Solve the equation 7x+12=x−6 to find the number, x .



x= __

Answer:

Step-by-step explanation:

Standard equation of an ellipse,

\(\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\)

(h, k) is the center of the ellipse

Value of a = Distance of the center from the vertex

b = Distance of the center from the covertex

From the picture attached,

a = Distance of the center (h, k) from the vertex (2, -2) = 3 units

b = Distance of the center (h, k) from the co-vertex (-1, 0) = 1 unit

Center of the ellipse (h, k) = (-1, -2)

Answer:

12 servings

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Jennifer Davis will earn $910.00 in simple interest on her investment.

The principal amount is $2,600.

The interest rate is 7% per year.

The time period is 5 years.

To calculate the simple interest, we can use the following formula:

simple interest = principal * interest rate * time

Plugging in the values for the principal, interest rate, and time period, we get:

simple interest = 2600 * 0.07 * 5 = 910

Therefore, Jennifer Davis will earn $910.00 in simple interest on her investment in 5 years.

In words, the simple interest is calculated by multiplying the principal amount by the interest rate and the time period. In this case, the principal amount is $2,600, the interest rate is 7%, and the time period is 5 years. Therefore, the simple interest is $910.00.

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Given,

principal(P)=$4000

Term Length (t)=4 years

Interest rate(i)=12%.

Let, I be the amount of interest of 4 years. Then,

Now, the monthy interest is

MOnthly payment is $105.

Therefore, the first payment of installment will go towards principal by

Hence, option (B) is correct.

Answer:

W= B-3 or 3=B-W

Step-by-step explanation:

just add or subtract either

Answer:

w = b - 3

Step-by-step explanation:

3 + w = b

-3        -3

w = b - 3

Hope this helps!

Answer:

14x+13y-15

Step-by-step explanation:

This is pretty simple. When it asks to combine terms, simply add up all of the same terms. So, all the numbers with x, all with y, and all with no value. For example, for x, we simply add up 5x+8x+x, with x equaling 1.

Hope this helps!

Answer:

14x+13y−15

Step-by-step explanation:

\(5x+3y+8x+x+10y-15 \\ 5x + 8x + x + 10y + 3y - 15 \\ 13x + x + 13y - 15 \\ 14x+13y−15 \)

Answer:

65--but the method is the important part that the directions indicated.

Step-by-step explanation:

26 + 39

(2 × 13) + (3 × 13)

The GCF is 13.

Factor the 13 out; it's like Distributive Property in reverse.

13 (2 + 3)

13 (5)

65

26+39= 65, so we obtain the same answer as just adding, by using GCF and Distributive Property.

Answer:

  13(2 +3)

Step-by-step explanation:

26 = 2·13

39 = 3·13

The greatest common factor is 13, so the sum can be written ...

  26 +39 = 13(2 +3)

_____

Additional comment

Of course, the value of the sum is ...

  13(2+3) = 13(5) = 65

Alternatively, the sum can be evaluated as ...

  26 +39 = 26 -1 +1 +39 = (26 -1) +(1 +39) = 25 +40 = 65

The answer is the lower bound theorem identifies -2 as a lower bound for the real zeros of f(x). The upper bound theorem does not specify any upper bound for the real zeros of (x)

The Lower bound theorem states that "If the terms of a polynomial are arranged in descending order of their degrees, then the absolute value of the quotient of the constant term and the coefficient of the term of the highest degree gives a lower bound for the absolute value of its zeros." Let's examine whether the lower bound theorem identifies -2 as a lower bound for the real zeros of f(x) and whether 3 is an upper bound for the real zeros of (x).

