Please helpppp :< here is 25 points

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.

Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.

For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.

To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

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Answer:

6x + 6y -xy + x^y + xy^2

Step-by-step explanation:

[ xy (-x - y -1) ]  + 2  (xy + x + y)

-x^2y - xy^2 - xy + 2xy + 2x + 2y

2x + 2y + xy - x^y - xy^2

8x + 8y - (2x + 2y + xy - x^2y - xy^2)

8x + 8y - 2x - 2y -xy + x^y + xy^2

6x + 6y -xy + x^y + xy^2

Answer:

V = 12,348·π

Step-by-step explanation:

The given parameters of the glass Vase are;

The shape of the glass vase = A sphere

The radius of the vase, r = 21 inches

The given formula for finding the volume of a sphere is \(V = \dfrac{4}{3} \cdot \pi \cdot r^3\)

Therefore, when r = 21 inches, we get;

\(V = \dfrac{4}{3} \cdot \pi \cdot 21^3 = {12,348 \cdot \pi}\)

Therefore, the expression for finding the equation of the spherical glass vase, V = 12,348·π

If isosceles trapezoid ABCD has a median XY then CD = 8 .

What is trapezoid?

A trapezοid is alsο knοwn as a trapezium is a fοur-sided pοlygοn οr a quadrilateral. It has οne set οf οppοsite sides which are parallel and a set οf nοn-parallel sides. The parallel sides are knοwn as the bases and the nοn-parallel sides are knοwn as the legs οf the trapezοid. A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

Given AX = 4

Now, AX = BX as XY is the meridian

i.e.

AB = 2AX

AB = 2(4)

AB = 8

We have given that the trapezoid is an isosceles trapezoid, which means

AB = CD

i.e.

CD = 8

Thus, If isosceles trapezoid ABCD has a median XY then CD = 8.

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Answer: Only j = 2

============================================

Explanation:

Let's solve for j

\(\frac{96}{j} \ge 40\\\\96 \ge 40j\\\\\frac{96}{40} \ge j\\\\2.4 \ge j\\\\j \le 2.4\)

In the second step, I multiplied both sides by j. If j is a positive number, then the inequality sign will not flip. All of the answer choices are positive numbers, so we don't have to worry about the inequality sign flipping.

The last step shows that j = 2.4 or j < 2.4

So j is 2.4 or smaller.

Of the list given to us, only j = 2 fits the description, since something like j = 8 is not 2.4 or smaller.

---------------------------

If j = 2, then,

\(\frac{96}{j} \ge 40\\\\\frac{96}{2} \ge 40\\\\48 \ge 40\\\\\)

which is a true statement since 48 is larger than 40. This shows that j = 2 is a solution.

Something like j = 8 does not work because

\(\frac{96}{j} \ge 40\\\\\frac{96}{8} \ge 40\\\\12 \ge 40\\\\\)

which is false because 12 is not equal to 40 or larger than 40. This means j = 8 is not a solution. You should find that j = 12 and j = 3 lead to similar false statements.

Of the list given, j = 2 is the only solution.

______________________________

So this is False.

So this is False.

So this is True.

So this is False.

______________________________

The money in the account at the end of the 4 years is $1034

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Now we are given that the initial amount deposited in the account is $1000

This account is giving 0.85% And we have to figure out how much amount will be there

We use compound interest formula to find the amount

\(A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034\)

Hence the amount will be after 4 years is $1034.

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We conclude that there is convincing evidence to reject the null hypothesis. Therefore, the data provide convincing evidence that the distribution has changed.

Based on the given information, a chi-square goodness-of-fit test was conducted to determine whether there is convincing evidence that the distribution has changed. The test statistic is 10.13 and the p-value is 0.0175.

To interpret these results, we need to compare the p-value to a predetermined significance level (α), which is usually set at 0.05.

Step 1: Compare the p-value to the significance level
- If the p-value ≤ α, then there is convincing evidence to reject the null hypothesis (i.e., the distribution has changed).
- If the p-value > α, then there is not enough evidence to reject the null hypothesis (i.e., no convincing evidence that the distribution has changed).

In this case, the p-value (0.0175) is less than the typical significance level (0.05)

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The interval at which the average rate of change of f(x) is negative is from x = 0 to x = 2.5.

The average rate of change is a type of function that describes the average rate at which a quanity decreases or increases with respect to another quanity.

Generally, for a function with a negative average rate of change, the graph must face down and have a negative slope.

Based on the graph shown in the image attached below, we can deduce that the interval for which the average rate of change of f(x) is negative is from x = 0 to x = 2.5.

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Answer:

1,000

Step-by-step explanation:

it is right trust me .

