How many terms are in the algebraic expression Negative 7 + 12 x 4 minus 5 y 8 + x?
1
2
3
4

Answer:

A.

Step-by-step explanation:

4 is greater than the exact value of -2 and 4 is greater than -2. The exact values of -2 are 2 and -2. 4 is greater than both 2 and -2. Thus, a is correct.  

Answer:

7 days

Step-by-step explanation:

2000-600 is 1400.

1400/200 is 7

2000=200x+600

x=7

The distance of 40 lb will be 5ft, according to the question.

What do you mean by distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

According to the given question,

We have the given information:

The fulcrum be located from the 40 lb.

The weight of bar is 9ft long.

Now, we will calculate the distance,

40x = 50(x-1)

40x = 50x - 50

40x - 50x = -50

-10x = -50

x = 5

Therefore, the required answer is 5ft.

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The curve is y = sqrt{x}.

Replace x in the curve with 1 and then with 4 to find your point.

y = sqrt{1}

y = 1

First point (1, 1).

y = sqrt{4}

y = 2

Second point (4, 2).

Take it from here.

The vector normal to the plane passing through the points (-7,2,-1), (-2,1,-5), and (-2,2,-3) is <4,17,11>.

To find the vector normal to the plane passing through three given points, we need to first find two vectors lying on the plane. We can do this by taking the difference between the first two points and the last two points.

Vector 1: (-7,2,-1) - (-2,1,-5) = <-5,1,4>

Vector 2: (-2,2,-3) - (-2,1,-5) = <0,1,2>

Next, we take the cross product of these two vectors to get the normal vector:

<4,17,11> = <-5,1,4> x <0,1,2>

The resulting vector is perpendicular to both vector 1 and vector 2, and hence lies on the plane passing through the three given points.

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Answer:

The answer is A.

Step-by-step explanation:

Store 1: 3 lbs for $10.5 ($3.5/lb)

Store 2: 2.5 lbs for $8.90 ($3.56/lb)

The answer is A. The sliced turkey at Store #1 is cheaper by $0.06 per pound

Based on the proof, the set {c1v1, c2v2} is also an orthogonal set.

It should be noted that to show that {c1v1, c2v2} is an orthogonal set, we need to show that their dot product is zero, i.e.,

(c1v1)⋅(c2v2) = 0

Expanding the dot product using the distributive property, we get:

(c1v1)⋅(c2v2) = c1c2(v1⋅v2)

Since {v1, v2} is an orthogonal set, their dot product is zero, i.e.,

v1⋅v2 = 0

Substituting this in the above equation, we get:

(c1v1)⋅(c2v2) = c1c2(v1⋅v2) = c1c2(0) = 0

Therefore, the set {c1v1, c2v2} is also an orthogonal set.

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Answer:
The cost of Jordan’s visits to the hair salon depends on the number of visits. The cost for 2 visits would be $60.00 (membership fee) + 2 * $26.00 (cost per visit) = $112.00. The cost for 4 visits would be $60.00 + 4 * $26.00 = $164.00. The cost for 5 visits would be $60.00 + 5 * $26.00 = $190.00. The cost for 8 visits would be $60.00 + 8 * $26.00 = $268.00.

Answer: 2 = 112 4 = 164 5 = 190 8 =268

Step-by-step explanation:

In order to solve this, the equation would be:

26x + 60

where x is the number of appointments, 26 is the amount each appointment costs, and 60 is the original price of the membership.

So...

2 visits would be $112

4 visits would be $164

5 visits would be $190

8 visits would be $268

Hope this is helpful

It can be affirmed that the area of the rectangle is equal to 18 square units because the equation that models the situation, a² + 7a = 18, represents the relationship between the dimensions of the rectangle and its area. By solving for a in the equation.

we can find the length and width of the rectangle, and then use those values to calculate its area . Given that the area of the rectangle is equal to 18 square units and the equation that models the situation is a² + 7a = 18, we can determine the relationship between the dimensions of the rectangle and its area. To understand why this is the case, we need to recall that the area of a rectangle is calculated as length times width.

Let's assume that the length of the rectangle is a units and the width is b units. Then, we can write the equation A = ab to represent the area of the rectangle. Since we know that the area of the rectangle is 18 square units, we can substitute this value for A in the equation, giving us 18 = ab. However, we still don't know the values of a and b, so we need another equation to solve for them. This is where the given equation, a² + 7a = 18, comes in. This equation represents the relationship between the length and width of the rectangle. To see why, let's rearrange the equation to get a quadratic in standard form: a² + 7a - 18 = 0.Then, we can factor the quadratic to get (a + 9)(a - 2) = 0. This tells us that a must be either -9 or 2, but since length cannot be negative, we know that

a = 2. We can then use this value to find the width of the rectangle, which is 9/2 units. Therefore, the dimensions of the rectangle are 2 units by 9/2 units, and its area is 2 x 9/2 = 9 square units. More generally, we can say that the equation a² + 7a = 18 represents a quadratic relationship between the dimensions of a rectangle and its area. By solving for a, we can find the length and width of the rectangle, and then use those values to calculate its area.

