y= -3x+7 = what number is for solving y?

Answer:

It's 3

Step-by-step explanation:

The simplified form of the expression (mp)⁶ is equal to m⁶×p⁶.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

The given expression is (mp)⁶.

We know, 2²×2² = 2⁴ but 2²×3² = (2×3)² = 6².

Therefore, (mp)⁶ = m⁶×p⁶.

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Above that the statement indicates just simple interest equals $157.92.

With only the coordination mechanism and a fixed interest rate, simple yearly interest is interest connected to borrowing. Compounding, wherein borrowers are obligated to pay tax on the principal as well as interest that rises over a number of pay periods, is not included. Simple interest is calculated by multiplying the original by calendar, rate of return and time period.

Due to it,

P = $1305.17

R = 11/10%

T = 11 months

Now, Simple Interest = P*R*T/100

Simple Interest = 1305.17 * 1.1 * 11/100

Simple Interest = 157.92

Therefore, Simple Interest is $157.92

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Answer:

2

Step-by-step explanation:

To divide 1 7/11 by 2 1/2, you first have to convert both numbers to have a common denominator. The smallest common denominator between 11 and 2 is 22. So, you convert 1 7/11 to be 2 14/22, and convert 2 1/2 to be 11/22. Then, you can divide 2 14/22 by 11/22 which gives 2.

For this data, the median is the best indicator of central tendency.

The correct option is B.

A summary measure called a measure of central tendency, also known as a measure of central or a measure of central placement, aims to summaries the entirety of a set of data using a single number that corresponds to the middle or central of its distribution.

The mean, median, mode, and the midpoint are the four indicators of central tendency. The arithmetic mean of the maximum and minimum values in a data set is used here to define the midpoint or mid-extreme of a set of statistical data values.

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I understand that the question you are looking for is:

A researcher is measuring the amount of time needed to solve a set of anagrams for a sample of n = 15 students. However, one of the participants fails to solve the problems so the researcher has an undetermined score. What is the best measure of central tendency for these data?

a) the mean

b) the median*

c) the mode

d) central tendency cannot be determined for these data

The slope of the line is -3/2

Th general formula for the equation of a line is expressed as;

y = mx + c

Given that the parameters are given as;

The slope of the line is given as;

Slope, m = y₂ - y/x₂ - x₁

Substitute the coordinates, we have;

Slope, m = 5 - 2/-3 --1

Subtract the values

Slope. m = 3/-2

Hence, the value is -3/2

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Answer:

x = 8

Step-by-step explanation:

To solve the equation x(x - 2) = 48 for x, we can first expand the left side:

x^2 - 2x = 48

Next, we'll add 2x to both sides to isolate x^2:

x^2 = 48 + 2x

Then, we'll subtract 2x from both sides:

x^2 - 2x = 48

Now we have a quadratic equation that we can solve for x using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

where a = 1, b = -2, and c = 48. Plugging these values into the formula:

x = (-(-2) ± √((-2)^2 - 4(1)(48))) / 2(1)

x = (2 ± √(4 + 192)) / 2

x = (2 ± √196) / 2

x = (2 ± 14) / 2

So the two solutions are x = (2 + 14) / 2 = 8 and x = (2 - 14) / 2 = -6.

Keep in mind that x cannot be negative in this context as it represents a measurement. Therefore, x = 8 is the only solution that has a meaningful value in this context.

Step-by-step explanation:

x(x-2)=48

Remove the parentheses

x²-2x=48

Move the constant to the left

x²- 2x - 48=0

Rewrite the expression

x² + 6x - 8x - 48 = 0

Factor the expressions

x(x+6) - 8(x+6) = 0

Separate into possible cases

(x+6) (x-8)=0

x + 6 = 0

x - 8 = 0

x = - 6 or x = 8

Yes the statement of my cousin that rotations, translations, and reflections will result in the congruence of corresponding lines, line segments, and angles is true

Yes, this is true. Congruence refers to the idea that two geometric figures are identical in size and shape. Translations, rotations, and reflections are rigid motions that preserve distances and angles, meaning that corresponding lines, line segments, and angles in the figures will remain congruent after the transformation.