Answer:

142.5cm²

Step-by-step explanation:

15cm x 9.5cm = 142.5cm²

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

O....M.....G.....?!

i am only in 6th grade....

but i could do it.....but i have no idea...

BIG OOOOOF!

Answer:

1 3/4 cups of flour

1/3 cup oil

1 1/2 teaspoons baking powder

3/4 cups sugar

1/2 teaspoons salt

1 egg

3/4 cups milk

1/4 teaspoon cinnamon

I hope this is right!

Step-by-step explanation:

Looks like I can update my answer!

Okay...the recipe is...

Doughnut muffins

Yields: 36 muffins

5 1/4 cups of flour

1 cup oil

4 1/2 teaspoons baking powder

2 1/4 cups sugar

1 1/2 teaspoons salt

3 eggs

2 1/4 cups milk

3/4 teaspoon cinnamon

Alright, it looks as though what you need to do here first is to turn everything into improper fractions. This would result in:

21/4 cups of flour

1/1 cup oil

9/2 teaspoons baking powder

9/4 cups sugar

3/2 teaspoons salt

3/1 eggs

9/4 cups milk

3/4 teaspoon cinnamon

Then, divide everything by three...

7/4 cups of flour

1/3 cup oil

3/2 teaspoons baking powder

3/4 cups sugar

1/2 teaspoons salt

1/1 egg

3/4 cups milk

1/4 teaspoon cinnamon

...and simplify.

1 3/4 cups of flour

1/3 cup oil

1 1/2 teaspoons baking powder

3/4 cups sugar

1/2 teaspoons salt

1 egg

3/4 cups milk

1/4 teaspoon cinnamon

There you go!

The rational equation is equivalent to the polynomial 27 · x² - 36 · x + 12.

In this case we find a rational equation whose numerator and denominator are polynomials, which must be simplified by using algebra properties. The complete procedure is now shown:

(9 · x - 6)² / (2 · x⁴ + 4 - 2 · x⁴ - 1)                  Given

(81 · x² - 108 · x + 36) / (3)                             Perfect square binomial / Associative, commutative and modulative properties / Existence of additive inverse /Definition of subtraction

27 · x² - 36 · x + 12                                        Addition and subtraction of fractions with same denominator / Associative and commutative properties / Definition of division

The rational equation is equivalent to the polynomial 27 · x² - 36 · x + 12.

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Step-by-step explanation:

6x+2-9-1=0

6x+2-10=0

6x-8=0

6x=8

x=8/6

x=1.3

Answer:

Step-by-step explanation:

Option 1 : 180 miles = 60 miles per hour x number of hours Abdul

drove is the correct answer.

We have a boy named Abdul who drives at a speed of 60 miles per hour and he has covered 180 miles so far.

We have to find out which equation shows how to calculate the number of hours Abdul took to cover this distance.

Distance travelled by the body is given by = speed of the body x time taken to cover that distance.

d = s x t

In the question given to us - d = 180 miles   and   s = 60 miles/hour.

Lets assume the time taken by Abdul be n.

We know -

d = s x t

180 = 60 x n

Hence, Option 1 : 180 miles = 60 miles per hour x number of hours Abdul

drove is the correct answer.

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Answer:

how are you

Step-by-step explanation:

Answer:0.28

Step-by-step explanation:

Thats its.

If Kim has health insurance with a deductible of $500 and 80/20 coinsurance then amount she pay if she incurs a loss of $1500 is (c)$700 .

In an 80/20 coinsurance, the insurance company pays 80% of covered expenses after the deductible has been met, and the policyholder is responsible for paying the remaining 20%.

So , if Kim incurs a loss of $1500, she first needs to pay the $500 deductible before her insurance kicks in. After that, she will pay for 20% of the remaining $1000 in covered expenses:

⇒ 20% of $1,000 = $200

So, in total, Kim will pay $500 for the deductible plus $200 in coinsurance, for a total of:

⇒ $500 + $200 = $700

Therefore, If Kim will pay (c) $700.

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Answer:

Sure! A common fraction would be 7/10, because it is the simplest form that we can have of .7 in a fraction form.

If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians

Inverse of a function are the opposite of the function. Given the inverse of cosine function as shown:

\(cos^{-1}x\)

If x = 0, hence;

\(cos^{-1}{0\)

If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians

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The train will arrive at its final destination at 2:57 P.M. in the afternoon.

The total distance of the trip is 221 miles and the train travels at an average speed of 34 miles per hour. Using the formula:

time = distance / speed

We can calculate the total time it will take for the train to complete the journey without stopping at stations:

time = 221 / 34 = 6.5 hours

However, the train stops at each of ten stations for four minutes each, so the total time spent stopping is 10 x 4 = 40 minutes, or 0.67 hours. Therefore, the total time the journey will take, including the stops, is:

total time = 6.5 + 0.67 = 7.17 hours

The train departs at 7:30 A.M., so we can add 7.17 hours to this time to find the arrival time:

7:30 A.M. + 7.17 hours = 2:57 P.M.