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Answer:

hyp = 83.9 ~ 84

Step-by-step explanation:

our given is a triangle and those are side so their squere is equal to the squere of hypothenus .

(82in) ^2 + (18in)^2 = (hyp)^2

6724 + 324 = (hyp)^2

7048 = (hyp)^2

hyp = √7048

hyp = 83.9 ~ 84 so the hypothenus is 83.9 approximate to 84

The percentage of change will be increased for the fractions \($\frac{3}{8}$\) and \($\frac{7}{8}$\).

As per the given data we have to determine the percent of change as an increase or a decrease.

Percentage of change means the increase or decrease in the earlier value.

If the current value is more than the previous value, the percentage increase can determine how much it has increased.

If the current value is less than the previous value, then the percentage decrease can determine how much it has decreased.

The given fractions are \($\frac{3}{8}$\) and \($\frac{7}{8}\)

First convert the given fractions to percentages.

To convert the given fractions to percentages multiply the fraction by 100.

For first fraction \(=\frac{3}{8} \times 100\)

= 0.375 × 100

= 37.5%

For second fraction \(=\frac{7}{8} \times 100\)

= 0.875 × 100

= 87.5%

As the second percentage is greater than the first percentage there will be increase in percentage.

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In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Answer:

C) SSS

Step-by-step explanation:

the 'tic' marks indicate which sides are congruent to each other

Answer:

8x5

Step-by-step explanation:

Just do 8x5 then you'll get your answer of 40. So he did it right because if you do 8x5 you'd get 40.

Answer:

Area of triangle=1/2 bh

b= 5in ,h = 8in

A= 1/2 ×5 × 8

= 20in.sq

Her answer was wrong because she forgot to multiply with 1/2 ....

The function that represents the situation is y = 125 sin(πt/20).

To construct the graph, we need to first find the equation of the circle that represents the Ferris wheel.

We know that the center of the circle is at the origin and one point on the circle is (125, 0).

Since the radius of the Ferris wheel is not given, we can assume it to be 100 feet (a common value for Ferris wheels).

Using the standard form of the equation of a circle, we get:

x² + y² = r²

Substituting the coordinates of the point (125, 0), we get:

125² + 0² = r²

Simplifying, we get:

r = 125

So the equation of the circle is:

x² + y² = 125²

To find the distance between the car and the horizontal axis at any given time, we need to find the y-coordinate of the point on the circle that corresponds to the angle swept out by the car in that time.

We know that the car takes 40 seconds to make a complete revolution around the Ferris wheel, so the angle swept out in t seconds is:

θ = 2πt/40

Using this angle, we can find the y-coordinate of the point on the circle as:

y = r sin(θ) = 125 sin(πt/20)

We can now plot a graph of y versus t from t=0 to t=40 seconds using a graphing calculator or spreadsheet software.

The resulting graph will show the relationship between the amount of time the car is in motion and the distance in feet between the car and the horizontal axis.

The graph will be a sinusoidal wave with a period of 40 seconds, an amplitude of 125 feet, and a vertical shift of 125 feet (since the lowest point of the Ferris wheel is at y=-125).

The graph will start at y=0 feet when t=0 seconds and will complete one cycle (from y=0 feet to y=0 feet) when t=40 seconds.

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Answer:

x = 6

Step-by-step explanation:

Given

\(\frac{3}{4}\) = \(\frac{3}{8}\) x - \(\frac{3}{2}\)

Multiply through by 8 ( the LCM of 2, 4, 8 ) to clear the fractions

6 = 3x - 12 ( add 12 to both sides )

18 = 3x ( divide both sides by 3 )

6 = x , that is x = 6

For this problem the universe is the number of raspberry plants which has a total of 340 possible outcomes. The event of the problem is "The raspberry are ready for picking" and it has 181 favorable outcomes; now, the complement of this event will be "The raspberry are not ready for picking" and to get its outcomes we subtract the number of plants that are ready to the total number of plants:

Therefore, the number of outcomes for the complement is 159

Answer:

4800 ft²

Step-by-step explanation:

Given that :

Area of cabin = 800 ft²

Width of cabin = 20 feets

Side yard setback of building = 20 feets

Depth of lot = 80 feets

The cabin is a rectangle :

Area of rectangle = Length * Width

800 = length * 20

Length = 800 / 20 = 40 feets

Hence,

Width of lot = side yard + Width of cabin = (20 + 20) = 40 feets

Length of lot = depth +. Length of cabin = (80 + 40) = 120 feets

Area of lot = Length of lot * width of lot

Area of lot = 120 ft * 40 ft = 4800 ft²

SSS congruence rules states that if three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

The SSS (Side-Side-Side) congruence rule states that if three sides of one triangle are equal to the three sides of another triangle, equal, and the two triangles share the same dimensions then the two triangles are congruent. This means that all of the angles and sides of the two triangles are In order for two triangles to be congruent according to the SSS congruence rule, the lengths of the three corresponding sides of the two triangles must be equal. If all three of these conditions are met, then the two triangles are congruent and can be used to solve a variety of geometric problems.