This is because these transformations only involve shifting, rotating, or flipping the figure, but not changing its shape or size.

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The best estimate for the blue shark population would be = 234.

The total number of blue sharks that was tagged and released = 36 blue sharks.

The total number of sharks that the government corral = 130.

The number of sharks among the corral sharks that are tagged = 20

Since 130 = 20

X. = 36

Make X the subject of formula;

X = 130× 36/20

= 468/20

= 234.

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first we have to make a common denominator

then we just add or subtract depends on the sign

last (optional) i just used a calculator to see approximately what will the asnwer be

The value of the unknown variable in the equation is -16

Linear equations are equations that has a leading degree of 1.

Given the linear equation below

-2 = 2 + v/4

We need to calculate for the unknown variable 'v'

Subtract 2 from both sides

-2-2 = v/4

-4 = v/4

Swap

v/4 = -4

Multiply both sides by 4

v = -4 8 4

v = -16

Hence the value of the unknown variable from the equation is -16.

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The coordinates of the vertices of the image include the following: (-1, 3), (-1, -1), (5, -1), and (7, 3).

In this exercise, we would have to dilate (enlarge) the coordinates of the pre-image by using a scale factor of 2 centered at the point (1, 5) by using this mathematical expression:

(x, y)  →  (k(x - a) + a, k(y - b) + b)

For coordinate 1, we have;

Coordinate 1 = (2, 4)  →  (2(2 - 1) + 1, 2(4 - 5) + 5)

Coordinate 1 = (2, 4)  →  (2(-1) + 1, 2(-1) + 5)

Coordinate 1' = (-1, 3).

For coordinate 2, we have;

Coordinate 2 = (2, 2)  →  (2(2 - 1) + 1, 2(2 - 5) + 5)

Coordinate 2 = (2, 2)  →  (2(-1) + 1, 2(-3) + 5)

Coordinate 2' = (-1, -1).

For coordinate 3, we have;

Coordinate 3 = (3, 2)  →  (2(3 - 1) + 1, 2(2 - 5) + 5)

Coordinate 3 = (3, 2)  →  (2(2) + 1, 2(-3) + 5)

Coordinate 3' = (5, -1).

For coordinate 4, we have;

Coordinate 1 = (4, 4)  →  (2(4 - 1) + 1, 2(4 - 5) + 5)

Coordinate 1 = (4, 4)  →  (2(3) + 1, 2(-1) + 5)

Coordinate 1' = (7, 3).

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The estimated value of the variable x is 8. 24

it is important that we know algebraic expressions are expressions with terms, coefficients, variables, constants and factors.

They are also expressions with mathematical expressions.

From the information given, we have that;

8.9(x – 4.2) = 35.99

Now, divide both sides by 8.9, we get;

x - 4. 2 = 4. 04

collect the like terms, we have;

x = 4. 04 + 4.2

Add the collected like terms, we have;

x = 8. 24

Hence, we can say that the student's solution was incorrect and the value is 8.24

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Answer: 4x+2x+12x+9x+10x

Step-by-step explanation: The simplified expression is 37x. I didn't put an equal sign because that makes it an equation. The perimeter is the sum of all sides. All sides are given except one which can be solved using 12x because it is 2x less than that value or 10x.

Answer:

see below

Step-by-step explanation:

3540/3820 = 93%

so 7% decline

if linearly = every year decline 7%

so back in 1990, 3 years ago, the population was

p° = 3820/(1-7%)^3 =3820/.8=4749

so from 1990

p = 4749 * (1-7%)^t

2009 is 16 years from 1993

so p = 3820 * (1-7%)^16 =1196

Answer:

  A)  P(t) = 3820 -70t

  B)  2700

Step-by-step explanation:

You want a linear equation for the moose population that changed from 3820 in 1993 to 3540 in 1997, and you want the predicted population in 2009.