As f(x) = 56 = x + 17x² + 11x + 23Since f(x) is not arranged in descending order of their degrees, we have to rearrange it as follows. 17x² + 11x + x + 23 + 56 = 17x² + 12x + 79 on rearranging the equation we have: 17x² + 12x + 79 = 0Hence the constant term is 79 and the coefficient of the term of the highest degree is 17. Thus, using the lower bound theorem, we can evaluate that a lower bound for the absolute value of the zeros of the polynomial is 79/17 ≈ 4.65 Since -2 is less than the calculated lower bound of 4.65, it is indeed a lower bound for the real zeros of f(x). Now, for (x), the constant term is 0, and the coefficient of the term of the highest degree is 1. Thus, using the upper bound theorem, we can evaluate that an upper bound for the absolute value of the zeros of the polynomial is 1/0, which is equal to infinity. Since infinity is not a number, 3 cannot be an upper bound for the real zeros of (x).

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Answer:

Step-by-step explanation:

A. We must consider that Marisa is walking a straight trail so that the time required to cover a distance is persistent or constant.

B. The slope of the line is: y = m x + b

Where in this problem, y is the distance, m is the slope or the time it takes for each block, x is the time, and b would be the y intercept or the initial location of Marisa.

C. The slope m can be calculated using the formula:

m = (y2 – y1) / (x2 – x1)

m = (8 – 12) / (6 – 0)

m = -0.67

The negative sign is the space between Marisa and Sanjay’s home is declining by time. It further means that there is a cut in 0.67 blocks per minute.

D. y = - 0.67 x + b

The starting point of Marisa is at 12 blocks away from Sanjay’s home, therefore let b be 12.

Finding for time when distance is y = 0:

0 = -0.67 x + 12

x = 17.9 minutes

Therefore it takes approximately 17.9 minutes to go to Sanjay’s home.

Answer:

sure the bottle of 2 liters is greater but just a little. the 64 oz are equal as 1.89 liters

Answer: it would be D.

Step-by-step explanation: you'd multiply the 3 by the 3x then multiply the 3 with the 8.

Mica, a minor, signs a contract to pay National Fitness Club a monthly fee for twenty-four months to use its facilities. Six months later, after reaching the age of majority, Mica continues to use the club. This act is ratification.

Mica's consistent utilization of the club's amenities and covering the monthly expense as an adult is, in essence, an acknowledgment and acknowledgment of the agreement that was initially established when they were underage.

Also, if a contract is made with a person under the age of majority, it is deemed as voidable, which implies that the minor can choose to nullify or terminate the contract without incurring any legal obligations.

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Answer:

Step-by-step explanation:

Let all the measurements be in same unit.

200 cm = 2 m

2000 mm = 2 m

Let distance jumped by Jack = x m

Distance jumped by Jerzy = x + 2

Distance jumped by Abdullah = (x+ 2) + 2 = x + 4

Total = 12.69 m

x + x +2 +x +4 = 12.69

x +x + x + 2 + 4 = 12.69

         3x + 6      = 12.69

                  3x = 12.69 - 6

                 3x  = 6.69

                    x = 6.69/3

                    x = 2.23 m

distance jumped by Jack =2.23m

Distance jumped by Jerzy = 2.23 + 2 = 4.23 m

Distance jumped by Abdullah = 2.23 + 4 = 6.23 m

Answer:

(−1.5,1)

Step-by-step explanation:

Finding the distance, midpoint, slope, equation and the x y-intercepts of a line passing between the two points p1 (6,7) and p2 (-9,-5)

The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √ (-9-6)2+(-5-7)2

d = √ ((-15)2+(-12)2)

d = √ (225+144)

d = √ 369

The distance between the points is 19.2093727122985

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(6+-9)/2=-1.5

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(7+-5)/2=1

The midpoint is: (-1.5,1)

Answer:

(-1.5,1)

Step-by-step explanation:

the midpoint between 6 and -9 is -1.5

the midpoint between 7 and -5 is 1

(-1.5,1)

Explanation

We are given a triangle

and then asked to determine the value of x

To do so, we know that the total angles in a triangle are 180 degrees

Thus

The value of x is 41 degrees

The solution set is,

\(\theta = \left \{ {{0^0+360^0n, 120^0+ 360^0n} \atop {240^0+ 360^0}} \right.\)

option A is the correct answer.