Therefore, the train will arrive at its final destination at 2:57 P.M. in the afternoon.

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No, there cannot be a horizontal tangent at the point where the curve intersects the x-axis.

A smooth-drawn figure or line with a bend or turn is referred to as a curve.

A circle is an illustration of a curved shape.

The path, also known as the topological arc, is the name of the curve (or just arc).

If a curve is the continuous injective image of an interval or a circle, it is considered simple.

If a curve is determined by a continuous function, in other words.

So, it possible for the curve to have a horizontal tangent:

On the curve, horizontal tangents appear where:

x = -1 and y ≠ -1

y = 0 where the curve crosses the x-axis.

-1² + 2(-1) + 0⁴ + 4.0 ≠ 5

No, the point where the curve crosses the x-axis cannot have a horizontal tangent.

Therefore, no, there cannot be a horizontal tangent at the point where the curve intersects the x-axis.

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Complete question:

Consider the closed curve in the xy-plane given by : x²+2x+y⁴=4y = 5

Is it possible for this curve to have a horizontal tangent at points where it intersects the x-axis? explain your reasoning.

Answer:

1. For a rotation of 270° counterclockwise about the origin the coordinates of J' is (1, -2)

2. For a rotation of 180° counterclockwise about the origin the coordinates of K' is (-7, -1)

3. For a rotation of 90° counterclockwise about the origin the coordinates of L' is (3, 6)

4. For a rotation of 90° counterclockwise about the origin the coordinates of M' is (3, 1)

Step-by-step explanation:

The coordinates of the vertices of the parallelogram are given as follows;

J(2, 1), K(7, 1), L(6, -3), M(1, -3)

1. We have, for a rotation of 270° counterclockwise about the origin we have

f(x, y) = (y, -x)

Therefore, we have for the vertices;

f(J(2, 1)) = J'(1, -2)

Therefore, we have the coordinates of J' as (1, -2);

2. We have, for a rotation of 180° counterclockwise about the origin we have

f(x, y) = (-x, -y)

Therefore, we have for the vertex point K;

f(K(7, 1)) = K'(-7, -1)

3. We have, for a rotation of 90° counterclockwise about the origin we have

f(x, y) = (-y, x)

Therefore, we have for the vertex point L;

f(L(6, -3)) = L'(3, 6)

4. We have, for a rotation of 90° counterclockwise about the origin we have

f(x, y) = (-y, x)

Therefore, we have for the vertex point M;

f(M(1, -3)) = M'(3, 1)

Answer:

Step-by-step explanation:

In terms of relative growth rate Exponential growth is characterized by a constant relative growth rate.

Exponential growth is the process of increasing quantity over time. Occurs when the instantaneous rate of change of a quantity over time is proportional to the quantity itself. The exponential growth model has the form

y (t) = C eᵏᵗ, where k is the rate constant.

Relative Growth Rate:Relative growth rate (RGR) is the rate of growth relative to size. That is, the rate of growth per unit time relative to the size at that point in time and y'(t)/y(t) is the relative growth rate of a function y at time t.

1/y dy/dt = 1/y d(C eᵏᵗ)/dt

= 1/y(kC eᵏᵗ)

= 1/y ( ky) ( since, y (t) = C eᵏᵗ)

= k

Therefore a constant relative growth rate.

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Complete question:

In terms of relative growth rate, what is the defining property of exponential growth? Choose the correct answer below.

A. The relative growth rate at time t is the slope of the exponential function at time t.

B. dy dt If y represents a population, then the relative growth rate can be represented by dy/dt

C. The relative growth rate is proportional to the size of the population

D. The relative growth rate is constant.

The n-ary rule for linear sequences is 7n - 1. The given sequence is an arithmetic sequence.

What is Arithmetic Progression?

Any two consecutive integers in a sequence are in "arithmetic progression" (AP) if their difference is constant.

The formula is given by Tn = a + (n - 1) d. where,

a, first term = 6 n, number of terms

d, binomial tolerance = 13 - 6 = 7

So substitute the value into the equations. It will be as follows.

Tn = a + (n - 1)d

= 6 + (n - 1)7

= 6 + 7n - 7

= 7n - 1

So the n term of this sequence is 7n - 1. 

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Step-by-step explanation:

x =7-y

subs x in eqn 2

3(7-y)+y=15

21-3y+y=15

21-2y=15

21-15=2y

6=2y

y=6/2

y=3