The slope of the linear function can be found from ...

  m = (p2 -p1)/(t2 -t1)

If we let t represent years after 1993, then this is ...

  m = (3540 -3820)/(4 -0) = -280/4 = -70

P(t) = 3820 -70t . . . . . . . . population is 3820 when t=0, 70 less each year

2009 is 16 years after 1993, so we want P(16):

  P(16) = 3820 -70·16 = 3820 -1120

  P(16) = 2700

The population is predicted to be 2700 in 2009.

The following statements is true: (c) if a trapezoid is also a kite, then it must be a parallelogram and others (a),(b) &(d) are false.

The following is a list of true and false statements regarding the relationship between kites, parallelograms, rhombi, and trapezoids:

(a) False. If a kite is also a parallelogram, it does not necessarily mean that it is a rhombus. A rhombus is a type of parallelogram with equal sides, while a kite is a specific type of quadrilateral with two pairs of equal-length sides.

(b) False. If a trapezoid is also a parallelogram, it does not necessarily mean that it is a rhombus. A rhombus is a type of parallelogram with equal sides, while a trapezoid is a type of quadrilateral with exactly one pair of parallel sides.

(c) True. If a trapezoid is also a kite, then it must be a parallelogram. A kite is a specific type of quadrilateral with two pairs of equal-length sides, which automatically makes it a parallelogram.

(d) False. If a rhombus is also a trapezoid, it does not necessarily mean that it is a kite. A kite is a specific type of quadrilateral with two pairs of equal-length sides, while a rhombus is a type of parallelogram with equal sides.

In conclusion, it's important to understand the definitions and properties of each type of quadrilateral to determine if a statement about their relationship is true or false.

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[tex]\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{+2}=y ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ (4)^2-4(2)(2)\implies \text{\LARGE 0}\qquad \stackrel{\textit{two real positive solutions}}{\textit{two x-intercepts}}[/tex]

Answer:

y = - 3x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3 , then

y = - 3x + c

the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - 3x - 3 ← equation of line of reflection

Answer is a = 1000.

[tex]a-0.15a=850[/tex]

[tex]a(\frac{a}{a} -\frac{0.15a}{a}) =850\\ \\a(1-0.15)=850[/tex]

[tex]\frac{a(1-0.15)}{(1-0.15)} =\frac{850}{(1-0.15)} \\ \\a=\frac{850}{(1-0.15)}\\ \\a=1000[/tex]

If this answer is correct, substituting "a" by the calculated value "1000" in the original equation should return a true statement. Let's test it.

[tex](1000)-0.15(1000)=850\\ \\[/tex]

That's correct. Our answer is a = 1000!

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The reason that best supports Statement 7 in the given proof is given as follows:

D. Subtraction property of equality.

The statement 6 in the proof is given as follows:

132 + m < C = 180º.

Then the statement 7 is defined as follows:

m < C = 48º.

The angle measure of 48º was obtained subtracting 180 by 132, which was done to isolate the angle measure of C, which we did subtracting both sides of the equality by 132.

This is the subtraction property of equality, hence the correct option is given by option D.

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The total cash due at signing is $3,700 at the local dealership..

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

The total cash due is calculated as:

Down payment: $1,800

Security deposit: $400

Acquisition fee: $300

Total: $1,800 + $400 + $300

Apply the addition operation, and we get

= $3,700

Thus, the total cash due at signing is $3,700.

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Answer: They are equal to one another.

1/5 is equal to 2/10.

First we must find a common denominator that both 2 and 10 can be divided by. 2 is a number that both are divisible by. So we must divide 2/10 by 2,leaving 1/5. This means that the number are equal to one another. So neither are greater than the other.

I hope this helps & Good Luck <3!!