From the question, we have

2cos⁡(θ)=2cos⁡(2θ)

cos⁡(2θ)-cos⁡(θ)=0

2cos^2⁡(θ)-cos⁡(θ)-1=0

cos⁡(θ)=(1±√(1+8))/(2×2)

cos⁡(θ)=1, cos⁡(θ)=-1/2

      \(\theta = \left \{ {{0^0+360^0n, 120^0+ 360^0n} \atop {240^0+ 360^0}} \right.\)

The solution is,

\(\theta = \left \{ {{0^0+360^0n, 120^0+ 360^0n} \atop {240^0+ 360^0}} \right.\)

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Answer:

C

Step-by-step explanation:

A equals 8

B eqauls 8

C equals-8

D equals 8

The magnitude of the number of the minutes in the school is 2.

Although the order of magnitude of zero is not specified, it is occasionally stated to have a magnitude of. Zero is less than any other positive number, and so is its order of magnitude, according to this infinitely negative order of magnitude.

There can be no negative magnitude. The component of the vector that lacks direction is its length (positive or negative).

The order of magnitude is the approximate representation of the logarithmic of the order's value and is typically considered to be 10 taken as the base.

On a scale of 10 logarithmic, the difference in the order of magnitude can be quantified.

The value storage is where you may find the number into the various magnetic.

As a result, the number of minutes spent in school is 2.

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Complete question -

What is the Order of Magnitude of the number of minutes in a school day?

Hello,

Answer D

-8 and 4 are zeros ==> y=k*(x+8)(x-4)=kx²+4kx-32k

(-2,18) is a point of the curve:

18=k*(-2)²-8k-32k

-36k=18

k= - 1/2

Answer:

Have a great rest of ur day :)

Step-by-step explanation:

The number 8.49 × 10⁻⁷ in decimal form is 0.000000849.

When a number is expressed in scientific notation, such as 8.49 × 10⁻⁷, it means that we need to multiply the first part (8.49) by the power of 10 raised to the exponent (-7). In this case, the exponent is negative, indicating that the decimal point needs to be shifted to the left.

To convert the number into decimal form, we move the decimal point 7 places to the left since the exponent is -7. This gives us the decimal representation of 0.000000849.

So, the correct answer is 0.000000849.

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The surface area of the shape is 168 square cm

The surface area of a figure is the area of the faces of the given figure.

For the given figure, the area will be the sum of area of 2 triangles and 3 rectangles.

Area = (6*3) +(10*6)+(6+10) +(10*3)

Surface area = 18 + 120 + 30

Surface area = 168 square cm

Hence the surface area of the shape is 168 square cm

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Answer:

17

Step-by-step explanation:

an=a1+(n-1)d

a22=-25+21(2)

a22=17

Answer:

Hello

a=-25

d=2

a22=a+(n-1)d

     =-25+(22-1)2

     =-25+(21)2

     =-25+42

     =17

Step-by-step explanation:

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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Van 't Hoff's law, also known as the law of osmotic pressure, states that the magnitude of the osmotic pressure is directly proportional to the concentration of solute particles in a solution at a given temperature.

Van 't Hoff's law is an important concept in chemistry and thermodynamics. It explains the relationship between osmotic pressure and the concentration of solute particles in a solution. According to the law, the osmotic pressure of a solution is directly proportional to the number of solute particles in the solution, regardless of the type of solute. This means that if the concentration of solute particles in a solution increases, the osmotic pressure also increases, and vice versa. This law has numerous applications, particularly in the field of biology, where it is used to explain the movement of water and nutrients in and out of cells. For example, when a plant cell is placed in a hypertonic solution, water moves out of the cell, causing it to shrink. On the other hand, when a plant cell is placed in a hypotonic solution, water moves into the cell, causing it to expand. Understanding Van 't Hoff's law is therefore critical in many fields of science, particularly in biology, chemistry, and chemical engineering.

