS but this answer does not make sense

because the SSE cannot be negative.

In statistics, the discrepancy between the observed and anticipated

values is known as the sum of squared error (SSE). Since it is the sum

of the squares of the residual or the difference between predicted

values and actual values, it is also known as the sum of squares

residual (SSR).

To calculate the Sum of Squared Error (SSE), we can use the formula:

SSE = Total SS - Regression SS

We are given the value of Regression SS as 3538.71 and the value of

Total SS as 18. Therefore, we can calculate the value of SSE as:

SSE = Total SS - Regression SS

SSE = 18 - 3538.71

SSE = -3520.71

However, this answer does not make sense because the SSE cannot

be negative. This suggests that there may be an error in the given

information. Specifically, the value of Total SS should be greater than

or equal to the value of Regression SS. Without additional information,

we cannot provide a correct answer to this question.

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