Using algebraic expression, the semiannual property tax bill is (x * a / 1000) / 2

The semiannual property tax bill can be expressed algebraically as:

Semiannual Property Tax Bill = (Assessed Value * Annual Property Tax Rate / 1000) / 2

Where x is the assessed value and a is the annual property tax rate in dollars per $1,000 of assessed value.

So, the equation can be written as:

Semiannual Property Tax Bill = (x * a / 1000) / 2

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Answer:

Step-by-step explanation:

Write all of the multiples of ten between 67 and 113

   70 80 90 100 110

 all of these will be divisible by 2...just need to find the one(s) divisible by 6

        only    90

Answer:

Step-by-step explanation:

Given that cos(60°) = 1/2, we can use trigonometric identities to find the sine, cosine, and tangent of 30°:

Sine of 30°:

sin(30°) = √[1 - cos^2(30°)] = √[1 - (cos(60°)/2)^2] = √[1 - 1/4] = √3/2.

Cosine of 30°:

cos(30°) = √[1 - sin^2(30°)] = √[1 - (√3/2)^2] = √[1 - 3/4] = √1/4.

Tangent of 30°:

tan(30°) = sin(30°) / cos(30°) = (√3/2) / (√1/4) = √3.

So, the sine of 30° is √3/2, the cosine of 30° is √1/4, and the tangent of 30° is √3.

On each roll of a 6-sided die, we have 6 possible outcomes.

Then if we roll it twice, we will have 36 outcomes.

The outcomes where the sum is 4 are:

roll 1     roll 2    sum

1             3           4

3            1            4

2           2           4

Son in 3 out of 36 outcomes the sum can be 4, then the probability opf rolling a sum of 4 is given by the quotient:

P = 3/36

P = 1/12

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The x- and y-intercepts of the graph of the function f(x) = −4|x + 3| + 8 are as follows;

x-intercepts = -5 and -1.

y-intercept = -4.

In Mathematics, the x-intercept can be defined as the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

In Mathematics, the y-intercept is sometimes referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

In this exercise, we would use an online graphing calculator to plot the linear function in order to determine the x-intercepts and y-intercepts as shown in the image attached below.

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The required critical points of f is (0, 0) and the function f does not have a local maximum nor local minimum.

The critical points of a function f are the points in the domain where the partial derivatives of f are equal to 0 or are undefined. To find the critical points of f, we can find the partial derivatives of f with respect to x and y, and set them equal to 0:

df/dx = -2x

df/dy = 2y

Setting df/dx equal to 0, we have:

-2x = 0

So, x = 0.

Setting df/dy equal to 0, we have:

2y = 0

So, y = 0.

Thus, the only critical point of f is (0, 0).

To show that f does not have any local maximums nor any local minimums at the critical point (0, 0), we can check the second partial derivatives of f at this point:

d²f/dx² = -2

d²f/dy² = 2

d²f/dxdy = 0

At (0, 0), d²f/dx² is negative and d²f/dy² is positive, which indicates that f is a saddle point at (0, 0). This means that f does not have a local maximum nor a local minimum at (0, 0).

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Answer:

$12,581.53

Step-by-step explanation:

The balance of an account after having interest compounded annually can be represented using the equation:

[tex]A = P(1 + r)^{t}[/tex]

where [tex]A[/tex] is the final balance, [tex]P[/tex] is the principal (starting amount), [tex]r[/tex] is the rate of interest, and [tex]t[/tex] is the number of years that interest is applied.

We can plug the given values into this equation and solve for [tex]A[/tex].

[tex]P = \$10,000[/tex]     [tex]r = 4.7\%[/tex]     [tex]t = 5[/tex]

[tex]A = 10,000(1 + 4.7\%)^{5}[/tex]

[tex]A \approx \$12,581.53[/tex]

So, Sally's balance in an account that had $10,000 before being compounded for 5 years at an interest rate of 4.7% is $12,581.53.