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The SSS congruence rule is rule that is used to prove two triangles congruent . Its full form is Side-Side-Side Congruence .

The Two Triangles can be called as  Congruent Triangles if their sides have same length and the angles also have the same measure.

One of the 4 rules in proving the triangles congruent is SSS .

The SSS Congruence Rules also called as (Side-Side-Side) Rule means that if all the three sides of one triangle are equal to the corresponding three sides in the other triangle ,

then we can say that the two triangles are congruent by SSS (Side-Side-Side) Rule .

Therefore , The SSS Congruence rule means Side-Side-Side Congruence .

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The time taken by the ball to hit the ground is required.

The time taken by the ball to hit the ground is 2 seconds.

u = Initial velocity = 30 feet per second

h = Initial height = 4 feet

t = Time taken

g = Acceleration due to gravity = \(-32\ \text{feet/s}^2\)

From the equations of kinematic motion we get

\(0=h+ut+\dfrac{1}{2}gt^2\\\Rightarrow 0=4+30t+\dfrac{1}{2}(-32)t^2\\\Rightarrow -32t^2+60t+8=0\\\Rightarrow t=\dfrac{-60\pm \sqrt{60^2-4\left(-32\right)\times8}}{2\left(-32\right)}\\\Rightarrow t=-0.125,2\)

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The end behavior of the graph of f(x) = x3(x + 3)(–5x + 1) using limits is as x ⇒ ∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ ∝

The equation of the function is given as:

f(x) = x^3(x + 3)(–5x + 1)

Using limits, we have:

As x approaches positive infinity, the function becomes

f(∝) = (∝)^3(∝ + 3)(–5(∝) + 1)

Evaluate the products and exponents

f(∝) = (∝)(∝)(–∝ + 1)

Evaluate the difference

f(∝) = (∝)(∝)(–∝)

Evaluate the product

f(∝) = -∝

This means that as x ⇒ ∝, f(x) ⇒ -∝

Using limits, we have:

As x approaches negative infinity, the function becomes

f(-∝) = (-∝)^3(-∝ + 3)(–5(-∝) + 1)

Evaluate the products and exponents

f(-∝) = (-∝)(-∝)(∝ + 1)

Evaluate the sum

f(-∝) = (-∝)(-∝)(∝)

Evaluate the product

f(-∝) = ∝

This means that as x ⇒ -∝, f(x) ⇒ ∝

Hence, the end behavior of the graph of f(x) = x3(x + 3)(–5x + 1) using limits is as x ⇒ ∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ ∝

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The required answer to the subtraction problem 83,456 - 728.88 is, 82,727.12

Subtraction is mathematical terminology that helps and elaborates the decrease in the original value by some value.

Here,
To perform the subtraction, you line up the decimal points and subtract the digits in each place value starting from the right. In this case, you subtract 8 from 6, which requires borrowing 1 from the digit to the left, giving you 16 - 8 = 8 in the one's place. You then subtract 2 from 5, giving you 3 in the tenth place. Continuing this process, you get the result of 82,727.12.

Thus, the answer to the subtraction problem 83,456 - 728.88 is, 82,727.12

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Answer:

11y

Step-by-step explanation:

The answer is 11y because is kinda like adding. You add 6 + 5 which is 11 and then you just convert the y so its 11y

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

Answer:

(x+3) is a factor of your question

Step-by-step explanation:

x²-6x-27

x²+3x-9x-27

x(x+3)-9(x+3)

(x+3)(x-9)

Answer:

Hope it can help you and please mark me as a brainlist .....

Answer:

do you mean 8^5/8^3

Step-by-step explanation:

snap it to see your question

Answer:

The answer is

Step-by-step explanation:

To convert an angle from degrees to radians multiply the value by \( \frac{\pi}{180} \)

From the question the value to be converted is - 420°

The value in radians is

\( - 420 \times \frac{\pi}{180} \\ = - \frac{420\pi}{180} \)

Reduce the fraction with 60

We have the final answer as

\( - \frac{7\pi}{3} \)

Hope this helps you

Given:

The equation of a circle is:

\((x-3)^2+y^2=32\)

To find:

Center and the circumference of the circle.

Solution:

The standard form of a circle is:

\((x-h)^2+(y-k)^2=r^2\)         ...(i)

Where, (h,k) is center and r is the radius.

We have,

\((x-3)^2+y^2=32\)           ...(ii)

On comparing (i) and (ii), we get

\(h=3,y=0,r=\sqrt{32}\)

So, the center of the circle is (3,0) and the radius of the circle is \(\sqrt{32}\).

Now, the circumference of the circle is:

\(C=2\pi r\)

\(C=2(3.14)(\sqrt{32})\)

\(C=35.525045\)

\(C\approx 35.5\)

Therefore, the circumference of the circle is about 35.5 units.