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The sequence whose nth term is (2n+1)/(3n-1) converges to the number 2/3.

To use L'Hopital's rule, we need to take the limit of the ratio of the nth term and (n-1)th term as n approaches infinity.

Let a_n be the nth term of the sequence. lim (n->∞) a_n / a_(n-1) = lim (n->∞) (2n+1)/(3n-1) / (2n-1)/(3n-4) = lim (n->∞) [(2n+1)/(3n-1)] * [(3n-4)/(2n-1)] = lim (n->∞) [6n^2 - 5n - 4]/[6n^2 - 7n + 4]

By applying L'Hopital's rule, we can find that the limit of this ratio as n approaches infinity is 1. Thus, the sequence converges to the same limit as the ratio of consecutive terms, which is 2/3.

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\(\text {Hey! Let's Solve this Equation!}\)

\(\text {\underline {The First Step is to do Keep Change Change (KCC)}}\)

\(\text {Keep: 4.25}\\\text {Change: - into +}\\\text {Change: 2.5x into -2.5x}\)

\(\text {\underline {The Next Step is to Flip the Equation}}\)

\(\text {Before: 4.25+-2.5x=14.75}\\\text {After: -2.5x+4.25=14.75}\)

\(\text {\underline {The Next Step is to Subtract 4.25}}\)

\(\text {-2.5x+4.25-4.25=14.75-4.25=10.5}\\\text {-2.5x=10.5}\)

\(\text {\underline {The Final Step is to Divide -2.5}}\)

\(\text {-2.5x/-2.5=10.5/-2.5}\)

\(\text {Remember that Dividing a Positive to a Negative will Equal a Negative.}\)

\(\text {Your Answer Would Be:}\)

\(\fbox {x=-4.2}\)

\(\text {Best of Luck!}\)

Hey there!☺

\(Answer:\boxed{x=-4.2}\)

\(Explanation:\)

\(4.25-2.5x=14.75\)

Let's start by simplifying both sides in the equation.

\(4.25+-2.5x=14.75\\-2.5x+4.25=14.75\)

Now we subtract 4.25 from both sides in the equation.

\(-2.5x+4.25-4.25=14.75-4.25\\-2.5x=10.5\)

Now in our third/final step, we will divide both sides by -2.5.

\(\frac{-2.5x}{-2.5}= \frac{10.5}{-2.5}\)

Now we simplify 10.5/-2.5.

\(\frac{10.5}{-2.5}=-4.2\)

\(x=-4.2\)

Hope this helps!

To determine examples with a net torque of zero about the axis perpendicular to the page and extending from the center of the puck, we need to consider the conditions for torque equilibrium.

Torque is the rotational equivalent of force, and it depends on the force applied and the lever arm distance. To have a net torque of zero, the sum of the torques acting on an object must balance out. In this case, the axis is perpendicular to the page and extends from the center of the puck.

The applied forces must have equal magnitudes but act in opposite directions, creating a balanced couple. Without specific examples provided, it is not possible to determine the scenarios with a net torque of zero. The examples would need to be given in terms of the forces applied, their magnitudes, and the corresponding lever arm distances.

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M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Speed is the rate of distance over time.

The speed of the boat is 13mph south-west

Given

\(v_1 = 12mph\) --- west

\(v_2 = 5mph\) -- south

The speed is illustrated with the attached image

Because both speeds act at a diagonal, the speed (v) of the boat is calculated using Pythagoras theorem as follows:

\(v^2 = 12^2 + 5^2\)

\(v^2 = 144 + 25\)

\(v^2 = 169\)

Take square root

\(v = \sqrt{169\)

\(v = 13\)

Hence, the speed of the boat is 13mph south-west

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